This document provides a practice exam for a quantitative methods (QNT 351) course, including 20 multiple choice questions covering topics such as hypothesis testing, confidence intervals, normal distributions, and other statistical concepts. The questions assess understanding of statistical terminology, calculations, and procedures.
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
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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
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
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
FOR MORE CLASSES VISIT
www.qnt351paper.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 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.
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
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?
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?
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.
QNT 275 FINAL EXAM NEW 2016
Buy Solutions: http://hwsoloutions.com/downloads/qnt-275-final-exam-new-2016/
What is the name of the variable that’s used to predict another variable?
Explanatory
Standard error of the estimate
Response
Coefficient of determination
Professors at a local university earn an average salary of $80000 with a standard deviation of $6000. The salary distribution is approximately bell-shaped. What can be said about the percentage of salaries that are at least $74,000?
About 97.5 percent
About 84 percent
About 68 percent
About 95 percent
What type of relationship is indicated in the scatterplot?
A positive linear or curvilinear relationship
No relationship
A negative curvilinear relationship
A negative linear relationship
The study of statistics can be defined as:
the art and science of getting information from data.
All of the answers
the language of data.
the study of collecting, analyzing, presenting, and interpreting data.
In the accompanying stem-and-leaf diagram the values in the stem and leaf portions represent 10s and 1s digits, respectively.
The stem-and-leaf diagram shows that the distribution is ___________.
symmetric
positively skewed
negatively skewed
None of the ans
For more course tutorials visit
uophelp.com is now newtonhelp.com
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______
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?
For more classes visit
www.snaptutorial.com
1) The main purpose of descriptive statistics is to
2) The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
3) The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
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.
Exam 1 (covers Chapters 1-7)Math 140Show all work! Na.docxSANSKAR20
Exam 1 (covers Chapters 1-7)
Math 140
Show all work! Name:______________________________
Seat number:____________________________
Papers without name and/or seating number will loose 10 points of total possible. Write your complete name and seat number now. Each problem or part has 5 points.
1) Because elderly people may have difficulty standing to have their heights measured, a study looked at predicting overall height from height to the knee. Here are data (in centimeters) for six elderly
Knee height x
57.6
46.4
43.5
44.8
52.2
54.6
Height y
192.1
152.3
146.4
162.7
174.1
177.8
Use your calculator: The correlation between knee height and overall height is about
(a) r =0.08. (b) r =0.89. (c) r =0.74 (d) none of the above
2) The National Association of College and University Business Officers collects data on college endowments. In 2011, 834 colleges and universities reported the value of their endowments. When the endowment values are arranged in order, what are the locations of the median and the quartiles in this ordered list?
Select the correct statement: If a distribution is skewed to the left,
(a) the mean is less than the median.
(b) the mean and median are equal.
(c) the mean is greater than the median.
(d) none of the above
3) A recent study found that consuming more fast food, candy and soda was not correlated with higher body mass index (BMI). This indicates that:
(a) People with higher BMIs tend to consume more fast food than people with lower BMIs
(b) People with higher BMIs tend to consume less fast food than people with lower BMIs
(c) The more fast food a person tends to consume, the higher their BMI tends to be
(d) The more fast food a person tends to consume, the lower their BMI tends to be
(e) None of the above
Use these data for the next two problems: In a usual way to study the brain’s response to sounds is to have subjects listen to pure tones. They fed pure tone and also monkey calls directly to their brains by inserting electrodes.
neuron
1
2
3
4
5
6
7
8
9
10
11
12
tone
474
256
241
226
185
174
176
168
161
150
19
20
call
500
138
485
338
194
159
341
85
303
208
66
54
neuron
13
14
15
16
17
18
19
20
tone
35
145
141
129
113
112
102
100
call
103
42
241
194
123
182
141
118
4) We might expect some neurons to have strong responses to any stimulus and others to have consistently weak responses. There would then be a strong relationship between tone response and call response. From the scatterplot of monkey call response against pure-tone response what would you estimate the correlation r to be?
