Please put answers below the boxes
1)
A politician claims that he is supported by a clear majority of voters. In a recent survey, 35 out of 51 randomly selected voters indicated that they would vote for the politician. Use a 5% significance level for the test. Use Table 1.
a.
Select the null and the alternative hypotheses.
H0: p = 0.50; HA: p ≠ 0.50
H0: p ≤ 0.50; HA: p > 0.50
H0: p ≥ 0.50; HA: p < 0.50
b.
Calculate the sample proportion. (Round your answer to 3 decimal places.)
Sample proportion
c.
Calculate the value of test statistic. (Round intermediate calculations to 4 decimal places. Round your answer to 2 decimal places.)
Test statistic
d.
Calculate the p-value of the test statistic. (Round intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
e.
What is the conclusion?
Do not reject H0; the politician is not supported by a clear majority
Do not reject H0; the politician is supported by a clear majority
Reject H0; the politician is not supported by a clear majority
Reject H0; the politician is supported by a clear majority
2)
Consider the following contingency table.
B
Bc
A
22
24
Ac
28
26
a.
Convert the contingency table into a joint probability table. (Round your intermediate calculations and final answers to 4 decimal places.)
B
Bc
Total
A
Ac
Total
b.
What is the probability that A occurs? (Round your intermediate calculations and final answer to 4 decimal places.)
Probability
c.
What is the probability that A and B occur? (Round your intermediate calculations and final answer to 4 decimal places.)
Probability
d.
Given that B has occurred, what is the probability that A occurs? (Round your intermediate calculations and final answer to 4 decimal places.)
Probability
e.
Given that Ac has occurred, what is the probability that B occurs? (Round your intermediate calculations and final answer to 4 decimal places.)
Probability
f.
Are A and B mutually exclusive events?
Yes because P(A | B) ≠ P(A).
Yes because P(A ∩ B) ≠ 0.
No because P(A | B) ≠ P(A).
No because P(A ∩ B) ≠ 0.
g.
Are A and B independent events?
Yes because P(A | B) ≠ P(A).
Yes because P(A ∩ B) ≠ 0.
No because P(A | B) ≠ P(A).
No because P(A ∩ B) ≠ 0.
3)
A hair salon in Cambridge, Massachusetts, reports that on seven randomly selected weekdays, the number of customers who visited the salon were 72, 55, 49, 35, 39, 23, and 77. It can be assumed that weekday customer visits follow a normal distribution. Use Table 2.
a.
Construct a 90% confidence interval for the average number of customers who visit the salon on weekdays. (Round intermediate calculations to 4 decimal places, "sample mean" and "sample standard deviation" to 2 decimal places and "t" value to 3 decimal places, and final answers to 2 decimal places.)
Confidence interval
to
b.
Construct a 99% confidence interval for the average number of customers who visit the .
1) Let P(A) = 0.35, P(B) = 0.30, and P(A ∩ B) = 0.17.a.Are A.docxdorishigh
1) Let P(A) = 0.35, P(B) = 0.30, and P(A ∩ B) = 0.17.
a.
Are A and B independent events?
Yes because P(A | B) = P(A).
Yes because P(A ∩ B) ≠ 0.
No because P(A | B) ≠ P(A).
No because P(A ∩ B) ≠ 0.
b.
Are A and B mutually exclusive events?
Yes because P(A | B) = P(A).
Yes because P(A ∩ B) ≠ 0.
No because P(A | B) ≠ P(A).
No because P(A ∩ B) ≠ 0.
c.
What is the probability that neither A nor B takes place
2)
(Use computer) Assume that X is a Poisson random variable with μ = 40. Calculate the following probabilities. (Round your intermediate calculations and final answers to 4 decimal places.)
a.P(X ≤ 29)
b.P(X = 33)
c.P(X > 36)
d.P(36 ≤ X ≤ 47)
3)
Scores on the final in a statistics class are as follows.
61
23
62
50
64
68
66
80
76
48
72
78
46
58
56
52
74
53
70
54
Click here for the Excel Data File
a.
Calculate the 25th, 50th, and 75th percentiles. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
25th percentile
50th percentile
75th percentile
b-1.
Calculate the IQR, lower limit and upper limit to detect outliers. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answers to 2 decimal places.)
IQR
Lower limit
Upper limit
b-2.
Are there any outliers?
Yes
No
4)
Consider the following observations from a population:
124
231
29
84
84
17
175
99
29
Click here for the Excel Data File
a.
Calculate the mean and median. (Round "mean" to 2 decimal places.)
Mean
Median
b.
Select the mode. (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer.)
84
29
99
17
124
231
175
5)
Consider the following sample data:
x
14
22
24
19
27
y
13
18
20
23
25
a.
Calculate the covariance between the variables. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Covariance
b-1.
Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Correlation coefficient
b-2.
Interpret the correlation coefficient.
There is relationship between x and y.
A a(a(42)) , perfect , weak, strong, or no
6)
The State Police are trying to crack down on speeding on a particular portion of the Massachusetts Turnpike. To aid in this pursuit, they have purchased a new radar gun that promises greater consistency and reliability. Specifically, the gun advertises ± one-mile-per-hour accuracy 93% of the time; that is, there is a 0.93 probability that the gun will detect a speeder, if the driver is actually speeding. Assume there is a 1% chance that the gun erroneously detects a speeder even when the driver is below the speed limit. Suppose that 90% of the drivers drive below the speed limit on this ...
[The following information applies to the questions displayed belo.docxdanielfoster65629
[The following information applies to the questions displayed below.]
A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.01 significance level.
H0: μ ≤ 10
H1: μ > 10
1.
Value:
10.00 points
Required information
a.
Is this a one- or two-tailed test?
One-tailed test
Two-tailed test
References
EBook & Resources
Multiple Choice Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean.
eBook: Conduct a test of a hypothesis about a population mean.
Check my work
2.
Value:
10.00 points
Required information
b.
What is the decision rule?
Reject H0 when z ≤ 2.326
Reject H0 when z > 2.326
References
EBook & Resources
Multiple Choice Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean.
eBook: Conduct a test of a hypothesis about a population mean.
Check my work
3.
Value:
10.00 points
Required information
c.
What is the value of the test statistic?
Value of the test statistic
References
EBook & Resources
Worksheet Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean.
eBook: Conduct a test of a hypothesis about a population mean.
Check my work
4.
Value:
10.00 points
Required information
d.
What is your decision regarding H0?
Fail to reject H0
Reject H0
References
EBook & Resources
Multiple Choice Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean.
eBook: Conduct a test of a hypothesis about a population mean.
Check my work
5.
Value:
10.00 points
Required information
e.
What is the p-value?
p-value
References
Given the following hypotheses:
H0 : μ = 400
H1 : μ ≠ 400
A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:
a.
State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)
Reject H0 when the test statistic is the interval (,).
b.
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
c.
What is your decision regarding the null hypothesis?
Do not reject
Reject
The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using the .10 level of significance, can we conclude that the assembly time using the new method is faster?
a.
What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Rej.
JKN 10 Inference 2 Populations.Consider the following set of d.docxchristiandean12115
JKN 10 Inference 2 Populations.
Consider the following set of data.
Pairs
1
2
3
4
5
Sample A
9
4
3
5
3
Sample B
3
8
2
7
1
(a) Find the paired differences, d = A - B, for this set of data.
(d1)
(d2)
(d3)
(d4)
(d5)
(b) Find the mean d of the paired differences. (Give your answer correct to one decimal place.)
(c) Find the standard deviation sd of the paired differences. (Give your answer correct to two decimal places.)
Salt-free diets are often prescribed to people with high blood pressure. The following data values were obtained from an experiment designed to estimate the reduction in diastolic blood pressure as a result of consuming a salt-free diet for 2 weeks. Eight subjects had their blood pressure measured and then ate a salt free diet for two weeks and had their blood pressure measured again. Assume diastolic readings to be normally distributed.
Before
99
105
93
102
100
108
107
97
After
92
102
91
94
96
98
100
93
(a) The proper TI-83 program to use to compute the confidence interval for the mean reduction in blood pressure is:
(b) Find the 98% confidence interval for the mean reduction. (Give your answers correct to two decimal places.)
Lower Limit
Upper Limit
(c) Which of the following statements is true about the confidence interval? (More than one may apply)
We are 98% confident that the true mean of the individual differences in blood pressure is in the intervalIf we took 100 samples and constructed 100 confidence intervals for the mean of the individual differences, approximately 98 of them would contain the true mean of the individual differencesWe are 98 % confident that the mean of the after data minus the mean of the before data is in the intervalWe are 98 % confident that the mean of the before data minus the mean of the after data is in the interval
An experiment was designed to estimate the mean difference in weight gain for pigs fed ration A as compared with those fed ration B. Eight pairs of pigs were used. The pigs within each pair were litter-mates. The rations were assigned at random to the two animals within each pair. The gains (in pounds) after 45 days are shown in the following table. Assuming weight gain is normal, find the 99% confidence interval estimate for the mean of the differences μd, where d = ration A - ration B. (Give your answers correct to two decimal places.)
Litter
1
2
3
4
5
6
7
8
Ration A
56
40
60
59
43
40
50
46
Ration B
54
30
50
56
37
36
42
40
Lower Limit
Upper Limit
State the null hypothesis, Ho, and the alternative hypothesis, Ha, that would be used to test these claims.
(a) There is an increase in the mean difference between post-test and pretest scores.(d=post-test scores - pretest scores)
Ho: μd
0
Ha: μd
0
(b) Following a special training session, it is believed that the mean of the difference in performance scores will not be zero.
Ho: μd
0
Ha: μd
0
(c) On average, there is no difference between the readings from two inspectors on .
Statistics practice for finalBe sure to review the following.docxdessiechisomjj4
Statistics practice for final
Be sure to review the following and have this information handy when taking Final GHA:
· Calculating z alpha/2 and t alpha/2 on Tables II and IV
· Find sample size for estimating population mean. Formula 8.3 p. 321 OCR.
· Stating H0 and H1 claims about variation and about the mean. Chapter 9 OCR.
· Type I and Type II errors p. 345 OCR.
· Confidence Interval for difference between two population means. Chapter 10 OCR p. 428
· Pooled sample standard deviation. Chapter 10 OCR p. 397
· What do Chi-Square tests measure? How are their degrees of freedom calculated? Chapter 12 OCR
· Find F test statistic using One-Way ANOVA.xls Be sure to enable editing and change values to match your problem. One-Way ANOVA.xls
· Find equation of regression line used to predict. To do on Excel, go to a blank worksheet, enter x values in one column and their matching y values in another column. Click Insert – Select Scatterplot. Right click any one of the points (diamonds) on the graph. Left click “Add a Trendline.” Check “Display Equation on Chart” box. Regression equation will appear on chart. Try it here with No. 20 below.
Practice Problems
Chapter 8 Final Review
1) In which of the following situations is it reasonable to use the z-interval
procedure to obtain a confidence interval for the population mean?
Assume that the population standard deviation is known.
A. n = 10, the data contain no outliers, the variable under consideration is
not normally distributed.
B. n = 10, the variable under consideration is normally distributed.
C. n = 18, the data contain no outliers, the variable under consideration is
far from being normally distributed.
D. n = 18, the data contain outliers, the variable under consideration is
normally distributed.
Find the necessary sample size.
2) The weekly earnings of students in one age group are normally
distributed with a standard deviation of 10 dollars. A researcher wishes to
estimate the mean weekly earnings of students in this age group. Find the
sample size needed to assure with 95 percent confidence that the sample
mean will not differ from the population mean by more than 2 dollars.
Find the specified t-value.
3) For a t-curve with df = 6, find the two t-values that divide the area under
the curve into a middle 0.99 area and two outside areas of 0.005.
Provide an appropriate response.
4) Under what conditions would you choose to use the t-interval procedure
instead of the z-interval procedure in order to obtain a confidence
interval for a population mean? What conditions must be satisfied in
order to use the t-interval procedure?
CHAPTER 8 Answers
1) B
2) 97
3) -3.707, 3.707
4) When the population standard deviation is unknown, the t-interval procedure is used instead of the
z-interval procedure. The t-interval procedure works provided that the population is normally
distributed or the.
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1) A sample of 47 observations is selected from a normal popul.docxSONU61709
1) A sample of 47 observations is selected from a normal population. The sample mean is 31, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level.
H0 : μ ≤ 30
H1 : μ > 30
a.
Is this a one- or two-tailed test?
"One-tailed"-the alternate hypothesis is greater than direction.
"Two-tailed"-the alternate hypothesis is different from direction.
b.
What is the decision rule? (Round your answer to 3 decimal places.)
H0, when z >
c.
What is the value of the test statistic? (Round your answer to 2 decimal places.)
Value of the test statistic
d.
What is your decision regarding H0?
Reject
Do not reject
There is evidence to conclude that the population mean is greater than 30.
e.
What is the p-value? (Round your answer to 4 decimal places.)
p-value
2) At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average $86 a day in tips.” Assume the population of daily tips is normally distributed with a standard deviation of $3.81. Over the first 48 days she was employed at the restaurant, the mean daily amount of her tips was $87.07. At the 0.02 significance level, can Ms. Brigden conclude that her daily tips average more than $86?
a.
State the null hypothesis and the alternate hypothesis.
H0: μ = 86 ; H1: μ ≠ 86
H0: μ ≥ 86 ; H1: μ < 86
H0: μ ≤ 86 ; H1: μ > 86
H0: μ >86 ; H1: μ = 86
b.
State the decision rule.
Reject H0 if z > 2.05
Reject H1 if z < 2.05
Reject H0 if z < 2.05
Reject H1 if z > 2.05
c.
Compute the value of the test statistic. (Round your answer to 2 decimal places.)
Value of the test statistic
d.
What is your decision regarding H0?
Reject H0
Do not reject H0
e.
What is the p-value? (Round your answer to 4 decimal places.)
p-value
3) The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 37 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 41 sales representatives reveals that the mean number of calls made last week was 40. The standard deviation of the sample is 5.6 calls. Using the 0.025 significance level, can we conclude that the mean number of calls per salesperson per week is more than 37?
H0 : μ ≤ 37
H1 : μ > 37
1.
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
2.
What is your decision regarding H0?
H0. The mean number of calls is than 37 per week.
4) A United Nations report shows the mean family income for Mexican migrants to the United States is $27,540 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 19 Mexican family units reveals a mean to be $28,956 with a sample standard deviation of $10,250. Does this information disagree with the United Nations report? Apply the 0.01 significance level.
a.
St ...
1) Let P(A) = 0.35, P(B) = 0.30, and P(A ∩ B) = 0.17.a.Are A.docxdorishigh
1) Let P(A) = 0.35, P(B) = 0.30, and P(A ∩ B) = 0.17.
a.
Are A and B independent events?
Yes because P(A | B) = P(A).
Yes because P(A ∩ B) ≠ 0.
No because P(A | B) ≠ P(A).
No because P(A ∩ B) ≠ 0.
b.
Are A and B mutually exclusive events?
Yes because P(A | B) = P(A).
Yes because P(A ∩ B) ≠ 0.
No because P(A | B) ≠ P(A).
No because P(A ∩ B) ≠ 0.
c.
What is the probability that neither A nor B takes place
2)
(Use computer) Assume that X is a Poisson random variable with μ = 40. Calculate the following probabilities. (Round your intermediate calculations and final answers to 4 decimal places.)
a.P(X ≤ 29)
b.P(X = 33)
c.P(X > 36)
d.P(36 ≤ X ≤ 47)
3)
Scores on the final in a statistics class are as follows.
61
23
62
50
64
68
66
80
76
48
72
78
46
58
56
52
74
53
70
54
Click here for the Excel Data File
a.
Calculate the 25th, 50th, and 75th percentiles. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
25th percentile
50th percentile
75th percentile
b-1.
Calculate the IQR, lower limit and upper limit to detect outliers. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answers to 2 decimal places.)
IQR
Lower limit
Upper limit
b-2.
Are there any outliers?
Yes
No
4)
Consider the following observations from a population:
124
231
29
84
84
17
175
99
29
Click here for the Excel Data File
a.
Calculate the mean and median. (Round "mean" to 2 decimal places.)
Mean
Median
b.
Select the mode. (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer.)
84
29
99
17
124
231
175
5)
Consider the following sample data:
x
14
22
24
19
27
y
13
18
20
23
25
a.
Calculate the covariance between the variables. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Covariance
b-1.
Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Correlation coefficient
b-2.
Interpret the correlation coefficient.
There is relationship between x and y.
A a(a(42)) , perfect , weak, strong, or no
6)
The State Police are trying to crack down on speeding on a particular portion of the Massachusetts Turnpike. To aid in this pursuit, they have purchased a new radar gun that promises greater consistency and reliability. Specifically, the gun advertises ± one-mile-per-hour accuracy 93% of the time; that is, there is a 0.93 probability that the gun will detect a speeder, if the driver is actually speeding. Assume there is a 1% chance that the gun erroneously detects a speeder even when the driver is below the speed limit. Suppose that 90% of the drivers drive below the speed limit on this ...
[The following information applies to the questions displayed belo.docxdanielfoster65629
[The following information applies to the questions displayed below.]
A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.01 significance level.
H0: μ ≤ 10
H1: μ > 10
1.
Value:
10.00 points
Required information
a.
Is this a one- or two-tailed test?
One-tailed test
Two-tailed test
References
EBook & Resources
Multiple Choice Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean.
eBook: Conduct a test of a hypothesis about a population mean.
Check my work
2.
Value:
10.00 points
Required information
b.
What is the decision rule?
Reject H0 when z ≤ 2.326
Reject H0 when z > 2.326
References
EBook & Resources
Multiple Choice Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean.
eBook: Conduct a test of a hypothesis about a population mean.
Check my work
3.
Value:
10.00 points
Required information
c.
What is the value of the test statistic?
Value of the test statistic
References
EBook & Resources
Worksheet Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean.
eBook: Conduct a test of a hypothesis about a population mean.
Check my work
4.
Value:
10.00 points
Required information
d.
What is your decision regarding H0?
Fail to reject H0
Reject H0
References
EBook & Resources
Multiple Choice Difficulty: 2 Intermediate Learning Objective: 10-05 Conduct a test of a hypothesis about a population mean.
eBook: Conduct a test of a hypothesis about a population mean.
