This document provides a summary of 10 multiple choice questions from weekly checkpoints for the course GM533. The questions cover topics in statistics including calculating relative frequencies, means, medians, standard deviations, probabilities, z-scores, and interpreting normal distributions. Correct answer options are provided for each question. The document appears to be a study guide or self-assessment for a student in the GM533 course to check their understanding of key statistical concepts covered in the first 4 weeks.
Qnt 351 final exam august 2017 new versionAdams-ASs
QNT 351 FINAL EXAM AUGUST 2017 NEW VERSION
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QNT 351 FINAL EXAM AUGUST 2017 NEW VERSION
QNT 351 FINAL EXAM AUGUST 2017 NEW VERSION
The mean amount spent by a family of four on food is $500 per month with a standard deviation of $75. Assuming that the food costs are normally distributed, what is the probability that a family spends less than $410 per month?
• 0.1151
• 0.0362
• 0.8750
• 0.2158
As the size of the sample increases, what happens to the shape of the distribution of sample means?
• It cannot be predicted in advance.
• It is negatively skewed.
• It approaches a normal distribution.
• It is positively skewed.
What is the following table called?
Qnt 351 final exam new april 2016 versionAdams-ASs
QNT 351 FINAL EXAM NEW APRIL 2016 VERSION
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QNT 351 FINAL EXAM
NEW APRIL 2016 VERSION
A time series trend equation for Hammer Hardware is Y’ = 5.6 + 1.2t, where sales are in millions of dollars and t increases by one unit for each year. If the value of sales in the base year of 2016 is $5.6 million, what would be the estimated sales amount for 2018?
$8 million
$6.8 million
Unable to determine from given information
$5.6 million
A weight-loss company wants to statistically prove that its methods work. They randomly selected 10 clients who had been on the weight loss program for between 55 and 65 days. They looked at their beginning weights and their current weight. The statistical test they should utilize is:
t test for difference in paired samples
z test for two population proportions
Qnt 351 final exam august 2017 new versionAdams-ASs
QNT 351 FINAL EXAM AUGUST 2017 NEW VERSION
Buy Solutions: http://hwsoloutions.com/downloads/qnt-351-final-exam-august-2017-new-version/
QNT 351 FINAL EXAM AUGUST 2017 NEW VERSION
QNT 351 FINAL EXAM AUGUST 2017 NEW VERSION
The mean amount spent by a family of four on food is $500 per month with a standard deviation of $75. Assuming that the food costs are normally distributed, what is the probability that a family spends less than $410 per month?
• 0.1151
• 0.0362
• 0.8750
• 0.2158
As the size of the sample increases, what happens to the shape of the distribution of sample means?
• It cannot be predicted in advance.
• It is negatively skewed.
• It approaches a normal distribution.
• It is positively skewed.
What is the following table called?
Qnt 351 final exam new april 2016 versionAdams-ASs
QNT 351 FINAL EXAM NEW APRIL 2016 VERSION
Buy Solutions: http://hwsoloutions.com/downloads/qnt-351-final-exam-new-april-2016-version/
QNT 351 FINAL EXAM
NEW APRIL 2016 VERSION
A time series trend equation for Hammer Hardware is Y’ = 5.6 + 1.2t, where sales are in millions of dollars and t increases by one unit for each year. If the value of sales in the base year of 2016 is $5.6 million, what would be the estimated sales amount for 2018?
$8 million
$6.8 million
Unable to determine from given information
$5.6 million
A weight-loss company wants to statistically prove that its methods work. They randomly selected 10 clients who had been on the weight loss program for between 55 and 65 days. They looked at their beginning weights and their current weight. The statistical test they should utilize is:
t test for difference in paired samples
z test for two population proportions
QNT 351 PAPER Education for Service--qnt351paper.commamata53
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Q1 The Director of Golf for a local course wants to study the number of rounds played by members on weekdays. He gathered the sample information shown below for 520 rounds. At the .05 significance level, is there a difference in the number of rounds played by day of the week?
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1. James Desreumaux, VP of Human Resources of American First Banks (AFB), is reviewing the employee training programs of AFB banks. His staff randomly selected personnel files for 100 tellers in the Southeast Region and determined that their mean training time was 25 hours. Assume that the population standard deviation is 5 hours. The 95% confidence interval for the population mean of training times is
2. If x is a binomial random variable with n=10 and p=0.8, the mean value of x is______
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Q1
The Director of Golf for a local course wants to study the number of rounds played by members on weekdays.
For more course tutorials visit
www.qnt351.com
Q1 The Director of Golf for a local course wants to study the number of rounds played by members on weekdays. He gathered the sample information shown below for 520 rounds.
For more course tutorials visit
www.qnt351.com
Q1 The Director of Golf for a local course wants to study the number of rounds played by members on weekdays. He gathered the sample information shown below for 520 rounds.