(a) -0.6 (b) -0.1 (c) 0.1 (d) 0.6
5) Which of the following statements about the scatterplot given above is correct?
(a) There is moderate evidence that pure-tone response cause monkey call response.
(b) There is moderate evidence that monkey call response cause pure-tone response.
(c) There are one or two outliers, and at least one of these may also be influential.
(d) None of the ab ...
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.
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
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?
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?
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.
QNT 275 FINAL EXAM NEW 2016
Buy Solutions: http://hwsoloutions.com/downloads/qnt-275-final-exam-new-2016/
What is the name of the variable that’s used to predict another variable?
Explanatory
Standard error of the estimate
Response
Coefficient of determination
Professors at a local university earn an average salary of $80000 with a standard deviation of $6000. The salary distribution is approximately bell-shaped. What can be said about the percentage of salaries that are at least $74,000?
About 97.5 percent
About 84 percent
About 68 percent
About 95 percent
What type of relationship is indicated in the scatterplot?
A positive linear or curvilinear relationship
No relationship
A negative curvilinear relationship
A negative linear relationship
The study of statistics can be defined as:
the art and science of getting information from data.
All of the answers
the language of data.
the study of collecting, analyzing, presenting, and interpreting data.
In the accompanying stem-and-leaf diagram the values in the stem and leaf portions represent 10s and 1s digits, respectively.
The stem-and-leaf diagram shows that the distribution is ___________.
symmetric
positively skewed
negatively skewed
None of the ans
For more course tutorials visit
uophelp.com is now newtonhelp.com
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______
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?
For more classes visit
www.snaptutorial.com
1) The main purpose of descriptive statistics is to
2) The general process of gathering, organizing, summarizing, analyzing, and interpreting data is called
3) The performance of personal and business investments is measured as a percentage, return on investment. What type of variable is return on investment?
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.
Exam 1 (covers Chapters 1-7)Math 140Show all work! Na.docxSANSKAR20
Exam 1 (covers Chapters 1-7)
Math 140
Show all work! Name:______________________________
Seat number:____________________________
Papers without name and/or seating number will loose 10 points of total possible. Write your complete name and seat number now. Each problem or part has 5 points.
1) Because elderly people may have difficulty standing to have their heights measured, a study looked at predicting overall height from height to the knee. Here are data (in centimeters) for six elderly
Knee height x
57.6
46.4
43.5
44.8
52.2
54.6
Height y
192.1
152.3
146.4
162.7
174.1
177.8
Use your calculator: The correlation between knee height and overall height is about
(a) r =0.08. (b) r =0.89. (c) r =0.74 (d) none of the above
2) The National Association of College and University Business Officers collects data on college endowments. In 2011, 834 colleges and universities reported the value of their endowments. When the endowment values are arranged in order, what are the locations of the median and the quartiles in this ordered list?
Select the correct statement: If a distribution is skewed to the left,
(a) the mean is less than the median.
(b) the mean and median are equal.
(c) the mean is greater than the median.
(d) none of the above
3) A recent study found that consuming more fast food, candy and soda was not correlated with higher body mass index (BMI). This indicates that:
(a) People with higher BMIs tend to consume more fast food than people with lower BMIs
(b) People with higher BMIs tend to consume less fast food than people with lower BMIs
(c) The more fast food a person tends to consume, the higher their BMI tends to be
(d) The more fast food a person tends to consume, the lower their BMI tends to be
(e) None of the above
Use these data for the next two problems: In a usual way to study the brain’s response to sounds is to have subjects listen to pure tones. They fed pure tone and also monkey calls directly to their brains by inserting electrodes.
neuron
1
2
3
4
5
6
7
8
9
10
11
12
tone
474
256
241
226
185
174
176
168
161
150
19
20
call
500
138
485
338
194
159
341
85
303
208
66
54
neuron
13
14
15
16
17
18
19
20
tone
35
145
141
129
113
112
102
100
call
103
42
241
194
123
182
141
118
4) We might expect some neurons to have strong responses to any stimulus and others to have consistently weak responses. There would then be a strong relationship between tone response and call response. From the scatterplot of monkey call response against pure-tone response what would you estimate the correlation r to be?