Check my work
5.
Value:
10.00 points
Required information
e.
What is the p-value?
p-value
References
Given the following hypotheses:
H0 : μ = 400
H1 : μ ≠ 400
A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:
a.
State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)
Reject H0 when the test statistic is the interval (,).
b.
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
c.
What is your decision regarding the null hypothesis?
Do not reject
Reject
The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using the .10 level of significance, can we conclude that the assembly time using the new method is faster?
a.
What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Rej.
JKN 10 Inference 2 Populations.Consider the following set of d.docxchristiandean12115
JKN 10 Inference 2 Populations.
Consider the following set of data.
Pairs
1
2
3
4
5
Sample A
9
4
3
5
3
Sample B
3
8
2
7
1
(a) Find the paired differences, d = A - B, for this set of data.
(d1)
(d2)
(d3)
(d4)
(d5)
(b) Find the mean d of the paired differences. (Give your answer correct to one decimal place.)
(c) Find the standard deviation sd of the paired differences. (Give your answer correct to two decimal places.)
Salt-free diets are often prescribed to people with high blood pressure. The following data values were obtained from an experiment designed to estimate the reduction in diastolic blood pressure as a result of consuming a salt-free diet for 2 weeks. Eight subjects had their blood pressure measured and then ate a salt free diet for two weeks and had their blood pressure measured again. Assume diastolic readings to be normally distributed.
Before
99
105
93
102
100
108
107
97
After
92
102
91
94
96
98
100
93
(a) The proper TI-83 program to use to compute the confidence interval for the mean reduction in blood pressure is:
(b) Find the 98% confidence interval for the mean reduction. (Give your answers correct to two decimal places.)
Lower Limit
Upper Limit
(c) Which of the following statements is true about the confidence interval? (More than one may apply)
We are 98% confident that the true mean of the individual differences in blood pressure is in the intervalIf we took 100 samples and constructed 100 confidence intervals for the mean of the individual differences, approximately 98 of them would contain the true mean of the individual differencesWe are 98 % confident that the mean of the after data minus the mean of the before data is in the intervalWe are 98 % confident that the mean of the before data minus the mean of the after data is in the interval
An experiment was designed to estimate the mean difference in weight gain for pigs fed ration A as compared with those fed ration B. Eight pairs of pigs were used. The pigs within each pair were litter-mates. The rations were assigned at random to the two animals within each pair. The gains (in pounds) after 45 days are shown in the following table. Assuming weight gain is normal, find the 99% confidence interval estimate for the mean of the differences μd, where d = ration A - ration B. (Give your answers correct to two decimal places.)
Litter
1
2
3
4
5
6
7
8
Ration A
56
40
60
59
43
40
50
46
Ration B
54
30
50
56
37
36
42
40
Lower Limit
Upper Limit
State the null hypothesis, Ho, and the alternative hypothesis, Ha, that would be used to test these claims.
(a) There is an increase in the mean difference between post-test and pretest scores.(d=post-test scores - pretest scores)
Ho: μd
0
Ha: μd
0
(b) Following a special training session, it is believed that the mean of the difference in performance scores will not be zero.
Ho: μd
0
Ha: μd
0
(c) On average, there is no difference between the readings from two inspectors on .
Statistics practice for finalBe sure to review the following.docxdessiechisomjj4
Statistics practice for final
Be sure to review the following and have this information handy when taking Final GHA:
· Calculating z alpha/2 and t alpha/2 on Tables II and IV
· Find sample size for estimating population mean. Formula 8.3 p. 321 OCR.
· Stating H0 and H1 claims about variation and about the mean. Chapter 9 OCR.
· Type I and Type II errors p. 345 OCR.
· Confidence Interval for difference between two population means. Chapter 10 OCR p. 428
· Pooled sample standard deviation. Chapter 10 OCR p. 397
· What do Chi-Square tests measure? How are their degrees of freedom calculated? Chapter 12 OCR
· Find F test statistic using One-Way ANOVA.xls Be sure to enable editing and change values to match your problem. One-Way ANOVA.xls
· Find equation of regression line used to predict. To do on Excel, go to a blank worksheet, enter x values in one column and their matching y values in another column. Click Insert – Select Scatterplot. Right click any one of the points (diamonds) on the graph. Left click “Add a Trendline.” Check “Display Equation on Chart” box. Regression equation will appear on chart. Try it here with No. 20 below.
Practice Problems
Chapter 8 Final Review
1) In which of the following situations is it reasonable to use the z-interval
procedure to obtain a confidence interval for the population mean?
Assume that the population standard deviation is known.
A. n = 10, the data contain no outliers, the variable under consideration is
not normally distributed.
B. n = 10, the variable under consideration is normally distributed.
C. n = 18, the data contain no outliers, the variable under consideration is
far from being normally distributed.
D. n = 18, the data contain outliers, the variable under consideration is
normally distributed.
Find the necessary sample size.
2) The weekly earnings of students in one age group are normally
distributed with a standard deviation of 10 dollars. A researcher wishes to
estimate the mean weekly earnings of students in this age group. Find the
sample size needed to assure with 95 percent confidence that the sample
mean will not differ from the population mean by more than 2 dollars.
Find the specified t-value.
3) For a t-curve with df = 6, find the two t-values that divide the area under
the curve into a middle 0.99 area and two outside areas of 0.005.
Provide an appropriate response.
4) Under what conditions would you choose to use the t-interval procedure
instead of the z-interval procedure in order to obtain a confidence
interval for a population mean? What conditions must be satisfied in
order to use the t-interval procedure?
CHAPTER 8 Answers
1) B
2) 97
3) -3.707, 3.707
4) When the population standard deviation is unknown, the t-interval procedure is used instead of the
z-interval procedure. The t-interval procedure works provided that the population is normally
distributed or the.
QNT Weekly learning assessments - Questions and Answers | UOP E AssignmentsUOP E Assignments
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1) A sample of 47 observations is selected from a normal popul.docxSONU61709
1) A sample of 47 observations is selected from a normal population. The sample mean is 31, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level.
H0 : μ ≤ 30
H1 : μ > 30
a.
Is this a one- or two-tailed test?
"One-tailed"-the alternate hypothesis is greater than direction.
"Two-tailed"-the alternate hypothesis is different from direction.
b.
What is the decision rule? (Round your answer to 3 decimal places.)
H0, when z >
c.
What is the value of the test statistic? (Round your answer to 2 decimal places.)
Value of the test statistic
d.
What is your decision regarding H0?
Reject
Do not reject
There is evidence to conclude that the population mean is greater than 30.
e.
What is the p-value? (Round your answer to 4 decimal places.)
p-value
2) At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average $86 a day in tips.” Assume the population of daily tips is normally distributed with a standard deviation of $3.81. Over the first 48 days she was employed at the restaurant, the mean daily amount of her tips was $87.07. At the 0.02 significance level, can Ms. Brigden conclude that her daily tips average more than $86?
a.
State the null hypothesis and the alternate hypothesis.
H0: μ = 86 ; H1: μ ≠ 86
H0: μ ≥ 86 ; H1: μ < 86
H0: μ ≤ 86 ; H1: μ > 86
H0: μ >86 ; H1: μ = 86
b.
State the decision rule.
Reject H0 if z > 2.05
Reject H1 if z < 2.05
Reject H0 if z < 2.05
Reject H1 if z > 2.05
c.
Compute the value of the test statistic. (Round your answer to 2 decimal places.)
Value of the test statistic
d.
What is your decision regarding H0?
Reject H0
Do not reject H0
e.
What is the p-value? (Round your answer to 4 decimal places.)
p-value
3) The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 37 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 41 sales representatives reveals that the mean number of calls made last week was 40. The standard deviation of the sample is 5.6 calls. Using the 0.025 significance level, can we conclude that the mean number of calls per salesperson per week is more than 37?
H0 : μ ≤ 37
H1 : μ > 37
1.
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
2.
What is your decision regarding H0?
H0. The mean number of calls is than 37 per week.
4) A United Nations report shows the mean family income for Mexican migrants to the United States is $27,540 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 19 Mexican family units reveals a mean to be $28,956 with a sample standard deviation of $10,250. Does this information disagree with the United Nations report? Apply the 0.01 significance level.
a.
St ...
Page 1 of 18Part A Multiple Choice (1–11)______1. Using.docxalfred4lewis58146
Page 1 of 18
Part A: Multiple Choice (1–11)
______1. Using the “eyeball” method, the regression line = 2+2x has been fitted to the data points (x = 2, y = 1), (x = 3, y = 8), and (x = 4, y = 7). The sum of the squared residuals will be
a. 7 b. 19 c. 34 d. 8
______2. A computer statistical package has included the following quantities in its output: SST = 50, SSR = 35, and SSE = 15. How much of the variation in y is explained by the regression equation?
a. 49% b. 70% c. 35% d. 15%
______3. In testing the significance of b, the null hypothesis is generally that
a. β = b b. β 0 c. β = 0 d. β = r
______4. Testing whether the slope of the population regression line could be zero is equivalent to testing whether the population _____________ could be zero.
a. standard error of estimate c. y-intercept
b. prediction interval d. coefficient of correlation
______5. A multiple regression equation includes 4 independent variables, and the coefficient of multiple determination is 0.64. How much of the variation in y is explained by the regression equation?
a. 80% b. 16% c. 32% d. 64%
______6. A multiple regression analysis results in the following values for the sum-of-squares terms: SST = 50.0, SSR = 35.0, and SSE = 15.0. The coefficient of multiple determination will be
a. = 0.35 b. = 0.30 c. = 0.70 d. = 0.50
______7. In testing the overall significance of a multiple regression equation in which there are three independent variables, the null hypothesis is
a. :
b. :
c. :
d. :
______8. In a multiple regression analysis involving 25 data points and 4 independent variables, the sum-of-squares terms are calculated as SSR = 120, SSE = 80, and SST = 200. In testing the overall significance of the regression equation, the calculated value of the test statistic will be
a. F = 1.5 c. F = 5.5
b. F = 2.5 d. F = 7.5
______9. For a set of 15 data points, a computer statistical package has found the multiple regression equation to be = -23 + 20+ 5 + 25 and has listed the t-ratio for testing the significance of each partial regression coefficient. Using the 0.05 level in testing whether = 20 differs significantly from zero, the critical t values will be
a. t = -1.960 and t= +1.960
b. t = -2.132 and t = +2.132
c. t = -2.201 and t = +2.201
d. t = -1.796 and t = +1.796
______10. Computer analyses typically provide a p-Value for each partial regression coefficient. In the case of , this is the probability that
a. = 0
b. =
c. the absolute value of could be this large if = 0
d. the absolute value of could be this large if 1
______11. In the multiple regression equation, = 20,000 + 0.05+ 4500 , is the estimated household income, is the amount of life insurance held by the head of the household, and is a dummy variable ( = 1 if the family owns mutual funds, 0 if it doesn’t). The interpretation of = 4500 is that
a. owing mutual funds increases the estimated income by $4500
b. the average value of a mut.
1) A sample of 10 observations is selected from a normal populatio.docxdorishigh
1) A sample of 10 observations is selected from a normal population for which the population standard deviation is known to be 6. The sample mean is 23. (Round your answers to 3 decimal places.)
A) The standard error of the mean is ________
B) The 99 percent confidence interval for the population mean is between _______and ________
2) The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 20 chickens shows they laid an average of 20 eggs per month with a standard deviation of 2.63 eggs per month (Round your answer to 3 decimal places.)
A) What is the best estimate of this value?
B) For a 99 percent confidence interval, the value of t is ______
C) The 99 percent confidence interval for the population mean is _______to ________
3) As a condition of employment, Fashion Industries applicants must pass a drug test. Of the last 230 applicants 26 failed the test.
A) Develop a 90 percent confidence interval for the proportion of applicants that fail the test. (Round your answers to 3 decimal places.)
For the applicants the confidence interval is between _______ and _______
B) Would it be reasonable to conclude that more than 11 percent of the applicants are now failing the test? Yes or No
C) In addition to the testing of applicants, Fashion Industries randomly tests its employees throughout the year. Last year in the 520 random tests conducted, 22 employees failed the test. Would it be reasonable to conclude that less than 6 percent of the employees are not able to pass the random drug test? Yes or No
4) A sample of 48 observations is selected from a normal population. The sample mean is 22, and the population standard deviation is 6.
Conduct the following test of hypothesis using the .05 significance level.
H0 : μ ≤ 21
H1 : μ > 21
A)
Is this a one- or two-tailed test?
B)
What is the decision rule? (Round your answer to 2 decimal places.)
H0 and H1 when z >
C)
What is the value of the test statistic? (Round your answer to 2 decimal places.)
Value of the test statistic
D)
What is your decision regarding H0?
There is evidence to conclude that the population mean is greater than 21.
E)
What is the p-value? (Round your answer to 4 decimal places.)
5) Most air travelers now use e-tickets. Electronic ticketing allows passengers to not worry about a paper ticket, and it costs the airline companies less to handle than paper ticketing. However, in recent times the airlines have received complaints from passengers regarding their e-tickets, particularly when connecting flights and a change of airlines were involved. To investigate the problem an independent watchdog agency contacted a random sample of 20 airports and collected information on the number of complaints the airport had with e-tickets for the month of March. The information is reported below.
14
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12
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13
16
15
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12
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...
1. (2 points)Two random samples are selected from two indepe.docxSONU61709
1. (2 points)
Two random samples are selected from two independent pop-
ulations. A summary of the samples sizes, sample means, and
sample standard deviations is given below:
n1 = 37, x̄1 = 52.4, s1 = 5.8
n2 = 48, x̄2 = 75, s2 = 10
Find a 92.5% confidence interval for the difference µ1− µ2
of the means, assuming equal population variances.
Confidence Interval =
Answer(s) submitted:
•
(incorrect)
2. (2 points) In order to compare the means of two popu-
lations, independent random samples of 238 observations are
selected from each population, with the following results:
Sample 1 Sample 2
x1 = 1 x2 = 3
s1 = 120 s2 = 200
(a) Use a 97 % confidence interval to estimate the difference
between the population means (µ1−µ2).
≤ (µ1−µ2)≤
(b) Test the null hypothesis: H0 : (µ1− µ2) = 0 versus the al-
ternative hypothesis: Ha : (µ1− µ2) 6= 0. Using α = 0.03, give
the following:
(i) the test statistic z =
(ii) the positive critical z score
(iii) the negative critical z score
The final conclustion is
• A. We can reject the null hypothesis that (µ1−µ2) = 0
and accept that (µ1−µ2) 6= 0.
• B. There is not sufficient evidence to reject the null hy-
pothesis that (µ1−µ2) = 0.
(c) Test the null hypothesis: H0 : (µ1−µ2) = 26 versus the al-
ternative hypothesis: Ha : (µ1−µ2) 6= 26. Using α = 0.03, give
the following:
(i) the test statistic z =
(ii) the positive critical z score
(iii) the negative critical z score
The final conclustion is
• A. We can reject the null hypothesis that (µ1−µ2) = 26
and accept that (µ1−µ2) 6= 26.
• B. There is not sufficient evidence to reject the null hy-
pothesis that (µ1−µ2) = 26.
Answer(s) submitted:
•
•
•
•
•
•
•
•
•
•
(incorrect)
3. (2 points) Two independent samples have been selected,
70 observations from population 1 and 83 observations from
population 2. The sample means have been calculated to be
x1 = 14.9 and x2 = 10.5. From previous experience with these
populations, it is known that the variances are σ21 = 20 and
σ22 = 21.
(a) Find σ(x1−x2).
answer:
(b) Determine the rejection region for the test of H0 :
(µ1−µ2) = 2.92 and Ha : (µ1−µ2)> 2.92 Use α = 0.05.
z >
(c) Compute the test statistic.
z =
The final conclustion is
• A. We can reject the null hypothesis that (µ1− µ2) =
2.92 and accept that (µ1−µ2)> 2.92.
• B. There is not sufficient evidence to reject the null hy-
pothesis that (µ1−µ2) = 2.92.
(d) Construct a 95 % confidence interval for (µ1−µ2).
≤ (µ1−µ2)≤
Answer(s) submitted:
•
•
•
•
•
•
(incorrect)
4. (2 points) Randomly selected 100 student cars have ages
with a mean of 7.2 years and a standard deviation of 3.4 years,
while randomly selected 85 faculty cars have ages with a mean
of 5.4 years and a standard deviation of 3.3 years.
1
1. Use a 0.01 significance level to test the claim that student
cars are older than faculty cars.
The test statistic is
The critical value is
Is there sufficient evidence to support the claim that student
cars are older than faculty cars?
• A. Yes
• ...
Week 5 HomeworkHomework #1Ms. Lisa Monnin is the budget dire.docxmelbruce90096
Week 5 Homework
Homework #1
Ms. Lisa Monnin is the budget director for Nexus Media Inc. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample information.
Sales ($)
129
137
142
162
137
145
Audit ($)
128
98
128
140
148
110
132
At the 0.1 significance level, can she conclude that the mean daily expenses are greater for the sales staff than the audit staff?
(a)
State the decision rule. (Round your answer to 3 decimal places.)
Reject H0 if t >
(b)
Compute the pooled estimate of the population variance. (Round your answer to 2 decimal places.)
Pooled variance
(c)
Compute the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
(d)
State your decision about the null hypothesis.
H0 : μs ≤ μa
(e)
Estimate the p-value. (Round your answers to 3 decimal places.)
p-value
Homework #2
Suppose you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by models featuring Liz Claiborne attire with those of Calvin Klein. Assume the population standard deviations are not the same. The following is the amount ($000) earned per month by a sample of Claiborne models:
$5.4
$4.3
$3.7
$6.7
$4.9
$5.9
$3.1
$5.2
$4.7
$3.5
5.8
4
3.1
5.6
6.9
The following is the amount ($000) earned by a sample of Klein models.
$2.5
$2.6
$3.5
$3.4
$2.8
$3.1
$4
$2.5
$2
$2.9
2.7
2.3
(1)
Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.)
Degrees of freedom
(2)
State the decision rule for 0.01 significance level: H0: μLC ≤ μCK; H1: μLC > μCK. (Round your answer to 3 decimal places.)