For more course tutorials visit
www.qnt351.com
Q1 The Director of Golf for a local course wants to study the number of rounds played by members on weekdays. He gathered the sample information shown below for 520 rounds
For more classes visit
www.snaptutorial.com
Q1
The Director of Golf for a local course wants to study the number of rounds played by members on weekdays. He gathered the sample information shown below for 520 rounds. At the .05 significance level, is there a difference in the number of rounds played by day of the week?
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QNT 561 Final Exam Guide (New, 2017)
QNT 561 Week 1 Assignment Statistics Concepts and Descriptive Measures Instructions (Financial Data)
QNT 561 Week 1 Assignment Statistics Concepts and Descriptive Measures Instructions (Consumer Food)
QNT 561 Week 2 Case Study MBA Schools in Asia Pacific (2 Papers)
QNT 561 Week 3 Case Study SuperFun Toys (2 Papers)
QNT 561 Week 3 Assignment Expansion Strategy and Establishing a Re-Order Point
QNT 561 Week 4 Case the Payment Time
QNT 561 Week 5 Spicy Wings Case Study
For these problems, please use Excel to show your work, and submit.docxtemplestewart19
For these problems, please use Excel to show your work, and submit the Excel spreadsheet along with your completed assignment.
Find the point estimate of the population mean and the margin of error for a 90% confidence interval for the following drive times (in minutes) for commuters to a college.
35
40
47
22
17
19
36
44
65
55
22
23
16
46
44
38
29
22
37
16
8
15
27
41
45
17
11
45
63
17
28
19
64
55
53
50
Answer:
X
=
S
=
1231
= 34.1 Sample Mean
n
36
Use the results from the above data (#1) and determine the minimum survey size that is necessary to be 95% confident that the sample mean drive time is within 10 minutes of the actual mean commuting time.
In a random sample of 35 tractors, the annual cost of maintenance was $4,425 and the standard deviation was $775. Construct a 90% confidence interval for this. Assume the annual maintenance costs are normally distributed.
Answer:
90% = mean ± 1.645 SEm
SEm = SD/√n
I used the table in the back of my statistics text labeled "areas under normal distribution" to find the proportion/probability (±5%) to get Z = 1.645. I assume that you have a similar table available.
The following data represents the number of points scored by players on a high school basketball team this season.
Player 1
68
Player 6
128
Player 2
82
Player 7
66
Player 3
145
Player 8
54
Player 4
111
Player 9
221
Player 5
97
Player 10
99
Find the sample mean and the sample standard deviation.
Answer:
Sample Mean
1071
= 107.1
Sample Standard Deviation S = 3.16
10
Construct a 90% confidence interval for the population mean and interpret the results. Assume the population of the data set is normally distributed.
For the following statements, state the null and alternative hypotheses and identify which represents the claim. Determine when a type I or type II error occurs for a hypothesis test of the claim. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and explain your reasoning. Explain how you should interpret a decision that rejects the null hypothesis. Explain how you would interpret a decision that fails to reject the null hypothesis.
It is reported that the number of residents in Wisconsin who support plans to recall the governor is 48%.
An Amish bakery store states that the average shelf life of their fresh baked goods is seven days.
A soda manufacturer states that the average number of calories in the regular soda is less than 150 calories per serving.
The census figures show that the average income for a family in a rural region is approximately $34,860 per year. A random sample has a mean income of $33,566 per year, with a standard deviation of $1,245. At a sig. level of .0.01 is there enough evidence to reject the claim? Explain.
An advertising firm claims that the average expenditure for advertising for their customers is at least $12,500.
MS1023 Business Statistics with Computer Applications Homework.docxrosemarybdodson23141
MS1023 Business Statistics with Computer Applications Homework #1
Maho Sonmez [email protected] 1
1. Sue Taylor, Director of Global Industrial
Sales, is concerned by a deteriorating sales
trend. Specifically, the number of industrial
customers is stable at 1,500, but they are
purchasing less each year. She orders her
staff to search for causes of the downward
trend by surveying all 1,500 industrial
customers. For this study, the set of 1,500
industrial customers is ______________.
a) a parameter
b) a sample
c) the population
d) a statistic
e) the frame
2. Sue Taylor, Director of Global Industrial
Sales, is concerned by a deteriorating sales
trend. Specifically, the number of industrial
customers is stable at 1,500, but they are
purchasing less each year. She orders her
staff to search for causes of the downward
trend by selecting a focus group of 40
industrial customers. For this study, the set
of 40 industrial customers is ________.
a) a parameter
b) a sample
c) the population
d) a statistic
e) the frame
3. Sue Taylor, Director of Global Industrial
Sales, is concerned by a deteriorating sales
trend. Specifically, the number of customers
is stable at 1,500, but they are purchasing
less each year. She orders her staff to
search for causes of the downward trend by
surveying all 1,500 industrial customers.