Reject H0 if t>
(3)
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
(4)
Is it reasonable to conclude that Claiborne models earn more? Use the 0.01 significance level.
H0. It is to conclude that Claiborne models earn more.
Homework #3
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. The information is summarized below.
Statistic
Men
Women
Sample mean
23.82
21.38
Population standard deviation
5.91
4.87
Sample size
34
36
At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month?
(a)
Compute the value of the test statistic. (Round your answer to 2 decimal places.)
Value of the test statistic
(b)
What is your decision regarding on null hypothesis?
The decision is the null hypothesis that the means are the same.
(c)
What is the p-value? (Round your answer to 4 decimal places.)
p-value
rev: 04_04_2012, 04_25_2014_QC_48145
Homework #4
Suppose the manufacturer of Advil, a common headache remedy, recently developed a new formulation of the drug that is claimed to be more effective. To evaluate the new drug, a s.
InstructionDue Date 6 pm on October 28 (Wed)Part IProbability a.docxdirkrplav
InstructionDue Date: 6 pm on October 28 (Wed)
Part IProbability and Sampling Distributions1.Thinking about probability statements. Probability is measure of how likely an event is to occur. Match one of probabilities that follow with each statement of likelihood given (The probability is usually a more exact measure of likelihood than is the verbal statement.)Answer0 0.01 0.3 0.6 0.99 1(a) This event is impossible. It can never occur.(b) This event is certain. It will occur on every trial.(c) This event is very unlikely, but it will occur once in a while in a long sequence of trials.(d) This event will occur more often that not.2. Spill or Spell? Spell-checking software catches "nonword errors" that result in a string of letters that is not a word, as when "the" is typed as "the." When undergraduates are asked to write a 250-word essay (without spell-checking), the number X of nonword errors has the following distribution:Value of X01234Probability0.10.20.30.30.1(a) Check that this distribution satisfies the two requirements for a legitimate assignment of probabilities to individual outcomes.(b) Write the event "at least one nonword error" in term of X (for example, P(X >3)). What is the probability of this event?(c) Describe the event X ≤ 2 in words. What is its probability? 3. Discrete or continuous? For each exercise listed below, decide whether the random variable described is discrete or continuous and explains the sample space.(a) Choose a student in your class at random. Ask how much time that student spent studying during the past 24 hours.(b) In a test of a new package design, you drop a carton of a dozen eggs from a height of 1 foot and count the number of broken eggs.(c) A nutrition researcher feeds a new diet to a young male white rat. The response variable is the weight (in grams) that the rat gains in 8 weeks.4. Tossing Coins(a) The distribution of the count X of heads in a single coin toss will be as follows. Find the mean number of heads and the variance for a single coin toss.Number of Heads (Xi)01mean:Probability (Pi)0.50.5variance:(b) The distribution of the count X of heads in four tosses of a balanced coin was as follows but some missing probabilities. Fill in the blanks and then find the mean number of heads and the variance for the distribution with assumption that the tosses are independent of each other.Number of Heads (Xi)01234mean:Probability (Pi)0.06250.0625variance:(c) Show that the two results of the means (i.e. single toss and four tosses) are related by the addition rule for means. (d) Show that the two results of the variances (i.e. single toss and four tosses) are related by the addition rule for variances (note: It was assumed that the tosses are independent of each other). 5. Generating a sampling distribution. Let's illustrate the idea of a sampling distribution in the case of a very small sample from a very small .
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A sample of 37 observations is selected from a normal population. Th.docxrhetttrevannion
A sample of 37 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.
H
0
: μ ≤ 26
H
1
: μ > 26
a.
Is this a one- or two-tailed test?
H
0
,
when z > evidence to conclude that the population mean is greater than 26.
e.
What is the
p
-value?
(Round your answer to 4 decimal places.)
At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average $82 a day in tips.” Assume the population of daily tips is normally distributed with a standard deviation of $3.26. Over the first 44 days she was employed at the restaurant, the mean daily amount of her tips was $84.61. At the 0.02 significance level, can Ms. Brigden conclude that her daily tips average more than $82?
a.
State the null hypothesis and the alternate hypothesis.
H
0
. The mean number of calls is than 39 per week.
United Nations report shows the mean family income for Mexican migrants to the United States is $28,540 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 28 Mexican family units reveals a mean to be $34,120 with a sample standard deviation of $10,050. Does this information disagree with the United Nations report? Apply the 0.01 significance level.
a.
State the null hypothesis and the alternate hypothesis.
H
0
:
μ
=
. This data
the report.
The following information is available.
H
0
: μ ≥ 220
H
1
: μ < 220
A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level.
a.
Is this a one- or two-tailed test?
H
0
when
z
<
H
0
. There is evidence to conclude that the population mean is greater than 10
Given the following hypotheses:
H
0
: μ = 400
H
1
: μ ≠ 400
A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:
a.
State the decision rule.
(Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)
Reject
H
0
when the test statistic is the interval ([removed], [removed]).
b.
Compute the value of the test statistic.
(Round your answer to 3 decimal places.)
Value of the test statistic
[removed]
c.
What is your decision regarding the null hypothesis?
[removed]
Reject
[removed]
Do not reject
p
-value
[removed]
p
-value
[removed]
p
-value
[removed]
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ECO 365 Week 2 Individual Assignment Supply and Demand Simulation
COMM 21.
One. Clark Heter is an industrial engineer at Lyons Products. He .docxhopeaustin33688
One. Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift than on the day shift. A sample of 50 day-shift workers showed that the mean number of units produced was 353, with a population standard deviation of 25. A sample of 55 night-shift workers showed that the mean number of units produced was 363, with a population standard deviation of 31 units.
At the .01 significance level, is the number of units produced on the night shift larger?
(a)
This is a -tailed test.
(b)
The decision rule is to reject if Z < . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
(c)
The test statistic is Z = . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
TWO
Each month the National Association of Purchasing Managers publishes the NAPM index. One of the questions asked on the survey to purchasing agents is: Do you think the economy is contracting? Last month, of the 310 responses, 164 answered yes to the question. This month, 177 of the 291 responses indicated they felt the economy was contracting.
At the .02 significance level, can we conclude that a larger proportion of the agents believe the economy is contracting this month?
pc = . (Do not round the intermediate value. Round your answer to 2 decimal places.)
The test statistic is . (Negative amount should be indicated by a minus sign. Do not round the intermediate value. Round your answer to 2 decimal places.)
Decision: the null. H0 : π1 ≥ π2
THREE
The manufacturer of an MP3 player wanted to know whether a 10 percent reduction in price is enough to increase the sales of its product. To investigate, the owner randomly selected eight outlets and sold the MP3 player at the reduced price. At seven randomly selected outlets, the MP3 player was sold at the regular price. Reported below is the number of units sold last month at the sampled outlets.
Regular price
133
124
88
112
144
128
96
Reduced price
124
134
152
134
114
109
113
114
At the .050 significance level, can the manufacturer conclude that the price reduction resulted in an increase in sales? Hint: For the calculations, assume the Reduced price as the first sample.
The pooled variance is . (Round your answer to 2 decimal places.)
The test statistic is . (Round your answer to 2 decimal places.)
H0.
FOUR
One of the music industry's most pressing questions is: Can paid download stores contend nose-to-nose with free peer-to-peer download services? Data gathered over the last 12 months show Apple's iTunes was used by an average of 1.81 million households with a sample standard deviation of .47 million family units. Over the same 12 months WinMX (a no-cost P2P download service) was used by an average of 2.21 million families with a sample standard deviation of .32 million. Assume the population standard deviations are not the sam.
HW1_STAT206.pdfStatistical Inference II J. Lee Assignment.docxwilcockiris
HW1_STAT206.pdf
Statistical Inference II: J. Lee Assignment 1
Problem 1. Suppose the day after the Drexel-Northeastern basketball game, a poll of 1000 Drexel students
was conducted and it was determined that 850 out of the 1000 watched the game (live or on television).
Assume that this was a simple random sample and that the Drexel undergraduate population is 20000.
(a) Generate an unbiased estimate of the true proportion of Drexel undergraduate students who watched
the game.
(b) What is your estimated standard error for the proportion estimate in (a)?
(c) Give a 95% confidence interval for the true proportion of Drexel undergraduate students who watched
the game.
Problem 2. (Exercise 18 in Chapter 7 of Rice) From independent surveys of two populations, 90% con-
fidence intervals for the population means are conducted. What is the probability that neither interval
contains the respective population mean? That both do?
Problem 3. (Exercise 23 in Chapter 7 of Rice)
(a) Show that the standard error of an estimated proportion is largest when p = 1/2.
(b) Use this result and Corollary B of Section 7.3.2 (also, on Page 17 of the lecture notes) to conclude that
the quantity
1
2
√
N − n
N(n − 1)
is a conservative estimate of the standard error of p̂ no matter what the value of p may be.
(c) Use the central limit theorem to conclude that the interval
p̂ ±
√
N − n
N(n − 1)
contains p with probability at least .95.
HW2_STAT206.pdf
Statistical Inference II: J. Lee Assignment 2
Problem 1. The following data set represents the number of NBA games in January 2016, watched by 10
randomly selected student in STAT 206.
7, 0, 4, 2, 2, 1, 0, 1, 2, 3
(a) What is the sample mean?
(b) Calculate sample variance.
(c) Estimate the mean number of NBA games watched by a student in January 2016.
(d) Estimate the standard error of the estimated mean.
Problem 2. True or false? Tell me why for the false statements.
(a) The center of a 95% confidence interval for the population mean is a random variable.
(b) A 95% confidence interval for µ contains the sample mean with probability .95.
(c) A 95% confidence interval contains 95% of the population.
(d) Out of one hundred 95% confidence intervals for µ, 95 will contain µ.
Problem 3. An investigator quantifies her uncertainty about the estimate of a population mean by reporting
X ± sX . What size confidence interval is?
Problem 4. For a random sample of size n from a population of size N, consider the following as an
estimate of µ:
Xc =
n∑
i=1
ciXi,
where the ci are fixed numbers and X1, . . . ,Xn are the sample. Find a condition on the ci such that the
estimate is unbiased.
Problem 5. A sample of size 100 has the sample mean X = 10. Suppose the we know that the population
standard deviation σ = 5. Find a 95% confidence interval for the population mean µ.
Problem 6. Suppose the we know that the population standard deviation σ = 5. Then how large should a
sample be to estimate the popula.
1. A law firm wants to determine the trend in its annual billings .docxmonicafrancis71118
1. A law firm wants to determine the trend in its annual billings so that it can better forecast revenues. It plots the data on its billings for the past 10 years and finds that the scatter plot appears to be linear. What formula should they use to determine the trend line?
σ = ∑√(x - μ)2 ÷ N
F = s12 ÷ s22
t = (x̄ - μx-bar) ÷ s/√n
Tt = b0 + b1t
3 points
QUESTION 2
1. A set of subjects, usually randomly sampled, selected to participate in a research study is called:
Population
Sample
Mode group
Partial selection
3 points
QUESTION 3
1. If a researcher accepts a null hypothesis when that hypothesis is actually true, she has committed:
a type I error
a type II error
no error
a causation
3 points
QUESTION 4
1. A binomial probability distribution is a discrete distribution (i.e., the x-variable is discrete).
True
False
3 points
QUESTION 5
1. The tdistribution is wider and flatter (i.e., has more variation) than the normal distribution.
True
False
3 points
QUESTION 6
1. A physician wants to estimate the average amount of time that patients spend in his waiting room. He asks his receptionist to record the waiting times for 28 of his patients and finds that the sample mean (x̄) is 37 minutes and the sample standard deviation (s) is 12 minutes. What formula would you use to construct the 95% confidence interval for the population mean of waiting times?
t = (x̄ - μx-bar) ÷ s/√n
µ = ∑ x ÷ N
x̄ - t(s ÷ √n) < µ < x̄ + t(s ÷ √n)
z = (x - µ) ÷ σ
3 points
QUESTION 7
1. When the alternative hypothesis states that the difference between two groups can only be in one direction, we call this a:
One-tailed test
Bi-directional test
Two-tailed test
Non-parametric test
3 points
QUESTION 8
1. For any probability distribution, the probability of any x-value occurring within any given range is equal to the area under the distribution and above that range.
True
False
3 points
QUESTION 9
1. The formula for ____________ is (Row total X Column total)/T
Observed frequencies
Degrees of freedom
Expected frequencies
Sampling error
3 points
QUESTION 10
1. State Senator Hanna Rowe has ordered an investigation of the large number of boating accidents that have occurred in the state in recent summers. Acting on her instructions, her aide, Geoff Spencer, has randomly selected 9 summer months within the last few years and has compiled data on the number of boating accidents that occurred during each of these months. The mean number of boating accidents to occur in these 9 months was 31 (x̄), and the standard deviation (s) in this sample was 9 boating accidents per month. Geoff was told to construct a 90% confidence interval for the true mean number of boating accidents per month. What formula should Geoff use?
x̄ - t(s ÷ √n) < µ < x̄ + t(s ÷ √n)
F = s12 ÷ s22
z = (x - µ) ÷ σ
x̄ - z(σ ÷ √n) < µ < x̄ + z(σ ÷ √n)
.
Policy Research PaperResearch and write a 5 page academic .docxLeilaniPoolsy
Policy Research Paper
Research and write a 5 page academic research paper on one of the following policy related topics. Your research paper should fully address your chosen topic and be suitable for use as a policy brief distributed to an executive audience whose members are meeting to discuss IT Governance issues and policy needs within their respective organizations.
Your paper must present a summary of your research, discuss the applicability to IT governance, present a discussion of five or more policy issues related to the topic, and provide compelling reasons as to why busy executives should become more informed about these issues.
Your summary for the paper must address the question: How can this information be used to improve policy implementation? The summary should include five or more recommendations which you developed from your research.Preapproved Topics
· Assessment and Authorization Requirements for IT Systems
· Audit Requirements for Finance Systems (Sarbanes-Oxley, GLBA Compliance)
· Change Management (Configuration Control) for information systems and infrastructures.
· Implementing the NIST Risk Management Framework
· Information Security Metrics and Measurements (Audits and/or Governance)
· Information Sharing for Threats, Warnings, and Indicators (legal ramifications)
· Mobile Application Security
· Product Liability for Cybersecurity Products and Services
Requirements:
1. Your paper must be based upon 5 or more authoritative sources obtained from peer reviewed journals, published dissertations and theses, reports from public policy research organizations (e.g. Brookings, CSIS, PEW, etc.) or published government documents (not including Web pages). These authoritative sources must have been published within the last ten years.
2. You must submit your paper to Turn It In for originality checking. You must ensure that you have properly paraphrased and cited information obtained from your authoritative sources. Do not construct your paper by gluing together quotations.
3. Your paper must meet the APA formatting requirements as shown in the sample papers provided in the LEO classroom.
.
POL 101 – Political Science Portfolio Projec.docxLeilaniPoolsy
POL
101
–
Political
Science
Portfolio
Project
Portfolio
Project:
Country
Selection
&
The
Political
Environment
By
now
you
should
have
decided
on
a
country
for
your
Portfolio
Project.
Indicate
your
choice
in
the
Discussion
forum
called
“Country
Reports”.
As
you
read
the
material
in
this
week’s
module,
can
you
identify
any
philosophers
who
might
have
influenced
the
political
environment
in
your
country?
Include
this
information
in
your
Portfolio
Project.
The
underdeveloped
country
that
i
have
chosen
for
my
portfolio
project
is
Cambodia.
I
have
always
wanted
to
go
to
Cambodia
however
I
know
very
little
about
it.
Recently
I
came
across
this
documentary
that
covers
the
bombing
of
Cambodia
during
the
Vietnam
War
by
President
Nixon
and
Mr.
Kissinger.
http://vimeo.com/17634265
Cambodia
has
a
list
of
troubling
issues
such
as
human
rights,
prostitution,
child
prostitution,
human
trafficking,
corupt
government,
and
illegal
stripping
of
the
countries
natural
resources.
I
will
be
covering
these
issues
and
many
more
in
my
report.
http://vimeo.com/properniceinnit/cambodia
http://vimeo.com/thepinkroom/trailer
http://youtu.be/Ko7pggrFq4U
Portfolio
Project:
Supporting
Media
In
Week
2,
you
decided
on
a
country
for
your
Portfolio
Project.
Now,
in
Week
3,
find
a
film
or
URL
of
a
website
about
your
country
which
you
will
review
in
Week
4.
Paste
the
URL
or
film
title
in
the
Week
3
Discussion
forum
called
Supporting
Media.
As
you
read
the
material
in
this
week’s
module,
can
you
identify
any
philosophers
who
might
have
influenced
the
political
environment
in
your
country?
Include
this
information
in
your
Portfolio
Project.
The
official
tourism
site
of
Cambodia
is
found
at:
http://www.tourismcambodia.com
I
will
be
using
this
site
and
others
as
my
source
of
information
for
my
project.
chris
Callout
Entire Portfolio Project is Due
26 March 2014.
chris
Text Box
RED = MY RESPONSES TO INSTRUCTOR
By
now
you
should
be
examining
the
type
of
political
system
in
operation
in
your
selected
country.
As
part
of
your .
POL 123 – Case Analysis 5 Fact Patterns Write an analysis for .docxLeilaniPoolsy
POL 123 – Case Analysis 5 Fact Patterns
Write an analysis for each scenario below. See the Case Analysis Instructions for further information about completing the assignment.
1. Jonas is 18 and recently finished high school. He lives at home with his mom and dad. While collecting dirty laundry in his room one day, Jonas’ mother discovered some of Jonas’ clothing with dried blood on them. She also found a bloody survival knife and muddy boots under his bed, as well as a bracelet that said “Lynn.” A few days earlier, police had discovered the missing body of Jonas’ high school sweetheart, Lynn, in the woods. Lynn had recently broken up with him. The medical examiner had determined that Lynn had died from repeated stabbing. When Jonas had been questioned by the police at the station, he claimed he knew nothing of the incident, and the police have no evidence tying Jonas to the disappearance or murder. Analyze these facts using ethical concepts or concerns from Module 8. (You are not evaluating elements of murder, or due process issues for example.)
2. District Attorney Schultz has brought charges against three players of the University football team. They have been charged with raping a stripper at a party attended by team members. The case has received much publicity and the media have discovered that the three players have a history of violence towards women. (Last year, two other women claimed they had been raped, but the cell phone video showing the forced sex had been excluded based on an illegal police search, and the players were found "not guilty.”) Shultz believes these players are guilty, and has given approximately 60 media interviews on the case. Schultz has also been campaigning for reelection, and a conviction here would go a long way. Unfortunately for Schultz, the DNA tests he ran do not match any of the three players to the victim’s assault. When he questioned her about this, the victim made contradictory statements, and she had no other evidence to corroborate the events. In fact, while her statements confirm that they raped her, she admitted to having consensual sex with two other men at the party, which weakens the case. Schultz decides to not tell anyone about the DNA results unless asked, and instructs the victim/witness to deny the other sexual encounters at trial. Analyze these facts using ethical concepts or concerns from Module 8. (You are not evaluating elements of rape or due process issues for example.) Assuming that Schultz had a strong belief that the defendants were guilty, include in your analysis whether this affects the moral and legal permissibility of his conduct.
3. Michelle worked two jobs as a security guard in Phoenix, Arizona. She was walking outside the building where she works at 6:30 AM, Monday, when two bundles of money fell out of an armored truck en route to a bank. Inside the bundles was approximately $500,000. Michelle had an inheritance that would post to her bank account on Wednesday. She .
Polk Company builds custom fishing lures for sporting goods stores.docxLeilaniPoolsy
Polk Company builds custom fishing lures for sporting goods stores. In its first year of operations, 2012, the company incurred the following costs.
Variable Cost per Unit
Direct materials
$7.95
Direct labor
$2.60
Variable manufacturing overhead
$6.10
Variable selling and administrative expenses
$4.13
Fixed Costs per Year
Fixed manufacturing overhead
$249,424
Fixed selling and administrative expenses
$254,506
Polk Company sells the fishing lures for $26.50. During 2012, the company sold 80,300 lures and produced 95,200 lures.
Assuming the company uses variable costing, calculate Polk’s manufacturing cost per unit for 2012. (Round answer to 2 decimal places, e.g.10.50.)
Manufacturing cost per unit
$
Prepare a variable costing income statement for 2012.
POLK COMPANY
Income Statement
For the Year Ended December 31, 2012
Variable Costing
$
$
$
(2)
For Turgo Company, variable costs are 63% of sales, and fixed costs are $179,100. Management’s net income goal is $54,074.
Compute the required sales in dollars needed to achieve management’s target net income of $54,074.
Required sales
$
(3)
For Kozy Company, actual sales are $1,208,000 and break-even sales are $785,200.
Compute the margin of safety in dollars and the margin of safety ratio.
Margin of safety
$
Margin of safety ratio
%
(6)
For the quarter ended March 31, 2012, Maris Company accumulates the following sales data for its product, Garden-Tools: $318,000 budget; $335,300 actual.
Prepare a static budget report for the quarter.
MARIS COMPANY
Sales Budget Report
For the Quarter Ended March 31, 2012
Product Line
Budget
Actual
Difference
Garden-Tools
$
$
$
(7)
Gundy Company expects to produce 1,301,760 units of Product XX in 2012. Monthly production is expected to range from 86,150 to 123,950 units. Budgeted variable manufacturing costs per unit are: direct materials $3, direct labor $8, and overhead $10. Budgeted fixed manufacturing costs per unit for depreciation are $6 and for supervision are $2.
Prepare a flexible manufacturing budget for the relevant range value using 18,900 unit increments. (List variable costs before fixed costs.)
GUNDY COMPANY
Monthly Flexible Manufacturing Budget
For the Year 2012
$
$
$
$
$
$
$
$
$
.
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B) The 99 percent confidence interval for the population mean is between _______and ________
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H1 : μ > 21
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B)
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1. (2 points)Two random samples are selected from two indepe.docxSONU61709
1. (2 points)
Two random samples are selected from two independent pop-
ulations. A summary of the samples sizes, sample means, and
sample standard deviations is given below:
n1 = 37, x̄1 = 52.4, s1 = 5.8
n2 = 48, x̄2 = 75, s2 = 10
Find a 92.5% confidence interval for the difference µ1− µ2
of the means, assuming equal population variances.
Confidence Interval =
Answer(s) submitted:
•
(incorrect)
2. (2 points) In order to compare the means of two popu-
lations, independent random samples of 238 observations are
selected from each population, with the following results:
Sample 1 Sample 2
x1 = 1 x2 = 3
s1 = 120 s2 = 200
(a) Use a 97 % confidence interval to estimate the difference
between the population means (µ1−µ2).
≤ (µ1−µ2)≤
(b) Test the null hypothesis: H0 : (µ1− µ2) = 0 versus the al-
ternative hypothesis: Ha : (µ1− µ2) 6= 0. Using α = 0.03, give
the following:
(i) the test statistic z =
(ii) the positive critical z score
(iii) the negative critical z score
The final conclustion is
• A. We can reject the null hypothesis that (µ1−µ2) = 0
and accept that (µ1−µ2) 6= 0.
• B. There is not sufficient evidence to reject the null hy-
pothesis that (µ1−µ2) = 0.
(c) Test the null hypothesis: H0 : (µ1−µ2) = 26 versus the al-
ternative hypothesis: Ha : (µ1−µ2) 6= 26. Using α = 0.03, give
the following:
(i) the test statistic z =
(ii) the positive critical z score
(iii) the negative critical z score
The final conclustion is
• A. We can reject the null hypothesis that (µ1−µ2) = 26
and accept that (µ1−µ2) 6= 26.
• B. There is not sufficient evidence to reject the null hy-
pothesis that (µ1−µ2) = 26.
Answer(s) submitted:
•
•
•
•
•
•
•
•
•
•
(incorrect)
3. (2 points) Two independent samples have been selected,
70 observations from population 1 and 83 observations from
population 2. The sample means have been calculated to be
x1 = 14.9 and x2 = 10.5. From previous experience with these
populations, it is known that the variances are σ21 = 20 and
σ22 = 21.
(a) Find σ(x1−x2).
answer:
(b) Determine the rejection region for the test of H0 :
(µ1−µ2) = 2.92 and Ha : (µ1−µ2)> 2.92 Use α = 0.05.
z >
(c) Compute the test statistic.
z =
The final conclustion is
• A. We can reject the null hypothesis that (µ1− µ2) =
2.92 and accept that (µ1−µ2)> 2.92.
• B. There is not sufficient evidence to reject the null hy-
pothesis that (µ1−µ2) = 2.92.
(d) Construct a 95 % confidence interval for (µ1−µ2).
≤ (µ1−µ2)≤
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•
•
•
•
•
•
(incorrect)
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1
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Week 5 HomeworkHomework #1Ms. Lisa Monnin is the budget dire.docxmelbruce90096
Week 5 Homework
Homework #1
Ms. Lisa Monnin is the budget director for Nexus Media Inc. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample information.
Sales ($)
129
137
142
162
137
145
Audit ($)
128
98
128
140
148
110
132
At the 0.1 significance level, can she conclude that the mean daily expenses are greater for the sales staff than the audit staff?
(a)
State the decision rule. (Round your answer to 3 decimal places.)
Reject H0 if t >
(b)
Compute the pooled estimate of the population variance. (Round your answer to 2 decimal places.)
Pooled variance
(c)
Compute the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
(d)
State your decision about the null hypothesis.
H0 : μs ≤ μa
(e)
Estimate the p-value. (Round your answers to 3 decimal places.)
p-value
Homework #2
Suppose you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by models featuring Liz Claiborne attire with those of Calvin Klein. Assume the population standard deviations are not the same. The following is the amount ($000) earned per month by a sample of Claiborne models:
$5.4
$4.3
$3.7
$6.7
$4.9
$5.9
$3.1
$5.2
$4.7
$3.5
5.8
4
3.1
5.6
6.9
The following is the amount ($000) earned by a sample of Klein models.
$2.5
$2.6
$3.5
$3.4
$2.8
$3.1
$4
$2.5
$2
$2.9
2.7
2.3
(1)
Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.)
Degrees of freedom
(2)
State the decision rule for 0.01 significance level: H0: μLC ≤ μCK; H1: μLC > μCK. (Round your answer to 3 decimal places.)
Reject H0 if t>
(3)
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
(4)
Is it reasonable to conclude that Claiborne models earn more? Use the 0.01 significance level.
H0. It is to conclude that Claiborne models earn more.
Homework #3
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. The information is summarized below.
Statistic
Men
Women
Sample mean
23.82
21.38
Population standard deviation
5.91
4.87
Sample size
34
36
At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month?
(a)
Compute the value of the test statistic. (Round your answer to 2 decimal places.)
Value of the test statistic
(b)
What is your decision regarding on null hypothesis?
The decision is the null hypothesis that the means are the same.
(c)
What is the p-value? (Round your answer to 4 decimal places.)
p-value
rev: 04_04_2012, 04_25_2014_QC_48145
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Suppose the manufacturer of Advil, a common headache remedy, recently developed a new formulation of the drug that is claimed to be more effective. To evaluate the new drug, a s.
InstructionDue Date 6 pm on October 28 (Wed)Part IProbability a.docxdirkrplav
InstructionDue Date: 6 pm on October 28 (Wed)
Part IProbability and Sampling Distributions1.Thinking about probability statements. Probability is measure of how likely an event is to occur. Match one of probabilities that follow with each statement of likelihood given (The probability is usually a more exact measure of likelihood than is the verbal statement.)Answer0 0.01 0.3 0.6 0.99 1(a) This event is impossible. It can never occur.(b) This event is certain. It will occur on every trial.(c) This event is very unlikely, but it will occur once in a while in a long sequence of trials.(d) This event will occur more often that not.2. Spill or Spell? Spell-checking software catches "nonword errors" that result in a string of letters that is not a word, as when "the" is typed as "the." When undergraduates are asked to write a 250-word essay (without spell-checking), the number X of nonword errors has the following distribution:Value of X01234Probability0.10.20.30.30.1(a) Check that this distribution satisfies the two requirements for a legitimate assignment of probabilities to individual outcomes.(b) Write the event "at least one nonword error" in term of X (for example, P(X >3)). What is the probability of this event?(c) Describe the event X ≤ 2 in words. What is its probability? 3. Discrete or continuous? For each exercise listed below, decide whether the random variable described is discrete or continuous and explains the sample space.(a) Choose a student in your class at random. Ask how much time that student spent studying during the past 24 hours.(b) In a test of a new package design, you drop a carton of a dozen eggs from a height of 1 foot and count the number of broken eggs.(c) A nutrition researcher feeds a new diet to a young male white rat. The response variable is the weight (in grams) that the rat gains in 8 weeks.4. Tossing Coins(a) The distribution of the count X of heads in a single coin toss will be as follows. Find the mean number of heads and the variance for a single coin toss.Number of Heads (Xi)01mean:Probability (Pi)0.50.5variance:(b) The distribution of the count X of heads in four tosses of a balanced coin was as follows but some missing probabilities. Fill in the blanks and then find the mean number of heads and the variance for the distribution with assumption that the tosses are independent of each other.Number of Heads (Xi)01234mean:Probability (Pi)0.06250.0625variance:(c) Show that the two results of the means (i.e. single toss and four tosses) are related by the addition rule for means. (d) Show that the two results of the variances (i.e. single toss and four tosses) are related by the addition rule for variances (note: It was assumed that the tosses are independent of each other). 5. Generating a sampling distribution. Let's illustrate the idea of a sampling distribution in the case of a very small sample from a very small .
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A sample of 37 observations is selected from a normal population. Th.docxrhetttrevannion
A sample of 37 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.
H
0
: μ ≤ 26
H
1
: μ > 26
a.
Is this a one- or two-tailed test?
H
0
,
when z > evidence to conclude that the population mean is greater than 26.
e.
What is the
p
-value?
(Round your answer to 4 decimal places.)
At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average $82 a day in tips.” Assume the population of daily tips is normally distributed with a standard deviation of $3.26. Over the first 44 days she was employed at the restaurant, the mean daily amount of her tips was $84.61. At the 0.02 significance level, can Ms. Brigden conclude that her daily tips average more than $82?
a.
State the null hypothesis and the alternate hypothesis.
H
0
. The mean number of calls is than 39 per week.
United Nations report shows the mean family income for Mexican migrants to the United States is $28,540 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 28 Mexican family units reveals a mean to be $34,120 with a sample standard deviation of $10,050. Does this information disagree with the United Nations report? Apply the 0.01 significance level.
a.
State the null hypothesis and the alternate hypothesis.
H
0
:
μ
=
. This data
the report.
The following information is available.
H
0
: μ ≥ 220
H
1
: μ < 220
A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level.
a.
Is this a one- or two-tailed test?
H
0
when
z
<
H
0
. There is evidence to conclude that the population mean is greater than 10
Given the following hypotheses:
H
0
: μ = 400
H
1
: μ ≠ 400
A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:
a.
State the decision rule.
(Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)
Reject
H
0
when the test statistic is the interval ([removed], [removed]).
b.
Compute the value of the test statistic.
(Round your answer to 3 decimal places.)
Value of the test statistic
[removed]
c.
What is your decision regarding the null hypothesis?
[removed]
Reject
[removed]
Do not reject
p
-value
[removed]
p
-value
[removed]
p
-value
[removed]
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ECO 365 Week 2 Individual Assignment Supply and Demand Simulation
COMM 21.
One. Clark Heter is an industrial engineer at Lyons Products. He .docxhopeaustin33688
One. Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift than on the day shift. A sample of 50 day-shift workers showed that the mean number of units produced was 353, with a population standard deviation of 25. A sample of 55 night-shift workers showed that the mean number of units produced was 363, with a population standard deviation of 31 units.
At the .01 significance level, is the number of units produced on the night shift larger?
(a)
This is a -tailed test.
(b)
The decision rule is to reject if Z < . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
(c)
The test statistic is Z = . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
TWO
Each month the National Association of Purchasing Managers publishes the NAPM index. One of the questions asked on the survey to purchasing agents is: Do you think the economy is contracting? Last month, of the 310 responses, 164 answered yes to the question. This month, 177 of the 291 responses indicated they felt the economy was contracting.
At the .02 significance level, can we conclude that a larger proportion of the agents believe the economy is contracting this month?
pc = . (Do not round the intermediate value. Round your answer to 2 decimal places.)
The test statistic is . (Negative amount should be indicated by a minus sign. Do not round the intermediate value. Round your answer to 2 decimal places.)
Decision: the null. H0 : π1 ≥ π2
THREE
The manufacturer of an MP3 player wanted to know whether a 10 percent reduction in price is enough to increase the sales of its product. To investigate, the owner randomly selected eight outlets and sold the MP3 player at the reduced price. At seven randomly selected outlets, the MP3 player was sold at the regular price. Reported below is the number of units sold last month at the sampled outlets.
Regular price
133
124
88
112
144
128
96
Reduced price
124
134
152
134
114
109
113
114
At the .050 significance level, can the manufacturer conclude that the price reduction resulted in an increase in sales? Hint: For the calculations, assume the Reduced price as the first sample.
The pooled variance is . (Round your answer to 2 decimal places.)
The test statistic is . (Round your answer to 2 decimal places.)
H0.
FOUR
One of the music industry's most pressing questions is: Can paid download stores contend nose-to-nose with free peer-to-peer download services? Data gathered over the last 12 months show Apple's iTunes was used by an average of 1.81 million households with a sample standard deviation of .47 million family units. Over the same 12 months WinMX (a no-cost P2P download service) was used by an average of 2.21 million families with a sample standard deviation of .32 million. Assume the population standard deviations are not the sam.
HW1_STAT206.pdfStatistical Inference II J. Lee Assignment.docxwilcockiris
HW1_STAT206.pdf
Statistical Inference II: J. Lee Assignment 1
Problem 1. Suppose the day after the Drexel-Northeastern basketball game, a poll of 1000 Drexel students
was conducted and it was determined that 850 out of the 1000 watched the game (live or on television).
Assume that this was a simple random sample and that the Drexel undergraduate population is 20000.
(a) Generate an unbiased estimate of the true proportion of Drexel undergraduate students who watched
the game.
(b) What is your estimated standard error for the proportion estimate in (a)?
(c) Give a 95% confidence interval for the true proportion of Drexel undergraduate students who watched
the game.
Problem 2. (Exercise 18 in Chapter 7 of Rice) From independent surveys of two populations, 90% con-
fidence intervals for the population means are conducted. What is the probability that neither interval
contains the respective population mean? That both do?
Problem 3. (Exercise 23 in Chapter 7 of Rice)
(a) Show that the standard error of an estimated proportion is largest when p = 1/2.
(b) Use this result and Corollary B of Section 7.3.2 (also, on Page 17 of the lecture notes) to conclude that
the quantity
1
2
√
N − n
N(n − 1)
is a conservative estimate of the standard error of p̂ no matter what the value of p may be.
(c) Use the central limit theorem to conclude that the interval
p̂ ±
√
N − n
N(n − 1)
contains p with probability at least .95.
HW2_STAT206.pdf
Statistical Inference II: J. Lee Assignment 2
Problem 1. The following data set represents the number of NBA games in January 2016, watched by 10
randomly selected student in STAT 206.
7, 0, 4, 2, 2, 1, 0, 1, 2, 3
(a) What is the sample mean?
(b) Calculate sample variance.
(c) Estimate the mean number of NBA games watched by a student in January 2016.
(d) Estimate the standard error of the estimated mean.
Problem 2. True or false? Tell me why for the false statements.
(a) The center of a 95% confidence interval for the population mean is a random variable.
(b) A 95% confidence interval for µ contains the sample mean with probability .95.
(c) A 95% confidence interval contains 95% of the population.
(d) Out of one hundred 95% confidence intervals for µ, 95 will contain µ.
Problem 3. An investigator quantifies her uncertainty about the estimate of a population mean by reporting
X ± sX . What size confidence interval is?
Problem 4. For a random sample of size n from a population of size N, consider the following as an
estimate of µ:
Xc =
n∑
i=1
ciXi,
where the ci are fixed numbers and X1, . . . ,Xn are the sample. Find a condition on the ci such that the
estimate is unbiased.