Sue is ordering a __________.
a) statistic from the industrial customers
b) census of the industrial customers
c) sample of the industrial customers
d) sorting of the industrial customers
e) parameter of the industrial customers
4. Sue Taylor, Director of Global Industrial
Sales, is concerned by a deteriorating sales
trend. Specifically, the number of customers
is stable at 1,500, but they are purchasing
less each year.
She orders her staff to search for causes of
the downward trend by surveying all 1,500
industrial customers. One question on the
survey asked the customers: “Which of the
following best describes your primary
business: a. manufacturing, b. wholesaler,
c. retail, d. service.” The measurement
level for this question is
_________________.
a) interval level
b) ordinal level
c) nominal level
d) ratio level
e) relative level
5. Which scale of measurement has these
two properties: linear distance is meaningful
and the location of origin (or zero point) is
arbitrary?
a) Interval level
b) Ordinal level
c) Nominal level
d) Ratio level
e) Minimal level
6. Which scale of measurement has these
two properties: linear distance is
meaningful and the location of origin (or
zero point) is absolute (or natural)?
a) Interval level
b) Ordinal level
c) Nominal level
d) Ratio level
e) Relative level
7. Which of the following operations is
meaningful for processing nominal data?
a) Addition
b) Multiplication
c) Ranking
d) Counting
e) Division
MS1023 Business Statistics with Computer Applications Homework #1
Maho Sonmez [email pr.
QNT 351 PAPER Education for Service--qnt351paper.commamata53
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Q1 The Director of Golf for a local course wants to study the number of rounds played by members on weekdays. He gathered the sample information shown below for 520 rounds. At the .05 significance level, is there a difference in the number of rounds played by day of the week?
For more course tutorials visit
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www.newtonhelp.com
1. James Desreumaux, VP of Human Resources of American First Banks (AFB), is reviewing the employee training programs of AFB banks. His staff randomly selected personnel files for 100 tellers in the Southeast Region and determined that their mean training time was 25 hours. Assume that the population standard deviation is 5 hours. The 95% confidence interval for the population mean of training times is
2. If x is a binomial random variable with n=10 and p=0.8, the mean value of x is______
For more classes visit
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Q1
The Director of Golf for a local course wants to study the number of rounds played by members on weekdays.
For more course tutorials visit
www.qnt351.com
Q1 The Director of Golf for a local course wants to study the number of rounds played by members on weekdays. He gathered the sample information shown below for 520 rounds.
For more course tutorials visit
www.qnt351.com
Q1 The Director of Golf for a local course wants to study the number of rounds played by members on weekdays. He gathered the sample information shown below for 520 rounds.
For more course tutorials visit
www.qnt351.com
Q1 The Director of Golf for a local course wants to study the number of rounds played by members on weekdays. He gathered the sample information shown below for 520 rounds
For more classes visit
www.snaptutorial.com
Q1
The Director of Golf for a local course wants to study the number of rounds played by members on weekdays. He gathered the sample information shown below for 520 rounds. At the .05 significance level, is there a difference in the number of rounds played by day of the week?
FOR MORE CLASSES VISIT
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QNT 561 Final Exam Guide (New, 2017)
QNT 561 Week 1 Assignment Statistics Concepts and Descriptive Measures Instructions (Financial Data)
QNT 561 Week 1 Assignment Statistics Concepts and Descriptive Measures Instructions (Consumer Food)
QNT 561 Week 2 Case Study MBA Schools in Asia Pacific (2 Papers)
QNT 561 Week 3 Case Study SuperFun Toys (2 Papers)
QNT 561 Week 3 Assignment Expansion Strategy and Establishing a Re-Order Point
QNT 561 Week 4 Case the Payment Time
QNT 561 Week 5 Spicy Wings Case Study
For these problems, please use Excel to show your work, and submit.docxtemplestewart19
For these problems, please use Excel to show your work, and submit the Excel spreadsheet along with your completed assignment.
Find the point estimate of the population mean and the margin of error for a 90% confidence interval for the following drive times (in minutes) for commuters to a college.
35
40
47
22
17
19
36
44
65
55
22
23
16
46
44
38
29
22
37
16
8
15
27
41
45
17
11
45
63
17
28
19
64
55
53
50
Answer:
X
=
S
=
1231
= 34.1 Sample Mean
n
36
Use the results from the above data (#1) and determine the minimum survey size that is necessary to be 95% confident that the sample mean drive time is within 10 minutes of the actual mean commuting time.
In a random sample of 35 tractors, the annual cost of maintenance was $4,425 and the standard deviation was $775. Construct a 90% confidence interval for this. Assume the annual maintenance costs are normally distributed.
Answer:
90% = mean ± 1.645 SEm
SEm = SD/√n
I used the table in the back of my statistics text labeled "areas under normal distribution" to find the proportion/probability (±5%) to get Z = 1.645. I assume that you have a similar table available.
The following data represents the number of points scored by players on a high school basketball team this season.
Player 1
68
Player 6
128
Player 2
82
Player 7
66
Player 3
145
Player 8
54
Player 4
111
Player 9
221
Player 5
97
Player 10
99
Find the sample mean and the sample standard deviation.
Answer:
Sample Mean
1071
= 107.1
Sample Standard Deviation S = 3.16
10
Construct a 90% confidence interval for the population mean and interpret the results. Assume the population of the data set is normally distributed.
For the following statements, state the null and alternative hypotheses and identify which represents the claim. Determine when a type I or type II error occurs for a hypothesis test of the claim. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and explain your reasoning. Explain how you should interpret a decision that rejects the null hypothesis. Explain how you would interpret a decision that fails to reject the null hypothesis.
It is reported that the number of residents in Wisconsin who support plans to recall the governor is 48%.
An Amish bakery store states that the average shelf life of their fresh baked goods is seven days.
A soda manufacturer states that the average number of calories in the regular soda is less than 150 calories per serving.
The census figures show that the average income for a family in a rural region is approximately $34,860 per year. A random sample has a mean income of $33,566 per year, with a standard deviation of $1,245. At a sig. level of .0.01 is there enough evidence to reject the claim? Explain.
An advertising firm claims that the average expenditure for advertising for their customers is at least $12,500.
MS1023 Business Statistics with Computer Applications Homework.docxrosemarybdodson23141
MS1023 Business Statistics with Computer Applications Homework #1
Maho Sonmez [email protected] 1
1. Sue Taylor, Director of Global Industrial
Sales, is concerned by a deteriorating sales
trend. Specifically, the number of industrial
customers is stable at 1,500, but they are
purchasing less each year. She orders her
staff to search for causes of the downward
trend by surveying all 1,500 industrial
customers. For this study, the set of 1,500
industrial customers is ______________.
a) a parameter
b) a sample
c) the population
d) a statistic
e) the frame
2. Sue Taylor, Director of Global Industrial
Sales, is concerned by a deteriorating sales
trend. Specifically, the number of industrial
customers is stable at 1,500, but they are
purchasing less each year. She orders her
staff to search for causes of the downward
trend by selecting a focus group of 40
industrial customers. For this study, the set
of 40 industrial customers is ________.
a) a parameter
b) a sample
c) the population
d) a statistic
e) the frame
3. Sue Taylor, Director of Global Industrial
Sales, is concerned by a deteriorating sales
trend. Specifically, the number of customers
is stable at 1,500, but they are purchasing
less each year. She orders her staff to
search for causes of the downward trend by
surveying all 1,500 industrial customers.
Sue is ordering a __________.
a) statistic from the industrial customers
b) census of the industrial customers
c) sample of the industrial customers
d) sorting of the industrial customers
e) parameter of the industrial customers
4. Sue Taylor, Director of Global Industrial
Sales, is concerned by a deteriorating sales
trend. Specifically, the number of customers
is stable at 1,500, but they are purchasing
less each year.
She orders her staff to search for causes of
the downward trend by surveying all 1,500
industrial customers. One question on the
survey asked the customers: “Which of the
following best describes your primary
business: a. manufacturing, b. wholesaler,
c. retail, d. service.” The measurement
level for this question is
_________________.
a) interval level
b) ordinal level
c) nominal level
d) ratio level
e) relative level
5. Which scale of measurement has these
two properties: linear distance is meaningful
and the location of origin (or zero point) is
arbitrary?
a) Interval level
b) Ordinal level
c) Nominal level
d) Ratio level
e) Minimal level
6. Which scale of measurement has these
two properties: linear distance is
meaningful and the location of origin (or
zero point) is absolute (or natural)?
a) Interval level
b) Ordinal level
c) Nominal level
d) Ratio level
e) Relative level
7. Which of the following operations is
meaningful for processing nominal data?
a) Addition
b) Multiplication
c) Ranking
d) Counting
e) Division
MS1023 Business Statistics with Computer Applications Homework #1
Maho Sonmez [email pr.
A study of graduate & post graduate students regarding their career plansVaibhav Vaidya
Its a study done about career plans of students.
To study the trend of higher education.
Google form was made for collection of data and was shared with different field of students
STATUse the information below to answer Questions 1 through 4..docxdessiechisomjj4
STAT
Use the information below to answer Questions 1 through 4.
Given a sample size of 36, with sample mean 670.3 and sample standard deviation 114.9, we perform the following hypothesis test.
Null Hypothesis
Alternative Hypothesis
1. What is the test statistic?
2. At a 10% significance level (90% confidence level), what is the critical value in this test? Do we reject the null hypothesis?
3. What are the border values between acceptance and rejection of this hypothesis?
4. What is the power of this test if the assumed true mean were 710 instead of 700?.
Questions 5 through 8 involve rolling of dice.