Problem 5. A sample of size 100 has the sample mean X = 10. Suppose the we know that the population
standard deviation σ = 5. Find a 95% confidence interval for the population mean µ.
Problem 6. Suppose the we know that the population standard deviation σ = 5. Then how large should a
sample be to estimate the popula.
1. A law firm wants to determine the trend in its annual billings .docxmonicafrancis71118
1. A law firm wants to determine the trend in its annual billings so that it can better forecast revenues. It plots the data on its billings for the past 10 years and finds that the scatter plot appears to be linear. What formula should they use to determine the trend line?
σ = ∑√(x - μ)2 ÷ N
F = s12 ÷ s22
t = (x̄ - μx-bar) ÷ s/√n
Tt = b0 + b1t
3 points
QUESTION 2
1. A set of subjects, usually randomly sampled, selected to participate in a research study is called:
Population
Sample
Mode group
Partial selection
3 points
QUESTION 3
1. If a researcher accepts a null hypothesis when that hypothesis is actually true, she has committed:
a type I error
a type II error
no error
a causation
3 points
QUESTION 4
1. A binomial probability distribution is a discrete distribution (i.e., the x-variable is discrete).
True
False
3 points
QUESTION 5
1. The tdistribution is wider and flatter (i.e., has more variation) than the normal distribution.
True
False
3 points
QUESTION 6
1. A physician wants to estimate the average amount of time that patients spend in his waiting room. He asks his receptionist to record the waiting times for 28 of his patients and finds that the sample mean (x̄) is 37 minutes and the sample standard deviation (s) is 12 minutes. What formula would you use to construct the 95% confidence interval for the population mean of waiting times?
t = (x̄ - μx-bar) ÷ s/√n
µ = ∑ x ÷ N
x̄ - t(s ÷ √n) < µ < x̄ + t(s ÷ √n)
z = (x - µ) ÷ σ
3 points
QUESTION 7
1. When the alternative hypothesis states that the difference between two groups can only be in one direction, we call this a:
One-tailed test
Bi-directional test
Two-tailed test
Non-parametric test
3 points
QUESTION 8
1. For any probability distribution, the probability of any x-value occurring within any given range is equal to the area under the distribution and above that range.
True
False
3 points
QUESTION 9
1. The formula for ____________ is (Row total X Column total)/T
Observed frequencies
Degrees of freedom
Expected frequencies
Sampling error
3 points
QUESTION 10
1. State Senator Hanna Rowe has ordered an investigation of the large number of boating accidents that have occurred in the state in recent summers. Acting on her instructions, her aide, Geoff Spencer, has randomly selected 9 summer months within the last few years and has compiled data on the number of boating accidents that occurred during each of these months. The mean number of boating accidents to occur in these 9 months was 31 (x̄), and the standard deviation (s) in this sample was 9 boating accidents per month. Geoff was told to construct a 90% confidence interval for the true mean number of boating accidents per month. What formula should Geoff use?
x̄ - t(s ÷ √n) < µ < x̄ + t(s ÷ √n)
F = s12 ÷ s22
z = (x - µ) ÷ σ
x̄ - z(σ ÷ √n) < µ < x̄ + z(σ ÷ √n)
.
Similar to Please put answers below the boxes1) A politician claims that .docx (17)
Policy Research PaperResearch and write a 5 page academic .docxLeilaniPoolsy
Policy Research Paper
Research and write a 5 page academic research paper on one of the following policy related topics. Your research paper should fully address your chosen topic and be suitable for use as a policy brief distributed to an executive audience whose members are meeting to discuss IT Governance issues and policy needs within their respective organizations.
Your paper must present a summary of your research, discuss the applicability to IT governance, present a discussion of five or more policy issues related to the topic, and provide compelling reasons as to why busy executives should become more informed about these issues.
Your summary for the paper must address the question: How can this information be used to improve policy implementation? The summary should include five or more recommendations which you developed from your research.Preapproved Topics
· Assessment and Authorization Requirements for IT Systems
· Audit Requirements for Finance Systems (Sarbanes-Oxley, GLBA Compliance)
· Change Management (Configuration Control) for information systems and infrastructures.
· Implementing the NIST Risk Management Framework
· Information Security Metrics and Measurements (Audits and/or Governance)
· Information Sharing for Threats, Warnings, and Indicators (legal ramifications)
· Mobile Application Security
· Product Liability for Cybersecurity Products and Services
Requirements:
1. Your paper must be based upon 5 or more authoritative sources obtained from peer reviewed journals, published dissertations and theses, reports from public policy research organizations (e.g. Brookings, CSIS, PEW, etc.) or published government documents (not including Web pages). These authoritative sources must have been published within the last ten years.
2. You must submit your paper to Turn It In for originality checking. You must ensure that you have properly paraphrased and cited information obtained from your authoritative sources. Do not construct your paper by gluing together quotations.
3. Your paper must meet the APA formatting requirements as shown in the sample papers provided in the LEO classroom.
.
POL 101 – Political Science Portfolio Projec.docxLeilaniPoolsy
POL
101
–
Political
Science
Portfolio
Project
Portfolio
Project:
Country
Selection
&
The
Political
Environment
By
now
you
should
have
decided
on
a
country
for
your
Portfolio
Project.
Indicate
your
choice
in
the
Discussion
forum
called
“Country
Reports”.
As
you
read
the
material
in
this
week’s
module,
can
you
identify
any
philosophers
who
might
have
influenced
the
political
environment
in
your
country?
Include
this
information
in
your
Portfolio
Project.
The
underdeveloped
country
that
i
have
chosen
for
my
portfolio
project
is
Cambodia.
I
have
always
wanted
to
go
to
Cambodia
however
I
know
very
little
about
it.
Recently
I
came
across
this
documentary
that
covers
the
bombing
of
Cambodia
during
the
Vietnam
War
by
President
Nixon
and
Mr.
Kissinger.
http://vimeo.com/17634265
Cambodia
has
a
list
of
troubling
issues
such
as
human
rights,
prostitution,
child
prostitution,
human
trafficking,
corupt
government,
and
illegal
stripping
of
the
countries
natural
resources.
I
will
be
covering
these
issues
and
many
more
in
my
report.
http://vimeo.com/properniceinnit/cambodia
http://vimeo.com/thepinkroom/trailer
http://youtu.be/Ko7pggrFq4U
Portfolio
Project:
Supporting
Media
In
Week
2,
you
decided
on
a
country
for
your
Portfolio
Project.
Now,
in
Week
3,
find
a
film
or
URL
of
a
website
about
your
country
which
you
will
review
in
Week
4.
Paste
the
URL
or
film
title
in
the
Week
3
Discussion
forum
called
Supporting
Media.
As
you
read
the
material
in
this
week’s
module,
can
you
identify
any
philosophers
who
might
have
influenced
the
political
environment
in
your
country?
Include
this
information
in
your
Portfolio
Project.
The
official
tourism
site
of
Cambodia
is
found
at:
http://www.tourismcambodia.com
I
will
be
using
this
site
and
others
as
my
source
of
information
for
my
project.
chris
Callout
Entire Portfolio Project is Due
26 March 2014.
chris
Text Box
RED = MY RESPONSES TO INSTRUCTOR
By
now
you
should
be
examining
the
type
of
political
system
in
operation
in
your
selected
country.
As
part
of
your .
POL 123 – Case Analysis 5 Fact Patterns Write an analysis for .docxLeilaniPoolsy
POL 123 – Case Analysis 5 Fact Patterns
Write an analysis for each scenario below. See the Case Analysis Instructions for further information about completing the assignment.
1. Jonas is 18 and recently finished high school. He lives at home with his mom and dad. While collecting dirty laundry in his room one day, Jonas’ mother discovered some of Jonas’ clothing with dried blood on them. She also found a bloody survival knife and muddy boots under his bed, as well as a bracelet that said “Lynn.” A few days earlier, police had discovered the missing body of Jonas’ high school sweetheart, Lynn, in the woods. Lynn had recently broken up with him. The medical examiner had determined that Lynn had died from repeated stabbing. When Jonas had been questioned by the police at the station, he claimed he knew nothing of the incident, and the police have no evidence tying Jonas to the disappearance or murder. Analyze these facts using ethical concepts or concerns from Module 8. (You are not evaluating elements of murder, or due process issues for example.)
2. District Attorney Schultz has brought charges against three players of the University football team. They have been charged with raping a stripper at a party attended by team members. The case has received much publicity and the media have discovered that the three players have a history of violence towards women. (Last year, two other women claimed they had been raped, but the cell phone video showing the forced sex had been excluded based on an illegal police search, and the players were found "not guilty.”) Shultz believes these players are guilty, and has given approximately 60 media interviews on the case. Schultz has also been campaigning for reelection, and a conviction here would go a long way. Unfortunately for Schultz, the DNA tests he ran do not match any of the three players to the victim’s assault. When he questioned her about this, the victim made contradictory statements, and she had no other evidence to corroborate the events. In fact, while her statements confirm that they raped her, she admitted to having consensual sex with two other men at the party, which weakens the case. Schultz decides to not tell anyone about the DNA results unless asked, and instructs the victim/witness to deny the other sexual encounters at trial. Analyze these facts using ethical concepts or concerns from Module 8. (You are not evaluating elements of rape or due process issues for example.) Assuming that Schultz had a strong belief that the defendants were guilty, include in your analysis whether this affects the moral and legal permissibility of his conduct.
3. Michelle worked two jobs as a security guard in Phoenix, Arizona. She was walking outside the building where she works at 6:30 AM, Monday, when two bundles of money fell out of an armored truck en route to a bank. Inside the bundles was approximately $500,000. Michelle had an inheritance that would post to her bank account on Wednesday. She .
Polk Company builds custom fishing lures for sporting goods stores.docxLeilaniPoolsy
Polk Company builds custom fishing lures for sporting goods stores. In its first year of operations, 2012, the company incurred the following costs.
Variable Cost per Unit
Direct materials
$7.95
Direct labor
$2.60
Variable manufacturing overhead
$6.10
Variable selling and administrative expenses
$4.13
Fixed Costs per Year
Fixed manufacturing overhead
$249,424
Fixed selling and administrative expenses
$254,506
Polk Company sells the fishing lures for $26.50. During 2012, the company sold 80,300 lures and produced 95,200 lures.
Assuming the company uses variable costing, calculate Polk’s manufacturing cost per unit for 2012. (Round answer to 2 decimal places, e.g.10.50.)
Manufacturing cost per unit
$
Prepare a variable costing income statement for 2012.
POLK COMPANY
Income Statement
For the Year Ended December 31, 2012
Variable Costing
$
$
$
(2)
For Turgo Company, variable costs are 63% of sales, and fixed costs are $179,100. Management’s net income goal is $54,074.
Compute the required sales in dollars needed to achieve management’s target net income of $54,074.
Required sales
$
(3)
For Kozy Company, actual sales are $1,208,000 and break-even sales are $785,200.
Compute the margin of safety in dollars and the margin of safety ratio.
Margin of safety
$
Margin of safety ratio
%
(6)
For the quarter ended March 31, 2012, Maris Company accumulates the following sales data for its product, Garden-Tools: $318,000 budget; $335,300 actual.
Prepare a static budget report for the quarter.
MARIS COMPANY
Sales Budget Report
For the Quarter Ended March 31, 2012
Product Line
Budget
Actual
Difference
Garden-Tools
$
$
$
(7)
Gundy Company expects to produce 1,301,760 units of Product XX in 2012. Monthly production is expected to range from 86,150 to 123,950 units. Budgeted variable manufacturing costs per unit are: direct materials $3, direct labor $8, and overhead $10. Budgeted fixed manufacturing costs per unit for depreciation are $6 and for supervision are $2.
Prepare a flexible manufacturing budget for the relevant range value using 18,900 unit increments. (List variable costs before fixed costs.)
GUNDY COMPANY
Monthly Flexible Manufacturing Budget
For the Year 2012
$
$
$
$
$
$
$
$
$
.
Political/Legal Issues - Parth Vyas
I. Overview
A. Issues
1. Political, social, cultural, legal
2. Modern technology
II. The Issues and Their Relationships
A. Political Issues
1. developed countries
2. undeveloped countries
B. International Policies
C. Technology
1. Innovation – development and manufacturing
2. Social and economic development
a. environmental pollution
b. increasing prices
This is the outline……
.
Political corruption is epidemic in Russia today. What e.docxLeilaniPoolsy
Political corruption is epidemic in Russia today. What effect does this have on Russian economy? Compare and contrast bureaus and business firms.
In your opinion, what types of optional benefits have come to be “expected” by employees, and why would it be a good idea for employers to offer them as part of their benefits package?
Compare and contrast the three common types of retirement plans offered by employers, and indicate whether they are contributory or noncontributory plans. What are the advantages and disadvantages of each one to the employee and to the employer?
What benefits are included in Social Security, who may receive benefits, and who pays for Social Security?
.
POLA43Describe the governor’s roles in influencing the budgetary.docxLeilaniPoolsy
POLA43
Describe the governor’s roles in influencing the budgetary process.
· Response should be at least 500 words in length, include an introduction, a body, and a conclusion.
· APA Style Format
· Use attached files
· At least one in-text citation from attached files
· Use the following reference when citing from attached files
Dye, T. R., & MacManus, S. A. (2012). Politics in states and communities (14th ed.). Upper Saddle River, NJ: Pearson Education.
· Any other source material must be referenced
Running head: Abbreviated title (<50 characters) 1
Abbreviated title (<50 characters) 3
Title of paper
Author name
Institution
Instructions
This document serves two purposes. Firstly, it is a template for the Method section. If you use this document to create your Method section without changing the formatting or deleting section headers, you should have a correctly formatted Method section. You will obviously need to replace much of the text here with your own writing, but leave the section headers untouched and follow the directions and you should be good to go.
Secondly, the text within the body of this document offers advice and suggestions on what to write within each section. They are intended to help you make sure that the appropriate material appears in the appropriate sections. This is text that must be replaced by your own writing, but you should find it helpful.
A final bit of advice: the Method section is like a recipe’s instructions. A recipe lists the ingredients needed very precisely and comments on possible variations (if one is at high altitudes, cooking time may be longer, etc). Similarly, the Participants, Materials, Measures, and Ethical Considerations sections list the ingredients and important issues for the research study very precisely. A recipe will also give the step-by-step process of how to create the dish, just as the Procedure gives step-by-step instructions on how to do the research.
This instruction page should be deleted entirely.
Method
Participants
Begin this section by talking about the population of people that will be needed for this study. Indicate anything necessary to permit the reader to know what sort of person is needed: do they have a disorder? Does it have a specific severity or range of severities? Is there an age range? Are factors such as gender, race, first language or others important or controlled?
Will there be any screening done, such as a questionnaire or a performance test? Will the results of these determine whether a potential participant is eligible to take part? Will these results determine which level of the predictor variable that the participant falls into? For example, if the person has an autism spectrum disorder, an assessment might be made to determine the severity of the disorder in order to classify them as mild, moderate, or severe for the purposes of the research study.
How will the participants be recruited? One can’t simply say: “They will be r.
POL 201 Week 5 DQ 2PreparePrior to beginning your reflection,.docxLeilaniPoolsy
POL 201 Week 5 DQ 2
Prepare:Prior to beginning your reflection, review all course readings and videos as required.
Reflect:The U.S. national government is based on the framework detailed in the U.S. Constitution. The process that the Founding Fathers used to map out our national government is fascinating and illuminating. The Constitution creates a system of checks and balances and separation of powers that have been focal points for class discussions. In addition, the Constitution identifies three main branches for the national government: the legislative, executive, and judicial, which are tasked, respectively, with the creation of the legislation to guide the country, the implementation and execution of that legislation, and the review of that legislation for constitutionality and legality. Interacting with the federal government includes a variety of different actors and political processes such as the states, political parties, interest groups, and federal elections. All these features create a vibrant and healthy democracy.
Write: In your initial post of at least 200 to 250 words, explain how and why one feature of the U.S. government is the most important for America’s democracy. Choose one feature below to discuss in detail:
· Written, detailed, flexible Constitution.
· Robust checks and balances.
· Explicit separation of powers.
· Expansive interaction by different political actors and processes with the federal government.
Use real-world examples and details to support your arguments. Support your position with APA citations from two or more of the assigned resources required for this discussion. Please be sure that you demonstrate understanding of these resources, integrate them into your argument, and cite them properly.
Surname: 1
Student’s name:
Lecturer’s name:
Course:
Date:
Stanley my role model
The secret to a healthy life is the feeling of love and peace. Affiliations in our everyday lives play a very crucial role. They serve to satisfy our social needs of being associated with other people and our needs of love. Sages put it that "Blood is thicker than water". A person's relatives serve a great role in their life. These are the people who never leave us in our ups and downs. They indeed are good friends through whom we are bonded by blood.
Stanley is a great friend and a brother to me. He is a person of sound character who quickly mingles with anyone in the society. He is down to earth in making and a composed young lad who does not rush to drawing conclusions when challenged by daily circumstances. His charisma culminated with his education moves all and sundry in subscribing to his viewpoints. Whenever there is need for imparting a young mind with information he does so without hesitance. He is a great source of inspiration and motivation. Stanley's character is worthy emulating. I dearly love and admire him.
Back at home, Stanley is highly appreciated by our parents in his undertakings. He is very generous and ne.
POL110 Week 10 Scenario Script Domestic, Foreign and Military Pol.docxLeilaniPoolsy
POL110 Week 10 Scenario Script: Domestic, Foreign and Military Policy
Slide #
Scene/Interaction
Narration
Slide 1
Introductory screen, containing the environment (an outside view of a government office building) and a title showing the scenario topic. There will be a “begin” button on the screen allowing students to begin the scenario.
Slide 2
Scene 1
Amanda and Dr. Ryan standing in Dr. Ryan’s office.
Dr. Ryan: Hello. It’s good to see you again.
Last week we saw how the bureaucracy and the judiciary functioned within the federal government. This week, we’ll assess how domestic, foreign, and military policies are integrated.
What do you think about these policies, Amanda?
Amanda: This is an immensely broad set of subjects, Dr. Ryan, so I hope I can do them justice.