5. Given a fair, six-sided die, what is the probability of rolling the die twice and getting a “1” each time?
6. What is the probability of getting a “1” on the second roll when you get a “1” on the first roll?
7. The House managed to load the die in such a way that the faces “2” and “4” show up twice as frequently as all other faces. Meanwhile, all the other faces still show up with equal frequency. What is the probability of getting a “1” when rolling this loaded die?
8. Write the probability distribution for this loaded die, showing each outcome and its probability. Also plot a histogram to show the probability distribution.
Use the data in the table to answer Questions 9 through 11.
x
3
1
4
4
5
y
1
-2
3
5
9
9. Determine SSxx, SSxy, and SSyy.
10.
Find the equation of the regression line. What is the predicted value when
11. Is the correlation significant at 1% significance level (99% confidence level)? Why or why not?
Use the data below to answer Questions 12 through 14.
A group of students from three universities were asked to pick their favorite college sport to attend of their choice: The results, in number of students, are listed as follows:
Football
Basketball
Soccer
Maryland
60
70
20
Duke
10
75
15
UCLA
35
65
25
Supposed a student is randomly selected from the group mentioned above.
12. What is the probability that the student is from UCLA or chooses football?
13. What is the probability that the student is from Duke, given that the student chooses basketball?
14. What is the probability that the student is from Maryland and chooses soccer?
Use the information below to answer Questions 15 and 17.
There are 3600 apples in a shipment. The weight of the apples in this shipment is normally distributed. It is found that it a mean weight of 14 ounces with a standard deviation of 2.5 ounces.
15. How many of apples have weights between 13 ounces and 15 ounces?
16. What is the probability that a randomly selected mango weighs less than 12.5 ounces?
17. A quality inspector randomly selected 100 apples from the shipment.
a. What is the probability that the 100 randomly selected apples have a mean weight less than 12.5 ounces?
b. Do you come up with the same result in Question 16? Why or why not?
18. A pharmaceutical company has developed a screening test for a rare disease that afflicted 2% of the population. Un.
1Answer the following questions1. Jackson even-numbered C.docxhyacinthshackley2629
1
Answer the following questions:
1. Jackson even-numbered Chapter Exercises (pp. 220-221; 273-275)
2. What are degrees of freedom? How are the calculated?
3. What do inferential statistics allow you to infer?
4. What is the General Linear Model (GLM)? Why does it matter?
5. Compare and contrast parametric and nonparametric statistics. Why and in what types of cases would you use one over the other?
Jackson even-numbered Chapter Exercises (pp. 220-221; 273-275)
Chapter 8/pp. 220-221
2) The producers of a new toothpaste claim that it prevents more cavities that other brands of toothpaste. A random sample of 60 people used the new toothpaste for 6 moths. The mean number of cavities at their next checkup is 1.5. In the general population, the mean number of cavities at a 6-month checkup is 1.73 (σ = 1.12).
a. Is this a one- or two-tailed test?
b. What are H0 and Ha for this study?
c. Compare Zobt
d. What is Zcv?
e. Should H0 be rejected? What should the researcher conclude?
f. Determine the 95% confidence interval for the population mean, based on the sample mean.
4) Henry performed a two-tailed test for an experiment in which N=24. He could not find his table of t critical values, but he remembered the tcv at df = 13. He decided to compare his tobt with this tcv. Is he more likely to make Type I or Type II error in this situation?
6) a researcher hypothesizes that individuals who listen to classical music will score differently from the general population on a test of spatial ability. On a standardized test of spatial ability. Μ = 58. A random sample of 14 individuals who listen to classical music is given the same test. Their scores on the test are 52, 59, 63, 65, 58, 55 62, 63, 53, 59, 61, 60, 59.
a. Is this a one- or two-tailed test?
b. What are H0 and Ha for this study?
c. Compare tobt
d. What is tcv?
e. Should H0 be rejected? What should the researcher conclude?
f. Determine the 95% confidence interval for the population mean, based on the sample mean.
8) A researcher believes that the percentage of people who exercise in California is greater than the national exercise rate. The national rate is 20%. The researcher gathers a random sample of 120 individuals who live in California and finds that the number who exercises regularly is 31 out of 120.
a) What is X2obt?
b) What is the df for this test?
c) What is X2cv?
d) What conclusion should be drawn from these results?
Chapter 10/pp. 273-275
2) A student is interested in whether students who study with music playing devote as much attention to their studies as do students who study under quiet conditions (he believes that studying under quiet conditions leads to better attention). He randomly participates to either the music or non-music condition and has them read and study the same passage of information for the same amount of time. Subjects are given the same 10-item test on the material. Their scores appear next. Scores on the test represent interval-ratio .
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Q1
The Director of Golf for a local course wants to study the number of rounds played by members on weekdays. He gathered the sample information shown below for 520 rounds. At the .05 significance level, is there a difference in the number of rounds played by day of the week?
2An auditor for American Health Insurance reports that 20% of policyholders submit a claim during the year. 15 policyholders are selected randomly. What is the probability that at least 3 of them submitted a claim the previous year?
1. GM533 Weeks 1-6 Checkpoints
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GM533 Week 1 Checkpoint
1. Question : Consider the following data on distances traveled by people to visit
the local amusement park and calculate the relative frequency for the shortest
distance.
375
.150
.500
.300
.333
2. Question : The following is a relative frequency distribution of grades in an
introductory statistics course.
If this was the distribution of 200 students, find the frequency of failures:
12
6
23
46
3
3. Question : A random sample of 12 joggers was asked to keep track and
report the number of miles they ran last week. The responses are:
5.5 7.2 1.6 22.0 8.7 2.8 5.3 3.4 12.5 18.6 8.3 6.6
Compute the three statistics that measure central location.
Mean: 6.9, Median: 8.54
Mean: 6.9, Median: 9.64
Mean: 8.54, Median: 6.9
2. Mean: 7.2, Median: 8.12
Mean: 7.8, Median: 8.34
4. Question : In order to get maintain a 80% minimum, Sara needs to earn at
least a “B” in Statistics. A “B” is defines as a mean test grade of 80 or more.
Below are Sara’s test grades for the course.
56 62 69 82 91 93 98
Sara has one more test to complete, for a total of eight test grades for the course.
What score must Sara achieve on the remaining test to attain a “B” in the
Statistics?
89
91
99
85
94
5. Question : In order to control costs, a company wishes to study the amount of
money its sales force spends entertaining clients. The following is a random
sample of six entertainment expenses (dinner costs for four people) from expense
reports submitted by numbers of the sales force.
$157 $132 $ 109 $145 $125 $139
Calculate Mean, Variance, and Standard Deviation. Assuming that the distribution
on entertainment expenses is approximately normally distributed, calculate
estimate of tolerances interval containing 95.44%.
[117.87, 151.13]
[101.23, 167.77]
[ 84.6, 184.40]
[117.87, 167.77]
[84.6, 151.13]
3. 6. Question : Compute and interpret the Z-score for the $157 entertainment
expense. (Reminder: the six entertainment expenses were: $157 $132 $ 109
$145 $125 $139)
0.35
-2.35
2.35
1.35
-1.35
7. Question : Calculate the first, second, third Quartiles and IQR of the following
data:
10.5 14.7 15.3 17.7 15.9 12.2 10 14.1 13.9 18.5 13.9 15.1 14.7
Q1: 13.9, Q2: 14.7, Q3: 15.3, IQR: 1.40
Q1: 12.1, Q2: 14.3, Q3: 16.1, IQR: 4.00
Q1: 13.1, Q2: 14.0, Q3: 16.3, IQR: 3.20
Q1: 12.6, Q2: 14.8, Q3: 15.7, IQR: 3.10
Q1: 11.9, Q2: 13.7, Q3: 16.3, IQR: 2.45
8. Question : The following table shows the Price-to-Earnings ratio for a Stereo
equipment manufacturing company between 1998 and 2002.
Determine the percentage change in the P/E ratios from 1999 to 2000.
33.97%
31.53%
27.26%
-31.53%
-23.97%
9. Question : According to a survey of the top 10 employers in a major city in the
Midwest, a worker spends an average of 413 minutes a day on the job. Suppose
the standard deviation is 26.8 minutes and the time spent is approximately a
normal distribution.
4. What are the times that approximately 68.26% of all workers will fall?
[332.6, 493.4]
[386.2, 493.4]
[312.6, 539.8]
[346.2, 419.8]
[386.2, 439.8]
10. Question : According to a survey of the top 10 employers in a major city in
the Midwest, a worker spends an average of 413 minutes a day on the job.
Suppose the standard deviation is 26.8 minutes and the time spent is
approximately a normal distribution.
What are the times that approximately 99.73% of all workers will fall?
[332.6, 493.4]
[386.2, 493.4]
[312.6, 539.8]
[346.2, 419.8]
[386.2, 439.8]
GM533 Week 2 Checkpoint
1. Question : Employees of a local university have been classified according to
gender and job type.
If an employee is selected at random what is the probability that the employee is
male?
.667
.367
.333
.500
.917
2. Question : Employees of a local university have been classified according to
gender and job type.
5. If an employee is selected at random what is the probability that the employee is
female given that the employee is a salaried member of staff?
.167
.500
.625
.267
.375
3. Question : Joe is considering pursuing an MBA degree. He has applied to two
different universities. The acceptance rate for applicants with similar qualifications
is 25% for University A and 40% for University B.
What is the probability that Joe will not be accepted at either university?
0.75
0.45
0.90
0.65
0.60
4. Question : In a report on high school graduation, it was stated that 85% of
high school students graduate. Suppose 3 high school students are randomly
selected from different schools.