Dr. Ryan: Well, Amanda, go ahead and give it your best shot.
Amanda: Okay, here I go.
I think we could begin by defining institutions as systems that help form a government and make it function. They include the armed forces, the church, the executive office, the bureaucracy, the judiciary, the voting public, the economy, and the political process itself. If institutions are strong and respond to public’s will, then the government will function smoothly.
But they could also be extractive. This is when they are used by elites to extract resources for their own benefit. Extractive institutions cause the state to be weak.
Slide 3
Interaction Slide
This will be a tabbed interaction that outlines ways of changing Social Security policies in the U.S.
Social Security could:
· Raise the retirement age
· Reduce benefits for high earners
· Raise taxes
· Increase wage cap
· Individual Investments
Button 1: There are several ways that the government could ensure that Social Security continues to support retirees in the U.S. The first way would be to raise retirement age until 70 years old, so that the long-term funding gap would close.
Button 2: The government could also reduce benefits for high earners, by cutting their monthly funds by about ten percent.
Button 3: Taxes could be raised from twelve-point-four percent to thirteen-point-four percent, so as to cover the ever-increasing cost of social security.
Button 4: Increasing the wage cap would mean that workers would pay Social Security taxes on a greater amount of what they earn.
Button 5: Finally, the government could let individuals invest some or all of their Social Security funds into approved, safe mutual funds.
Slide 4
Scene 2
Amanda and Dr. Ryan do a visual tour of a museum or historical exhibit in Capitol Hill that showcases the material that is covered. This is sort of a visual tour of Washington D.C. as well as a visual component to the conversation.
Dr. Ryan: Institutions can be so weak and corrupt that they can lead to state failure like you see in Sierra Leone, Zimbabwe, and Somalia.
Now, can you see how this applies to our own government?
Amanda.
Political Science 100 Introduction to American GovernmentCOURSE DES.docxLeilaniPoolsy
Political Science 100: Introduction to American GovernmentCOURSE DESCRIPTION AND LEARNING GOALS:
100 American Government (3)
People, their politics, and power; contemporary issues, changing political styles and processes, institution and underlying values of the American political system. Satisfies state requirements in U.S. Constitution and California State and local government. One or more sections offered online.
This course is a college level introduction to American government. Students will begin to develop the body of knowledge necessary for informed civic participation. More specifically, students will learn about democratic principles, the structure and institutions of government, the role that ethnicity, race, gender, class, culture and the economy play in shaping the political landscape in America.
By the end of the course students will have learned:
· what the fundamental characteristics of American government are and how the U.S. Constitution affects the organization of government, the relationship between national and state governments, and the relationship between government and citizens.
· understand human political behavior as it is expressed individually, collectively, and in groups.
· how the executive, legislative and judicial branches are organized and the role they play in the policymaking process.
· the institutions and politics of California.
· how to effectively use this knowledge as thoughtful citizens participating in civil society.
COURSE ASSIGNMENTS/REQUIREMENTS:
Exams. There will be three exams in this class. The two midterm exams are worth 100 points each and will cover distinct units identified on the course schedule below. The final exam will be comprehensive. All exams will include multiple choice and essay questions. Students must bring a blank Scantron form #882-E and a blank Bluebook to each exam (both can be purchased at the bookstore).
Quizzes. There will be weekly quizzes in multiple choice format. Scantron form 882E is required for each of the quizzes.
Students will also be graded on a short newspaper report. The objective of the report is to take something you learned in class and apply it to current events. As such, students will be required to write a 5 page paper on a newspaper article, where students analyze the article and discuss how it applies to or incorporates a key concept covered in the course. A more detailed description of this assignment will be passed out to students later on in the semester.
Attendance and Participation. Learning is an active exercise. Students at all levels of learning and accomplishment benefit when they become actively engaged in class. Therefore, weekly quizzes will be given in order to ensure attendance and to make sure students keep abreast of the readings,
Grading:
Midterm One: 20% of course grade
Midterm Two: 20% of course grade
Weekly Quizzes 20% of course grade
Writing Assignment: 20% of course grade
Final Exam: 20% of course grade
Grading Stand.
Policy implementation gridStakeholder Stake or inter.docxLeilaniPoolsy
Policy implementation grid
Stakeholder
Stake or interest
resources
Action channels open to stakeholder
Probability of participation and the manner of doing so
Influence as a product of resources and participation
Implication for implementation strategy
Action plan elements
Supportive stakeholders
Opposing stakeholders
Running head: 1
STAKEHOLDER ANALYSIS 6
Developing Strategic Leadership In The Public Sector
Stakeholder Analysis
Anise Hawkins
Capella University
DPA 840
Introduction
Sustainable development is dependent on the effective function of the public institutions. The public institutions shape the living standards of the people. When the public institutions are successful the people have high quality services raising their living standards. It is Essential for organizations to identify the public who affect or are affected by the organizations decision. An organization cannot function alone and it requires the support of all the stakeholders. A critical element of developing strategic leadership is the analysis of the stakeholders. It helps to determine how to strengthen the relationship for optimum gain (Joyce & JOYCE, 1999, p. 32).
There are two broad types of stakeholders, internal and external stakeholders. Internal stakeholders impact the organizational function from within. For instance, employees and board members are internal stakeholders. External stakeholders influence the organization from without. Examples of external stakeholders are communities and the media. They have a stake in determining the value of the organization. The level of influence, amount of power, level of interest and capabilities of the stakeholders vary (Marr & Creelman, 2011, p. 79). They have strong, moderate or low influence and interests in the organizational function. Some are highly active while others are latent and apathetic. It means that the stakeholders cannot be treated equally in any given project. The have to be classified into different categories through stakeholder analysis. Classifying them helps the organization to develop successful strategies for enhancing the relationships (Joyce & JOYCE, 1999, p. 34).
below is a classification of the internal and external stakeholders, the influence/interest grid and stakeholders influence diagram for this project of developing strategic leadership in public institutions.
List of internal and external stakeholders
Internal Stakeholders
External Stakeholders
· Managers
· Employees
· Corporate leaders
· Stockholders
· Board members
· Suppliers
· Creditors
· experts
· Clients
· Community partners
· Government
· Trade unions
· Activist groups
· Media
· Opinion leader
· public
grid
(
High
)
KEEP SATISFIED
Stockholders
Board members
(
INFLUENCE
)
MANAGE CLOSELY
Employees
Experts
Managers
Suppliers
Creditors
Government
Corporate leaders
(
Low
)MONITOR
(MINIMUM EFFORT)
Public
Societ.
POL 201Post Your IntroductionPrepare Prior to posting y.docxLeilaniPoolsy
POL 201
Post Your Introduction
Prepare: Prior to posting your introduction, read the two articles provided by the Pew Research Center on Political Typology: “Key Facts from Pew Research’s Political Typology” and “Beyond Red vs. Blue: The Political Typology.” Next, take the Political Typology Quiz by clicking on “Begin Quiz” at the bottom of the web page. Respond to the questionnaire to get information about your political philosophy or ideology. Save your results for future reference in this course.
Reflect: Once you complete the quiz, look over the results and evaluate if they reflect your personal political beliefs and how accurate the quiz is at identifying your views on American politics.
Write: Post your two-paragraph introduction. In the first paragraph, tell a little about your personal and professional interests. In the second paragraph, describe your political philosophy based on the results of the Political Typology Quiz. If you disagree with the results, please discuss what you found inaccurate about the results and what you contend is your personal, political ideology.
Respond to Peers: By Day 7, respond to at least three classmates’ introductions. Compare and contrast your political ideology with your classmates’ political ideologies.
AssetsAsset IDCustomer IDItemModelSerial NumberCategoryIn Service DatePurchase DateCost1955108Desktop PC Systemz99145A SystemZA9932716482Computers01/10/201101/09/2011$ 1,200.001956110Espresso MachineLH3000 2267155789AAppliances02/11/201101/27/2011$ 100.001957107MicrowaveMicrowave Oven 110077W2245ZA23Appliances04/20/201103/17/2011$ 150.001958105Desk ChairErgoChair 1005574986320HOffice Furniture05/18/201103/26/2011$ 50.001959104VOIP TelephoneClear Call 2000778640061KTelephones05/23/201104/18/2011$ 75.001960109Desk ChairErgoChair 1005575372783EOffice Furniture06/14/201104/23/2011$ 50.001961107Digital CameraIX US 801S1X2U5G64ACCameras05/20/201105/01/2011$ 300.001962110Desk ChairErgoChair 1005582939281GOffice Furniture07/13/201106/07/2011$ 50.001963110Digital CameraIX US 801S1X2U9H28JSCameras07/22/201107/08/2011$ 300.001964111VOIP TelephoneClear Call 2000778682762GTelephones08/28/201107/15/2011$ 75.001965112MicrowaveMicrowave Oven 110077W3738HT81Appliances01/10/201211/24/2011$ 150.001966103VOIP TelephoneClear Call 2000779182737STelephones03/09/201201/12/2012$ 75.001967109Desktop PC Systemz99145A SystemZA9962536488Computers06/09/201204/18/2012$ 1,200.001968108VOIP TelephoneClear Call 2000782736489QTelephones05/21/201205/16/2012$ 75.001969107Desk ChairErgoChair 1005589282663EOffice Furniture08/15/201208/13/2012$ 50.00197010315" NotebookBusiness Notebook 15BN299765GComputers10/25/201210/22/2012$ 1,000.001971108Desk ChairErgoChair 1005591097523BOffice Furniture12/05/201210/29/2012$ 50.00197210715" NotebookBusiness Notebook 15BN374839PComputers12/30/201212/15/2012$ 1,000.001973109VOIP TelephoneClear Call 2000786728399STelephones02/03/201312/25/2012$ 75.0019741.
POLS Terms to Be Reviewed. Agenda SettingPoli.docxLeilaniPoolsy
POLS
Terms to Be Reviewed.
Agenda Setting
Policy Formation
Policy Implementation
Cesar Chavez/
United Farm Workers
Politics
Political Culture
Bill of Rights
Brown v. Board of Education
Civil Rights Acts 1964
Voting Rights Act of 1965
Political Socialization
Agents of Political Socialization
Judicial Review
Federalism
Federalists/
Anti-Federalists
Bush v. Gore
National Federation of Independent Business v. Sebelious
“Occupy Wall Street”
Roe v. Wade
“Tea Party”
“Two-Fifths Compromise”
American Political Development
Gideon v. Wainwright
Plessy v. Ferguson
Cabinet Departments
“Jacksonian Democracy”
The Progressives
Civil War/ Abraham Lincoln
Executive Office of the President
National Security Council
“Imperial Presidency”
Cuban Missile Crisis
The Office of Management and Budget
Reies Lopez Tijerina
Chicanismo
President as “First Legislator”
Committees (in U.S. Congress)
Conference Committee
Committee
Hearing
Reapportionment
Filibuster
Floor (U.S. Congress)
“Kitchen Cabinet”
Party System
Conventional/
unconventional forms of political participation
Pluralism
Interest Group
Lobbyist
Party Identification
Party System
Gerrymander
Political Action Committee
Incumbency advantage
Who elects the Justices of the Supreme Court (D.C. and California)?
Functions of the Governor of California
Assembly in California
Senate in California
The “Seven Executives” in California
Number of Justices of the U.S. Supre Court/Supreme Court of California
Electoral College/Number of Electors per state.
.
Polit, D. & Beck, C. (2012). Nursing research Generating and asse.docxLeilaniPoolsy
Polit, D. & Beck, C. (2012). Nursing research: Generating and assessing evidence for nursing practice (9th ed.). Philidelphia, PA: Lippincott Williams & Wilkins
Polit, D. & Beck, C. (2012). Nursing research: Generating and assessing evidence for nursing practice (9th ed.). Philidelphia, PA: Lippincott Williams & Wilkins
p. 673
A type of mixed studies model is an integrated design (Sandelowski
et al., 2007), which can be used when qualitative
and quantitative findings in an area of inquiry are
perceived as able to confirm, extend, or refute each
other. In an integrated design, studies are grouped not
by method but by findings viewed as answering the
same research question. The analytic approach may
involve transforming the findings (qualitizing quantitative
findings or quantitizing qualitative findings) to
enable them to be combined. A particularly sophisticated
variant of this model is to use a Bayesian
synthesis, as exemplified in a study in which
p. 676
In drawing conclusions about a research synthesis,
a major issue concerns the nature of the decisions
the researcher made. Sampling decisions, approaches
to handling quality of the primary studies, and analytic
approaches should be carefully evaluated to
assess the soundness of the reviewers’ conclusions.
Another aspect, however, is drawing inferences about
how you might use the evidence in clinical practice.
Examples of critique:
Example 1: A Meta-Analysis
Study: Meta-analysis of quality-of-life outcomes from
physical activity interventions (Conn et al., 2009).
Purpose: The purpose of the meta-analysis was to integrate
research evidence on the effects of physical activity
(PA) on quality of life (QOL) outcomes among
adults with chronic illness. Two of the specific research
questions addressed were: (a) What is the overall mean
difference effect size (ES) in QOL scores between
treatment and control subjects after interventions to
increase PA? (b) Do the effects of PA interventions on
QOL outcomes vary depending on the characteristics
of participants, methodology, or interventions?
Eligibility Criteria: Criteria for study inclusion were
spelled out in Table 1 of the report, together with an
explicit rationale for each criterion. A study was
included if it examined the effects of a PA intervention
on QOL for people with a chronic illness and if it:
(a) was an English-language study, (b) was published
in a report after 1970, (c) involved a sample of at least
5 subjects, and (d) included measures designed
specifically to assess QOL (not, for example, QOLrelated
constructs such as mood). Both published and
unpublished reports were eligible, and diverse
research designs were permitted (not just RCTs).
Search Strategy: A reference librarian performed
searches, using well-specified search terms, in 11 databases
(e.g., MEDLINE, CINAHL, Dissertation
Abstracts, Scopus, PsycINFO). The National Institutes
of Health database of funded studies was also searched.
Ancestry searching was conducted, a.
Policies to Assist Parents with Young ChildrenVO L . 2 1 .docxLeilaniPoolsy
Policies to Assist Parents with Young Children
VO L . 2 1 / N O. 2 / FA L L 2 0 1 1 3 7
Policies to Assist Parents with
Young Children
Christopher J. Ruhm
Summary
The struggle to balance work responsibilities with family obligations may be most difficult for
working parents of the youngest children, those five and under. Any policy changes designed to
ease the difficulties for these families are likely to be controversial, requiring a careful effort to
weigh both the costs and benefits of possible interventions while respecting diverse and at times
conflicting American values. In this article, Christopher Ruhm looks at two potential interven-
tions—parental leave and early childhood education and care (ECEC)—comparing differences
in policies in the United States, Canada, and several European nations and assessing their
consequences for important parent and child outcomes.
By and large, Canadian and European policies are more generous than those in the United
States, with most women eligible for paid maternity leave, which in a few countries can last for
three years or more. Many of these countries also provide for paid leave that can be used by
either the mother or the father. And in many European countries ECEC programs are nearly
universal after the child reaches a certain age. In the United States, parental leave, if it is avail-
able, is usually short and unpaid, and ECEC is generally regarded as a private responsibility of
parents, although some federal programs help defray costs of care and preschool education.
Ruhm notes that research on the effects of differences in policies is not completely conclusive,
in part because of the difficulty of isolating consequences of leave and ECEC policies from
other influences on employment and children’s outcomes. But, he says, the comparative evi-
dence does suggest desirable directions for future policy in the United States. Policies establish-
ing rights to short parental leaves increase time at home with infants and slightly improve the
job continuity of mothers, with small, but positive, long-run consequences for mothers and
children. Therefore, Ruhm indicates that moderate extensions of existing U.S. leave entitle-
ments (up to several months in duration) make sense. He also suggests that some form of paid
leave would facilitate its use, particularly among less advantaged parents, and that efforts to
improve the quality of ECEC, while maintaining or enhancing affordability, are desirable.
www.futureofchildren.org
Christopher J. Ruhm is a professor of public policy and economics at the University of Virginia and a research associate at the National
Bureau of Economic Research.
3 8 T H E F U T U R E O F C H I L D R E N
Christopher J. Ruhm
B
alancing the competing needs
of work and family life is a
challenge for most households,
but the difficulties may be
greatest for households with
young children, defined here as newborns
through a.
Policemen of the WorldThesis and Outline 1Policemen of the World.docxLeilaniPoolsy
Policemen of the WorldThesis and Outline 1
Policemen of the World Thesis and Outline 5
Assignment 2.1: Policemen of the World Thesis and Outline
Justin Carter
Strayer University
Dr. Caren Stayer
HIS 105
5/25/14
Introduction Paragraph
According to historical records and evidence, since the end of WWII US has involved her military in over 60 military actions in countries such as Vietnam, Afghanistan, Iraq, Panama, Haiti, Kuwait, Pakistan, Bosnia among other countries across the globe. In this respect, American presidents have used their power and authority with the approval of the congress to send and dispatch American troops to engage in military functions such as engaging in attacks and bombing of groups that are pose threat to world peace. Although more often than not, U.S military operations on international level have received a lot of criticism across board it can be argued that U.S has a long history of overseas military operations as tries to maintain its superiority thus currently its military operation plays an important role across boundaries all over the globe (Heitmeyer, 2011).
Outline
I. Three International Events from the past five years that can be traced back to a foreign policy created after the Civil War
A. The killing of Osama Bin Laden in the year 2012 by the U.S government in the year 2012
B. The Islamic revolutions that were witnessed in Tunisia, Libya, Egypt, Syria and other Islamic states
C. U.S military action in Afghanistan
II. Three Aspects of U.S. history since 1865 that have led to the U.S.'s rise as a world super power police force
A. Industrialization was the first factor that supported U.S and during this period a lot of discoveries were made in U.S as compared to other industrial powers of the time
B. US flamboyant economy played a major role especially during the first and the Second World War
C. The Mahan’s naval strategy whereby her navy withdrew to newly acquired coaling stations increased her rise to world power
III. Three to five international incidents since World War II where American has taken on a policing role
A. U.S involvement in Iran politics during the famous White Revolution whereby U.S was supporting Reza Pahlavi
B. U.S was in the forefront in 2003 in Iraq as she tried to rescue the people of Iraq from continuous mass killing of people by Saddam Hussein
C. U.S played an important role in 2013 in restoration of peace in Libya and other Egypt by sending her troops there
IV. Three to five driving forces that fueled international policy decisions involving the international incidents you outlined previously (consider treaties, exit strategies, elections, wars, etc.)
A. The case of Iran during the heights of cold war was her ally thus this forced her to support the people during the famous White Revolution
B. Terrorism threat as was witnessed on September 11, 2001 forced US to host Saddam Hussein from power
C. In the case of Libya and Egypt, U.S want.
POL110 Week 9 Scenario Script The Bureaucracy and the Judiciary.docxLeilaniPoolsy
POL110 Week 9 Scenario Script: The Bureaucracy and the Judiciary
Slide #
Scene/Interaction
Narration
Slide 1
Introductory screen, containing the environment (an outside view of a government office building) and a title showing the scenario topic. There will be a “begin” button on the screen allowing students to begin the scenario.
Slide 2
Scene 1
Amanda and Dr. Ryan standing in Dr. Ryan’s office.
POL110_9_1_DR-1.mp3: Hello again. It’s good to see you here for the last week of your internship. We only have a few more topics to cover before you’re ready to move on.
Last week we examined the role that the president plays in the decisionmaking process. This week we will look at the bureaucracy and the judiciary, two completely different institutions that are absolutely necessary for our democracy to work.
What do you think about these institutions, Amanda?
POL110_9_1_AI-1.mp3: Well Dr. Ryan, I know some of this from my readings. Unique among other democracies, America’s bureaucracy is distinctive. This is because political authority over it is shared by the executive and legislative branches. This encourages it to play each branch off against the other.
Secondly, in the U.S., federal bureaucrats pay other agencies at the state and local levels, as well as business firms and non-profit agencies, to administer government programs.
POL110_9_1_DR-2.mp3: Good start. Now let’s look at the bureaucracy’s growth. It began small, of course, but exploded first during World War I from 1917 to 1919. This was because of the role the government took in the post-war growing economy.
Then, a little more than a decade later under Roosevelt’s New Deal it became even larger. This was because of the expansion of federal programs like welfare and Social Security. Roosevelt later invoked the income tax policy during World War II and was collecting a huge amount of money by the end of the war.
As you can imagine, this required a substantial increase in federal workers to keep track of these revenues. This money was used to start a great many additional programs which, in turn, required more administrators.
POL110_9_1_AI-2.mp3: That very interesting! I think that the federal bureaucracy, numbering just about two and one-half million people today, is now at the same level it was in 1955. In fact, it’s shrunk since then, relative to the population of over three hundred million Americans whom it now serves.
Slide 3
Interaction Slide
This will be an interaction that showcases various facts about the distinctiveness of the American bureaucracy.
Button 1: Political authority. Political authority over the bureaucracy is shared between the presidency and Congress. This means that bureaucrats are able to play each branch against the other. In parliamentary governments, like Great Britian, the prime minister and cabinet control the bureaucracy.
Button 2: Shared functions. Most federal.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Executive Directors Chat Leveraging AI for Diversity, Equity, and InclusionTechSoup
Let’s explore the intersection of technology and equity in the final session of our DEI series. Discover how AI tools, like ChatGPT, can be used to support and enhance your nonprofit's DEI initiatives. Participants will gain insights into practical AI applications and get tips for leveraging technology to advance their DEI goals.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar Kanvaria
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Please put answers below the boxes1) A politician claims that .docx
1. Please put answers below the boxes
1)
A politician claims that he is supported by a clear majority of
voters. In a recent survey, 35 out of 51 randomly selected voters
indicated that they would vote for the politician. Use a 5%
significance level for the test. Use Table 1.
a.
Select the null and the alternative hypotheses.
H0: p = 0.50; HA: p ≠ 0.50
H0: p ≤ 0.50; HA: p > 0.50
H0: p ≥ 0.50; HA: p < 0.50
b.
Calculate the sample proportion. (Round your answer to 3
decimal places.)
Sample proportion
c.
Calculate the value of test statistic. (Round intermediate
calculations to 4 decimal places. Round your answer to 2
decimal places.)
Test statistic
2. d.
Calculate the p-value of the test statistic. (Round intermediate
calculations to 4 decimal places. Round "z" value to 2 decimal
places and final answer to 4 decimal places.)
p-value
e.
What is the conclusion?
Do not reject H0; the politician is not supported by a clear
majority
Do not reject H0; the politician is supported by a clear majority
Reject H0; the politician is not supported by a clear majority
Reject H0; the politician is supported by a clear majority
2)
Consider the following contingency table.
B
Bc
A
22
24
Ac
3. 28
26
a.
Convert the contingency table into a joint probability table.
(Round your intermediate calculations and final answers to 4
decimal places.)
B
Bc
Total
A
Ac
Total
b.
What is the probability that A occurs? (Round your intermediate
calculations and final answer to 4 decimal places.)
Probability
c.
What is the probability that A and B occur? (Round your
4. intermediate calculations and final answer to 4 decimal places.)
Probability
d.
Given that B has occurred, what is the probability that A
occurs? (Round your intermediate calculations and final answer
to 4 decimal places.)
Probability
e.
Given that Ac has occurred, what is the probability that B
occurs? (Round your intermediate calculations and final answer
to 4 decimal places.)
Probability
f.
Are A and B mutually exclusive events?
Yes because P(A | B) ≠ P(A).
Yes because P(A ∩ B) ≠ 0.
No because P(A | B) ≠ P(A).
No because P(A ∩ B) ≠ 0.
5. g.
Are A and B independent events?
Yes because P(A | B) ≠ P(A).
Yes because P(A ∩ B) ≠ 0.
No because P(A | B) ≠ P(A).
No because P(A ∩ B) ≠ 0.
3)
A hair salon in Cambridge, Massachusetts, reports that on seven
randomly selected weekdays, the number of customers who
visited the salon were 72, 55, 49, 35, 39, 23, and 77. It can be
assumed that weekday customer visits follow a normal
distribution. Use Table 2.
a.
Construct a 90% confidence interval for the average number of
customers who visit the salon on weekdays. (Round
intermediate calculations to 4 decimal places, "sample mean"
and "sample standard deviation" to 2 decimal places and "t"
value to 3 decimal places, and final answers to 2 decimal
places.)
Confidence interval
to
b.
Construct a 99% confidence interval for the average number of
customers who visit the salon on weekdays. (Round
6. intermediate calculations to 4 decimal places, "sample mean"
and "sample standard deviation" to 2 decimal places and "t"
value to 3 decimal places, and final answers to 2 decimal
places.)
Confidence interval
to
c.
What happens to the width of the interval as the confidence
level increases?
As the confidence level increases, the interval becomes
narrower and less precise.
As the confidence level increases, the interval becomes wider
and less precise.
4)
Consider the following sample data:
x
22
7. 36
10
31
11
37
28
32
y
28
44
36
36
34
37
39
33
Click here for the Excel Data File
b.
Calculate b1 and b0. What is the sample regression equation?
(Round intermediate calculations to 4 decimal places and final
answers to 2 decimal places.)
y-hat = + x
c.
Find the predicted value for y if x equals 12, 17, and 22. (Round
intermediate coefficient values and final answers to 2 decimal
places.)
y-hat
If x = 12
If x = 17
8. If x = 22
5)
India is the second most populous country in the world, with a
population of over 1 billion people. Although the government
has offered various incentives for population control, some
argue that the birth rate, especially in rural India, is still too
high to be sustainable. A demographer assumes the following
probability distribution of the household size in India.
Household Size
Probability
1
0.04
2
0.13
3
0.15
4
0.22
5
0.17
6
0.15
7
0.11
8
0.03
a.
What is the probability that there are less than 5 members in a
typical household in India? (Round your answer to 2 decimal
places.)
9. Probability
b.
What is the probability that there are 5 or more members in a
typical household in India? (Round your answer to 2 decimal
places.)
Probability
c.
What is the probability that the number of members in a typical
household in India is greater than 4 and less than 7 members?
(Round your answer to 2 decimal places.)
Probability
6)
Consider the following population data:
22
28
10
12
8
a.
Calculate the range.
10. Range
b.
Calculate MAD. (Round your intermediate calculations to 4
decimal places and final answer to 2 decimal places.)
MAD
c.
Calculate the population variance. (Round your intermediate
calculations to 4 decimal places and final answer to 2 decimal
places.)
Population variance
d.
Calculate the population standard deviation. (Round your
intermediate calculations to 4 decimal places and final answer
to 2 decimal places.)
Population standard deviation
7)
On a particularly busy section of the Garden State Parkway in
New Jersey, police use radar guns to detect speeders. Assume
the time that elapses between successive speeders is
exponentially distributed with a mean of 19 minutes.
a.
Calculate the rate parameter λ. (Round your answer to 4 decimal
places.)
11. Rate parameter λ
b.
What is the probability of a waiting time less than 13 minutes
between successive speeders? (Round your answer to 4 decimal
places.)
Probability
c.
What is the probability of a waiting time in excess of 27
minutes between successive speeders? (Round your answer to 4
decimal places.)
Probability
8)
The following ANOVA table was obtained when estimating a
multiple regression.
ANOVA
df
SS
MS
F
Significance F
Regression
2
188,492.30
94,246.15
60.08
4.86E-11
Residual
13. to 4 decimal places.)
Coefficient of determination
b-2.
Interpret the coefficient of determination.
The proportion of the variation in x that is explained by the
regression model.
The proportion of the variation in y that is explained by the
regression model.
c.
Calculate adjusted R2. (Round your answer to 4 decimal
places.)
Adjusted R2
9)
In order to estimate the mean 30-year fixed mortgage rate for a
home loan in the United States, a random sample of 17 recent
loans is taken. The average calculated from this sample is
4.85%. It can be assumed that 30-year fixed mortgage rates are
normally distributed with a standard deviation of 0.5%.
Compute 90% and 95% confidence intervals for the population
mean 30-year fixed mortgage rate. Use Table 1. (Round
intermediate calculations to 4 decimal places, "z" value and
final answers to 2 decimal places. Enter your answers as
percentages, not decimals.)
Confidence Level
14. Confidence Interval
90%
%
to
%
95%
%
to
10)
Consider the following hypotheses:
H0: p ≥ 0.37
HA: p < 0.37
Which of the following sample information enables us to reject
the null hypothesis at α = 0.05 and at
α = 0.10? Use Table 1.
α = 0.05
α = 0.10
a.
x = 33; n = 100
b.
x = 80; n = 285
c.
= 0.34; n = 58
15. d.
= 0.34; n = 416
a. Reject or Do not reject
11)
In a multiple regression with two explanatory variables and 117
observations, it is found that SSR = 4.51 and SST = 8.86.
a.
Calculate the standard error of the estimate. (Round your
answer to 2 decimal places.)
se
b.
Calculate the coefficient of determination R2. (Round your
answer to 4 decimal places.)
R2
c.
Calculate adjusted R2. (Round your answer to 4 decimal
places.)
Adjusted R2
12)
A retailer is looking to evaluate its customer service.
Management has determined that if the retailer wants to stay
competitive, then it will have to have at least a 91% satisfaction
rate among its customers. Management will take corrective
16. actions if the satisfaction rate falls below 91%. A survey of
1,450 customers showed that 1,305 were satisfied with their
customer service. Use Table 1.
a.
Select the hypotheses to test if the retailer needs to improve its
services.
H0: p = 0.91; HA: p ≠ 0.91
H0: p ≥ 0.91; HA: p < 0.91
H0: p ≤ 0.91; HA: p > 0.91
b.
What is the value of the appropriate test statistic? (Negative
value should be indicated by a minus sign. Round intermediate
calculations to 4 decimal places. Round your answer to 2
decimal places.)
Test statistic
c.
Compute the p-value. (Round "z" value to 2 decimal places and
final answer to 4 decimal places.)
p-value
d.
What is the conclusion?
17. The management will take corrective action.
The management will not take corrective action.
13)
Consider the following hypotheses:
H0: μ = 360
HA: μ ≠ 360
The population is normally distributed with a population
standard deviation of 73. Use Table 1.
a.
Use a 10% level of significance to determine the critical
value(s) of the test. (Round your answer to 2 decimal places.)
Critical value(s)
±
b-1.
Calculate the value of the test statistic with = 389 and n = 80.
(Round intermediate calculations to 4 decimal places. Round
your answer to 2 decimal places.)
Test statistic
b-2.
What is the conclusion at α = 0.10?
18. Do not reject H0 since the value of the test statistic is smaller
than the critical value.
Do not reject H0 since the value of the test statistic is greater
than the critical value.
Reject H0 since the value of the test statistic is smaller than the
critical value.
Reject H0 since the value of the test statistic is greater than the
critical value.
c.
Use a 5% level of significance to determine the critical value(s)
of the test. (Round your answer to 2 decimal places.)
Critical value(s)
±
d-1.
Calculate the value of the test statistic with = 335 and n = 80.
(Negative value should be indicated by a minus sign. Round
intermediate calculations to 4 decimal places. Round your
answer to 2 decimal places.)
Test statistic
d-2.
What is the conclusion at α = 0.05?
19. Reject H0 since the value of the test statistic is not less than the
negative critical value.
Reject H0 since the value of the test statistic is less than the
negative critical value.
Do not reject H0 since the value of the test statistic is not less
than the negative critical value.
Do not reject H0 since the value of the test statistic is less than
the negative critical value.
14)
Use computer) Assume that X is a hypergeometric random
variable with N = 55, S = 18, and n = 14. Calculate the
following probabilities. (Round your answers to 4 decimal
places.)
a.P(X = 8)
b.P(X ≥ 2)
c.P(X ≤ 4)
15)
For a sample of 41 New England cities, a sociologist studies the
crime rate in each city (crimes per 100,000 residents) as a
function of its poverty rate (in %) and its median income (in
$1,000s). The regression results are shown.
21. a.
Calculate the standard error of the estimate. (Round your
answer to 2 decimal places.)
b-1.
What proportion of the variability in crime rate is explained by
the variability in the explanatory variables? (Round your answer
to 4 decimal places.)
Explained proportion
b-2.
What proportion is unexplained? (Round your answer to 4
decimal places.)
Unexplained proportion
16)
Consider the following simple linear regression results based on
20 observations. Use Table 2.
Coefficients
Standard Error
t Stat
p-value
Lower 95%
23. Do not reject H0 the intercept is greater than zero.
Reject H0 the intercept is greater than zero.
Reject H0 the intercept differs from zero.
Do not reject H0 the intercept differs from zero.
b-1.
Construct the 95% confidence interval for the slope coefficient.
(Negative values should be indicated by a minus sign.Round
your intermediate calculations to 4 decimal places,"tα/2,df"
value to 3 decimal places and final answers to 2 decimal
places.)
Confidence interval
to
b-2.
At the 5% significance level, does the slope differ from zero?
Yes, since the interval does not contain zero.
No, since the interval contains zero.
Yes, since the interval contains zero.
No, since the interval does not contain zero.
24. 17)
Consider the following hypotheses:
H0: μ = 33
HA: μ ≠ 33
The population is normally distributed. A sample produces the
following observations:
38
31
34
36
33
38
28
Use the p-value approach to conduct the test at a 5% level of
significance. Use Table 2.
Click here for the Excel Data File
a.
Find the mean and the standard deviation. (Round intermediate
calculations to 4 decimal places. Round your answers to 2
decimal places.)
25. Mean
Standard deviation
b.
Calculate the value of the test statistic. (Round intermediate
calculations to 4 decimal places. Round your answer to 2
decimal places.)
Test statistic
c.
Approximate the p-value of the test statistic.
0.05 < p-value < 0.10
p-value > 0.20
0.10 < p-value < 0.20
d.
What is the conclusion?
Reject H0 since the p-value is greater than α.
26. Reject H0 since the p-value is smaller than α.
Do not reject H0 since the p-value is greater than α.
Do not reject H0 since the p-value is smaller than α.
18)
Let P(A) = 0.59, P(B) = 0.24, and P(A ∩ B) = 0.14.
a.
Calculate P(A | B). (Round your answer to 2 decimal places.)
P(A | B)
b.
Calculate P(A U B). (Round your answer to 2 decimal places.)
P(A U B)
c.
Calculate P((A U B)c). (Round your answer to 2 decimal
places.)
P((A U B)c)
19)
The time required to assemble an electronic component is
normally distributed with a mean and a standard deviation of 34
minutes and 20 minutes, respectively. Use Table 1.
a.
Find the probability that a randomly picked assembly takes
27. between 26 and 40 minutes. (Round "z" value to 2 decimal
places and final answer to 4 decimal places.)
Probability
b.
It is unusual for the assembly time to be above 56 minutes or
below 13 minutes. What proportion of assembly times fall in
these unusual categories? (Round "z" value to 2 decimal places
and final answer to 4 decimal places.)
Proportion of assembly times
20)
Christine has always been weak in mathematics. Based on her
performance prior to the final exam in Calculus, there is a 55%
chance that she will fail the course if she does not have a tutor.
With a tutor, her probability of failing decreases to 25%. There
is only a 65% chance that she will find a tutor at such short
notice.
a.
What is the probability that Christine fails the course? (Round
your answer to 4 decimal places.)
Probability
b.
Christine ends up failing the course. What is the probability that
she had found a tutor? (Round your answer to 4 decimal places.)
Probability
28. 21)
Consider the following returns for two investments, A and B,
over the past four years:
Investment 1:
5%
13%
–2%
7%
Investment 2:
3%
10%
–8%
13%
a-1.
Calculate the mean for each investment. (Round your answers to
2 decimal places.)
Mean
Investment 1
percent
Investment 2
percent
a-2.
Which investment provides the higher return?
29. Investment 2
Investment 1
b-1.
Calculate the standard deviation for each investment. (Round
your answers to 2 decimal places.)
Standard
Deviation
Investment 1
Investment 2
b-2.
Which investment provides less risk?
Investment 1
Investment 2
c-1.
Given a risk-free rate of 1.2%, calculate the Sharpe ratio for
each investment. (Do not round intermediate calculations.
Round your answers to 2 decimal places.)