What is the probability that all graduate?
0.85
0.947
0.614
0.283
0.003
5. Question : A pharmaceutical company has determined that if a new
cholesterol-reducing drug is manufactured (introduced to the market), the
6. following probability distribution will describe this drug's contribution to the
company's profits during the next six months.
The company management has decided to market this product if the expected
contribution to profit for the next six months is more than $90,000. Based on the
information given above, should the company begin manufacturing the new drug?
Yes, begin manufacturing
No, don't begin manufacturing
6. Question : A large disaster cleaning company estimates that 30% of the jobs
it bids on are finished within the bid time. Looking at a random sample of 8 jobs
that is has contracted:
Calculate the mean number of jobs completed within the bid time.
4.0
2.4
2.0
5.6
7. Question : Your company's internal auditor believes that 10% of the
company's invoices contain errors. To check this theory, 20 invoices are randomly
selected and 5 are found to have errors.
What is the probability that of the 20 invoices written, five or more would contain
errors if the theory is valid?
.0433
.0319
.9567
.8660
8. Question : An important part of the customer service responsibilities of a
cable company relates to the speed with which trouble in service can be repaired.
Historically, the data show that the likelihood is 0.75 that troubles in a residential
service can be repaired on the same day. For the first five troubles reported on a
given day, what is the probability that: Fewer than two troubles will be repaired on
the same day?
.6328
7. .0010
.0156
.0146
9. Question : In a study conducted by a local university, it was found that 25% of
college freshmen support increased military spending. If 6 college freshmen are
randomly selected, find the probability that:
Fewer than 4 support increased military spending
.0330
.7844
.9624
.9954
10. Question : A multiple-choice test has 30 questions and each one has five
possible answers, of which one is correct. If all answers were guesses, find the
probability of getting exactly four correct answers.
.0604
.1325
.2552
.8000
GM533 Week 3 Checkpoint
1. Question : The population of lengths of aluminum-coated steel sheets is
normally distributed with a mean of 30.05 inches and a standard deviation of 0.2
inches.
What is the probability that a sheet selected at random will be less than 29.75
inches long?
.8944
.1056
.9332
.066
8. 2. Question : The population of lengths of aluminum-coated steel sheets is
normally distributed with a mean of 30.05 inches and a standard deviation of 0.2
inches.
What is the probability that a sheet selected at random from the population is
between 29.75 and 30.5 inches long?
.4332
.4878
.0546
.9210
3. Question : During the past six months, 73.2% of US households purchased
sugar. Assume that these expenditures are approximately normally distributed
with a mean of $8.22 and a standard deviation of $1.10.
Find the probability that a household spent less than $5.00.
.9983
0.000
1.00
0.0017
4. Question : During the past six months, 73.2% of US households purchased
sugar. Assume that these expenditures are approximately normally distributed
with a mean of $8.22 and a standard deviation of $1.10. What proportion of the
households spent between $5.00 and $9.00?
.7611
.7628
.0017
.7594
5. Question : The population of lengths of aluminum-coated steel sheets is
normally distributed with a mean of 30.05 inches and a standard deviation of 0.2
inches. A sample of four metal sheets is randomly selected from a batch. What is
the probability that the average length of a sheet is between 30.25 and 30.35
inches long?
9. .9773
.0227
.0386
.0215
6. Question : The chief chemist for a major oil/gasoline production company
claims that the regular unleaded gasoline produced by the company contains on
average 4 ounces of a certain ingredient. The chemist further states that the
distribution of this ingredient per gallon of regular unleaded gasoline is normal
and has a standard deviation of 1.2 ounces. What is the probability of finding an
average in excess of 4.3 ounces of this ingredient from randomly inspected 100
gallons of regular unleaded gasoline?
.5987
.4013
.9938
.0062
7. Question : In the upcoming governor's election, the most recent poll based on
900 respondents predicts that the incumbent will be reelected with 55% of the
votes. For the sake of argument, assume that 51% of the actual voters in the
state support the incumbent governor (). Calculate the probability of observing a
sample proportion of voters 0.55 or higher supporting the incumbent governor.
.0166
.0247
.0082
.9918
8. Question : According to a hospital administrator, historical records over the
past 10 years have shown that 20% of the major surgery patients are dissatisfied
with after-surgery care in the hospital. A scientific poll based on 400 hospital
patients has just been conducted.
What is the probability that less than 64 patients will not be satisfied with the
after-surgery care?
47.72%
10. 2.28%
97.72%
95.44%
4.56%
GM533 Week 4 Checkpoint
1. Question : An environmental group at a local college is conducting
independent tests to determine the distance a particular make of automobile will
travel while consuming only 1 gallon of gas. A sample of five cars is tested and a
mean of 28.2 miles is obtained. Assuming that the sample standard deviation is
2.7 miles, find the 95% confidence interval for the mean distance traveled by all
such cars using 1 gallon of gas.