30. Sharpe Ratio
Investment 1
Investment 2
c-2.
Which investment has performed better?
Investment 2
Investment 1
22)
Market observers are quite uncertain whether the stock market
has bottomed out from the economic meltdown that began in
2008. In an interview on March 8, 2009, CNBC interviewed two
prominent economists who offered differing views on whether
the U.S. economy was getting stronger or weaker. An investor
not wanting to miss out on possible investment opportunities
considers investing $20,000 in the stock market. He believes
that the probability is 0.30 that the market will improve, 0.37
that it will stay the same, and 0.33 that it will deteriorate.
Further, if the economy improves, he expects his investment to
grow to $28,000, but it can also go down to $17,000 if the
economy deteriorates. If the economy stays the same, his
investment will stay at $20,000.
a.
31. What is the expected value of his investment?
Expected value
$
b.
What should the investor do if he is risk neutral?
Investor invest the $20,000.
c.
Is the decision clear-cut if he is risk averse?
Yes
No
23)
A car manufacturer is concerned about poor customer
satisfaction at one of its dealerships. The management decides
to evaluate the satisfaction surveys of its next 66 customers.
The dealer will be fined if the number of customers who report
favorably is between 26 and 33. The dealership will be
dissolved if fewer than 26 report favorably. It is known that
62% of the dealer’s customers report favorably on satisfaction
surveys. Use Table 1.
a.
What is the probability that the dealer will be fined? (Round
intermediate calculations to 4 decimal places, “z” value to 2
32. decimal places, and final answer to 4 decimal places.)
Probability
b.
What is the probability that the dealership will be dissolved?
(Round intermediate calculations to 4 decimal places, “z” value
to 2 decimal places, and final answer to 4 decimal places.)
Probability
24)
The historical returns on a balanced portfolio have had an
average return of 10% and a standard deviation of 14%. Assume
that returns on this portfolio follow a normal distribution. Use
the empirical rule for normal distributions to answer the
following questions.
a.
What percentage of returns were greater than 38%? (Round your
answer to 1 decimal place.)
Percentage of returns
%
b.
What percentage of returns were below −18%? (Round your
answer to 1 decimal place.)
Percentage of returns
%
25)
A machine that is programmed to package 5.35 pounds of cereal
33. is being tested for its accuracy. In a sample of 16 cereal boxes,
the sample mean filling weight is calculated as 5.35 pounds. It
can be assumed that filling weights are normally distributed
with a population standard deviation of 0.04 pound. Use Table
1.
a-1.
Identify the relevant parameter of interest for these quantitative
data.
The parameter of interest is the proportion filling weight of all
cereal packages.
The parameter of interest is the average filling weight of all
cereal packages.
a-2.
Compute the point estimate as well as the margin of error with
95% confidence. (Round intermediate calculations to 4 decimal
places. Round "z" value and final answers to 2 decimal places.)
Point estimate
Margin of error
b-1.
Calculate the 95% confidence interval. (Use rounded margin of
error. Round your answers to 2 decimal places.)
34. Confidence interval
to
b-2.
Can we conclude that the packaging machine is operating
improperly?
Yes, since the confidence interval contains the target filling
weight of 5.35.
Yes, since the confidence interval does not contain the target
filling weight of 5.35.
No, since the confidence interval contains the target filling
weight of 5.35.
No, since the confidence interval does not contain the target
filling weight of 5.35.
c.
How large a sample must we take if we want the margin of error
to be at most 0.01 pound with 95% confidence? (Round
intermediate calculations to 4 decimal places.Round "z" value
to 2 decimal places and round up your final answer to the next
whole number.)
Sample size
26)
Consider the following hypotheses:
35. H0: μ ≥ 100
HA: μ < 100
The population is normally distributed. A sample produces the
following observations:
88
77
100
83
102
96
Use the critical value approach to conduct the test at a 5% level
of significance. Use Table 2.
a.
Find the mean and the standard deviation. (Round intermediate
calculations to 4 decimal places. Round your answers to 2
decimal places.)
Mean
Standard deviation
36. b.
Calculate the value of the test statistic. (Negative value should
be indicated by a minus sign. Round intermediate calculations
to 4 decimal places. Round your answer to 2 decimal places.)
Test statistic
c.
Calculate the critical value of the test statistic. (Negative value
should be indicated by a minus sign. Round intermediate
calculations to 4 decimal places. Round your answer to 3
decimal places.)
Critical value
d.
What is the conclusion?
Do not reject H0 since the value of the test statistic is less than
the negative critical value.
Do not reject H0 since the value of the test statistic is not less
than the negative critical value.
Reject H0 since the value of the test statistic is less than the
negative critical value.
Reject H0 since the value of the test statistic is not less than the
negative critical value.
37. 27)
In a simple linear regression, the following information is
given:
= − 23; = 42;
a.
Calculate b1. (Negative value should be indicated by a minus
sign. Round your answer to 2 decimal places.)
b1
b.
Calculate b0. (Round intermediate calculations to 4 decimal
places and final answer to 2 decimal places.)
b0
c-1.
What is the sample regression equation? (Negative value should
be indicated by a minus sign. Round your answers to 2 decimal
places.)
y-hat = + x
c-2.
Predict y if x equals −22.(Round intermediate coefficient values
and final answer to 2 decimal places.)
38. y-hat
28)
Using data from 50 workers, a researcher estimates Wage = β0
+ β1 Education + β2 Experience +β3 Age + ε, where Wage is
the hourly wage rate and Education, Experience, and Age are
the years of higher education, the years of experience, and the
age of the worker, respectively. A portion of the regression
results is shown in the following table.
Coefficients
Standard Error
t Stat
p-value
Intercept
7.27
3.99
1.43
0.0629
Education
1.03
0.37
3.54
0.0001
Experience
0.43
0.11
3.23
0.0020
Age
−0.01
0.06
−0.10
0.7920
39. a-1.
What is the point estimate for β1?
1.03
0.43
a-2.
Interpret this value.
As Education increases by 1 unit, Wage is predicted to increase
by 1.03 units.
As Education increases by 1 unit, Wage is predicted to increase
by 0.43 units, holding Age and Experience constant.
As Education increases by 1 unit, Wage is predicted to increase
by 1.03 units, holding Age and Experience constant.
As Education increases by 1 unit, Wage is predicted to increase
by 0.43 units.
a-3.
What is the point estimate for β2?
0.43
1.03
40. a-4.
Interpret this value.
Same interpretation by using 1.03 or -0.01
As Experience increases by 1 unit, Wage is predicted to
increase by 0.43 units, holding Age and Education constant.
b.
What is the sample regression equation? (Negative value should
be indicated by a minus sign. Round your answers to 2 decimal
places.)
y-hat = + Education + Experience + Age
c.
What is the predicted value for Age = 38, Education = 3 and
Experience = 5. (Do not round intermediate calculations. Round
your answer to 2 decimal places.)
y-hat
29)
Suppose that the average IQ score is normally distributed with a
mean of 115 and a standard deviation of 11. In addition to
providing the answer, state the relevant Excel commands. (Use
Excel)
a.
What is the probability a randomly selected person will have an
IQ score of less than 89? (Round your answer to 4 decimal
places.)
41. Probability
b.
What is the probability that a randomly selected person will
have an IQ score greater than 125? (Round your answer to 4
decimal places.)
Probability
c.
What minimum IQ score does a person have to achieve to be in
the top 2.6% of IQ scores? (Round your answer to 2 decimal
places.)
Minimum IQ score
30)
Consider the following frequency distribution.
Class
Frequency
2 up to 4
15
4 up to 6
65
6 up to 8
75
8 up to 10
15
a.
42. Calculate the population mean. (Round your answer to 2
decimal places.)
Population mean
b.
Calculate the population variance and the population standard
deviation. (Round your intermediate calculations to 4 decimal
places and final answers to 2 decimal places.)
Population variance
Population standard deviation
31)
Acceptance sampling is an important quality control technique,
where a batch of data is tested to determine if the proportion of
units having a particular attribute exceeds a given percentage.
Suppose that 15% of produced items are known to be
nonconforming. Every week a batch of items is evaluated and
the production machines are adjusted if the proportion of
nonconforming items exceeds 19%. Use Table 1.
a.
What is the probability that the production machines will be
adjusted if the batch consists of 68 items? (Round intermediate
calculations to 4 decimal places, “z” value to 2 decimal places,
and final answer to 4 decimal places.)
Probability
43. b.
What is the probability that the production machines will be
adjusted if the batch consists of 136 items? (Round intermediate
calculations to 4 decimal places, “z” value to 2 decimal places,
and final answer to 4 decimal places.)
Probability
32)
Assume that X is a binomial random variable with n = 27 and p
= 0.92. Calculate the following probabilities. (Round your
intermediate and final answers to 4 decimal places.)
a.P(X = 26)
b.P(X = 25)
c.P(X ≥ 25)
33)
A social scientist would like to analyze the relationship between
educational attainment and salary. He collects the following
sample data, where Education refers to years of higher
education and Salary is the individual’s annual salary in
thousands of dollars:
44. Education
3
4
6
2
5
4
8
0
Salary
$39
48
62
47
75
53
107
50
Click here for the Excel Data File
a.
Find the sample regression equation for the model: Salary = β0
+ β1Education + ε. (Round intermediate calculations to 4
decimal places. Enter your answers in thousands rounded to 2
decimal places.)
+ Education
b.
Interpret the coefficient for education.
45. As Education increases by 1 unit, an individual’s annual salary
is predicted to increase by $7,000.
As Education increases by 1 unit, an individual’s annual salary
is predicted to increase by $8,000.
As Education increases by 1 unit, an individual’s annual salary
is predicted to decrease by $7,000.
As Education inceases by 1 unit, an individual’s annual salary is
predicted to decrease by $8,000.
c.
What is the predicted salary for an individual who completed 7
years of higher education? (Round intermediate coefficient
values to 2 decimal places and final answer, in dollars, to the
nearest whole number.)
$
34)
A sample of patients arriving at Overbrook Hospital’s
emergency room recorded the following body temperature
readings over the weekend:
47. b.
Interpret the stem-and-leaf diagram.
The distribution is symmetric.
The distribution is Positively Skewed.
The distribution is Negatively Skewed.
35)
A manager of a local retail store analyzes the relationship
between advertising and sales by reviewing the store’s data for
the previous six months.
Advertising (in $100s)
Sales (in $1,000s)
198
122
55
43
54
42
53
41
200
124
160
48. 130
Click here for the Excel Data File
a.
Calculate the mean of advertising and the mean of sales. (Round
your answers to 2 decimal places.)
Mean
Advertising
Sales
b.
Calculate the standard deviation of advertising and the standard
deviation of sales. (Round your answers to 2 decimal places.)
Standard Deviation
Advertising
Sales
c-1.
Calculate the covariance between advertising and sales. (Round
your answer to 2 decimal places.)
Covariance
49. c-2.
Interpret the covariance between advertising and sales.
Positive correlation
Negative correlation
No correlation
d-1.
Calculate the correlation coefficient between advertising and
sales. (Round your answer to 2 decimal places.)
Correlation coefficient
d-2.
Interpret the correlation coefficient between advertising and
sales.
Strong positive correlation
Weak negative correlation
Weak positive correlation
No correlation
Strong negative correlation
50. 36)
The monthly closing stock prices (rounded to the nearest dollar)
for Panera Bread Co. for the first six months of 2010 are
reported in the following table. Use Table 2.
Months
Closing Stock Price
January 2010
$200
February 2010
205
March 2010
208
April 2010
207
May 2010
209
June 2010
204
SOURCE: http://finance.yahoo.com.
a.
Calculate the sample mean and the sample standard deviation.
(Round intermediate calculations to 4 decimal places and
"sample mean" and "sample standard deviation" to 2 decimal
places.)
Sample mean
Sample standard deviation
51. b.
Compute the 90% confidence interval for the mean stock price
of Panera Bread Co., assuming that the stock price is normally
distributed. (Round "t" value to 3 decimal places, and final
answers to 2 decimal places.)
Confidence interval
to
c.
What happens to the margin of error if a higher confidence level
is used for the interval estimate?
The margin of error decreases as the confidence level increases.
The margin of error increases as the confidence level increases.
37)
Complete the following probability table. (Round Prior
Probability answers to 2 decimal places and intermediate
calculations and other answers to 4 decimal places.)
Prior
Probability
Conditional Probability
Joint
Probability
Posterior
Probability
52. P(B)
0.49
P(A | B)
0.10
P(A ∩ B )
P(B | A)
P(Bc)
P(A | Bc)
0.34
P(A ∩ Bc)
P(Bc | A)
Total
P(A)
Total
38)
A local restaurant is committed to providing its patrons with the
best dining experience possible. On a recent survey, the
restaurant asked patrons to rate the quality of their entrées. The
responses ranged from 1 to 5, where 1 indicated a disappointing
entrée and 5 indicated an exceptional entrée.
The results of the survey are as follows:
54. 5
2
2
5
5
2
5
5
3
3
Click here for the Excel Data File
a.
Construct frequency and relative frequency distributions that
summarize the survey’s results. (Do not round intermediate
calculations. Round "relative frequency" to 3 decimal places.)
Rating
Frequency
Relative
Frequency
5
4
3
2
1
55. Total
b.
Are patrons generally satisfied with the quality of their entrées?
Yes
No
39)
At a new exhibit in the Museum of Science, people are asked to
choose between 71 or 200 random draws from a machine. The
machine is known to have 88 green balls and 82 red balls. After
each draw, the color of the ball is noted and the ball is put back
for the next draw. You win a prize if more than 58% of the
draws result in a green ball. Use Table 1.
a.
Calculate the probability of getting more than 58% green
56. balls.(Round intermediate calculations to 4 decimal places, “z”
value to 2 decimal places, and final answer to 4 decimal places.)
n
Probability
71
200
b.
Would you choose 71 or 200 draws for the game?
71 balls
200 balls
40)
A construction company in Naples, Florida, is struggling to sell
condominiums. In order to attract buyers, the company has
made numerous price reductions and better financing offers.
Although condominiums were once listed for $350,000, the
company believes that it will be able to get an average sale
price of $255,000. Let the price of these condominiums in the
next quarter be normally distributed with a standard deviation
of $17,000. Use Table 1.
a.
What is the probability that the condominium will sell at a price
(i) Below $231,000?, (ii) Above $293,000? (Round "z" value to
2 decimal places and final answer to 4 decimal places.)
57. Probability
Below $231,000
Above $293,000
b.
The company is also trying to sell an artist’s condo. Potential
buyers will find the unusual features of this condo either
pleasing or objectionable. The manager expects the average sale
price of this condo to be the same as others at $255,000, but
with a higher standard deviation of $21,000. What is the
probability that this condo will sell at a price (i) Below
$231,000?, (ii) Above $293,000? (Round your answers to 4
decimal places.)
Probability
Below $231,000
Above $293,000
41)
A random variable X is exponentially distributed with a mean of
0.17.
a-1.
What is the rate parameter λ? (Round your answer to 3 decimal
places.)
Rate parameter λ
58. a-2.
What is the standard deviation of X? (Round your answer to 3
decimal places.)
Standard deviation X
b.
Compute P(X > 0.30). (Round intermediate calculations to 4
decimal places and final answer to 4 decimal places.)
P(X > 0.30)
c.
Compute P(0.10 ≤ X ≤ 0.30). (Round intermediate calculations
to 4 decimal places and final answer to 4 decimal places.)
P(0.10 ≤ X ≤ 0.30)
42)
Professor Sanchez has been teaching Principles of Economics
for over 25 years. He uses the following scale for grading.
Grade
Numerical Score
Probability
A
4
0.140
B
3
0.200
C
59. 2
0.430
D
1
0.125
F
0
0.105
Part (a) omitted
b.
Convert the above probability distribution to a cumulative
probability distribution. (Round your answers to 3 decimal
places.)
Grade
P(X ≤ x)
F
D
C
B
A
c.
What is the probability of earning at least a B in Professor
Sanchez’s course? (Round your answer to 3 decimal places.)
Probability
60. d.
What is the probability of passing Professor Sanchez’s course?
(Round your answer to 3 decimal places.)
Probability
43)
The scheduled arrival time for a daily flight from Boston to
New York is 9:30 am. Historical data show that the arrival time
follows the continuous uniform distribution with an early
arrival time of 9:16 am and a late arrival time of 9:56 am.
a.
After converting the time data to a minute scale, calculate the
mean and the standard deviation for the distribution. (Round
your answers to 2 decimal places.)
Mean
minutes
Standard deviation
minutes
b.
What is the probability that a flight arrives late (later than 9:30
am)? (Do not round intermediate calculations. Round your
answer to 2 decimal places.)
Probability
44) Regression analysis can be used to analyze how a change in
one variable impacts the other variable, such as an increase in
61. marketing budget increasing sales. Find a unique area of your
life where one variable impacts the other variable (and that are
both measurable) and do a regression analysis on it. Be sure to
include the coefficient of determination as well as the test of
significance.
45)
Consider the following hypotheses:
H0: μ ≥ 201
HA: μ < 201
A sample of 80 observations results in a sample mean of 198.
The population standard deviation is known to be 20. Use Table
1.
a.
What is the critical value for the test with α = 0.05 and with α =
0.01? (Negative values should be indicated by a minus sign.
Round your answers to 2 decimal places.)
Critical Value
α = 0.05
α = 0.01
b-1.
Calculate the value of the test statistic. (Negative value should
be indicated by a minus sign. Round intermediate calculations
to 4 decimal places. Round your answer to 2 decimal places.)
Test statistic
62. b-2.
Does the above sample evidence enable us to reject the null
hypothesis at α = 0.05?
No since the value of the test statistic is not less than the
negative critical value.
Yes since the value of the test statistic is less than the negative
critical value.
Yes since the value of the test statistic is not less than the
negative critical value.
No since the value of the test statistic is less than the negative
critical value.
c.
Does the above sample evidence enable us to reject the null
hypothesis at α = 0.01?
No since the value of the test statistic is not less than the
negative critical value.
Yes since the value of the test statistic is less than the negative
critical value.
Yes since the value of the test statistic is not less than the
negative critical value.
63. No since the value of the test statistic is less than the negative
critical value.
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