[26.16 30.24]
[20.70 35.70]
[24.85 31.55]
[26.70 29.70]
[25.83 30.57]
2. Question : A random sample of size 30 from a normal population yields =
32.8 with a population standard deviation of 4.51. Construct a 95 percent
confidence interval for .
[23.96 41.64]
[32.04 33.56]
[31.45 34.15]
[31.19 34.41]
3. Question : In a manufacturing process a random sample of 36 bolts
manufactured has a mean length of 3 inches with a standard deviation of .3
inches. What is the 99% confidence interval for the true mean length of the bolt?
2.902 to 3.098
2.884 to 3.117
2.865 to 3.136
11. 2.228 to 3.772
2.465 to 3.205
4. Question : A federal bank examiner is interested in estimating the mean
outstanding defaulted loans balance of all defaulted loans over the last three
years. A random sample of 20 defaulted loans yielded a mean of $67,918 with a
standard deviation of $16,552.40. Calculate a 90% confidence interval for the
mean balance of defaulted loans over the past three years.
[66,487 69,349]
[39,299 96,537]
[57,329 78,507]
[61,829 74,007]
[61,519 74,317]
5. Question : Unoccupied seats on flights cause airlines to lose revenue.
Suppose a large airline wants to estimate its average number of unoccupied
seats per flight over the past year. 225 flight records are randomly selected and
the number of unoccupied seats is noted with a sample mean of 11.6 seats and a
standard deviation of 4.1 seats. How many flights should we select if we wish to
estimate to within 2 seats and be 95% confident?
130
65
33
17
12
6. Question : The coffee/soup machine at the local bus station is supposed to fill
cups with 6 ounces of soup. Ten cups of soup are brought with results of a mean
of 5.93 ounces and a standard deviation of 0.13 ounces. How large a sample of
soups would we need to be 95% confident that the sample mean is within 0.03
ounces of the population mean?
97
90
73
12. 62
10
7. Question : Recently, a case of food poisoning was traced to a particular
restaurant chain. The source was identified and corrective actions were taken to
make sure that the food poisoning would not reoccur. Despite the response from
the restaurant chain, many consumers refused to visit the restaurant for some
time after the event. A survey was conducted three months after the food
poisoning occurred with a sample of 319 patrons contacted. Of the 319
contacted, 29 indicated that they would not go back to the restaurant because of
the potential for food poisoning Construct a 95% confidence interval for the true
proportion of the market who still refuse to visit any of the restaurants in the chain
three months after the event.
[.059 .122]
[.090 .091]
[.000 .196]
[.240 .339]
[.118 .244]
8. Question : The Ohio Department of Agriculture tested 203 fuel samples
across the state in 1999 for accuracy of the reported octane level. For premium
grade, 14 out of 105 samples failed (they didn't meet ASTM specification and the
FTC Octane posting rule). Find a 99% confidence interval for the true population
proportion of premium grade fuel-quality failures.
[.045 .221]
[.068 .198]
[.023 .115]
[.048 .219]
[.100 .276]
9. Question : Recently, a case of food poisoning was traced to a particular
restaurant chain. The source was identified and corrective actions were taken to
make sure that the food poisoning would not reoccur. Despite the response from
the restaurant chain, many consumers refused to visit the restaurant for some
time after the event. A survey was conducted three months after the food
poisoning occurred with a sample of 319 patrons contacted. Of the 319
contacted, 29 indicated that they would not go back to the restaurant because of
13. the potential for food poisoning. What sample size would be needed in order to be
99% confident that the sample proportion is within .02 of , the true proportion of
customers who refuse to go back to the restaurant?
14
38
129
1,373
1,777
10. Question : The Ohio Department of Agriculture tested 203 fuel samples
across the state in 1999 for accuracy of the reported octane level. For premium
grade, 14 out of 105 samples failed (they didn't meet ASTM specification and the
FTC Octane posting rule). How many samples would be needed to create a 99%
confidence interval that is within 0.02 of the true proportion of premium grade
fuel-quality failures?
4148
2838
1877
744
54
GM533 Week 5 Checkpoint
Complete Exercise 9.13 (The Video Game Satisfaction Case) on page 357 in
your textbook.
Complete Exercise 9.19 on page 358 in your textbook
Complete Exercise 9.29 (The Video Game Satisfaction Rating Case) on page 362
in your textbook.
Complete Exercise 9.31 on page 362 in your textbook.
Complete Exercise 9.42 on page 367 in your textbook
GM533 Week 6 Checkpoint
Complete Exercise 13.8 (The Real Estate Case) on page 503 in your textbook
14. Complete Exercise 13.21 (The Starting Salary) on page 511 in your textbook.
Complete Exercise 13.30 (The Fuel Consumption Case) on page 518 in your
textbook
Complete Exercise 13.53 (The Fresh Detergent Case) on page 529 in your
textbook