(a) -0.6 (b) -0.1 (c) 0.1 (d) 0.6
5) Which of the following statements about the scatterplot given above is correct?
(a) There is moderate evidence that pure-tone response cause monkey call response.
(b) There is moderate evidence that monkey call response cause pure-tone response.
(c) There are one or two outliers, and at least one of these may also be influential.
(d) None of the ab ...
QuestionWhich of the following data sets is most likel.docxcatheryncouper
Question
Which of the following data sets is most likely to be normally distributed? For other choices, explain why you believe they would not follow a normal distribution.
The hand span (measured from the tip of the thumb to the tip of the extended 5th finger) of a random sample of high school seniors.
The annual salaries of all employees of a large shipping company
The annual salaries of a random sample of 50 CEOs of major companies (25 men and 25 women)
The dates of 100 pennies taken from a cash drawer in a convenience store
Question
Assume than the mean weight of 1 year old girls in the US is normally distributed with a mean value of 9.5 kg and standard deviation of 1.1. Without using a calculator (use the empirical rule 68 %, 95 %, 99%), estimate the percentage of 1 year old girls in the US that meet the following conditions. Draw a sketch and shade the proper region for each problem…
Less than 8.1 kg
Between 7.3 and 11.7 kg.
More than 12.8 kg.
Question
The grades on a marketing research course midterm are normally distributed with a mean (81) and standard deviation (6.3) . Calculate the z score for each of the following exam grades. Draw and label a sketch for each example.
65
83
93
100
Question
The grades on a marketing research course midterm are normally distributed with a mean (81) and standard deviation (6.3) . Calculate the z score for each of the following exam grades. Draw and label a sketch for each example.
65
83
93
100
Question…
What is the relative frequency of observations below 1.18? That is, find the relative frequency of the event Z < 1.18.
z .00 .01 ... .08 .09
0.0 .5000 .5040 ... .5319 .5359
0.1 .5398 .5438 ... .5714 .5753
... ... ... ... ... ...
1.0 .8413 .8438 ... .8599 .8621
1.1 .8643 .8665 ... .8810 8830
1.2 .8849 .8869 ... .8997 .9015
... ... ... ... ... ...
Question
Find the value z such that the event Z > z has relative frequency 0.80.
Question
For borrowers with good credits the mean debt for revolving and installment accounts is $ 15, 015. Assume the standard deviation is $3,540 and that debt amounts are normally distributed.
What is the probability that the debt for a borrower with good credit is more than $ 18,000.
Question
The average stock price for companies making up the S&P 500 is $30, and the standard deviation is $ 8.20. Assume the stock prices are normally distributed.
How high does a stock price have to be to put a company in the top 10 % … ?
Question
The scores on a statewide geometry exam were normally distributed with μ=72 and σ=8. What fraction of test-takers had a grade between 70 and 72 on the exam? Use the cumulative z-table provided below.
z. 00 .01 .02. 03. 04. 05. 06. 07 .08 .09
0.00. 50000 .50400 .50800 .51200 .51600 .51990 .52390 .52790 .53190 .5359
0.10. 53980 .54380 .54780 .55170 .55570 .55960 .56360 .56750 .57140 .5753
0.20. 57930 .58320 .58710 .59100 .59480 .59870 .60260 .60640 .61 ...
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This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
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.
Home assignment II on Spectroscopy 2024 Answers.pdf
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QNT 351 FINAL EXAM NEW 2016
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
?z test for two population means
?t test for two population means
QNT 351 FINAL EXAM NEW APRIL 2016 VERSION
An 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?
?.200
?.708
?.250
?.602
A research firm conducted a survey to determine the mean amount steady smokers spend on cigarettes during a week. A
sample of 64 smokers revealed that ? = $20 and S = $5. What is the 95% confidence interval for ?? ?
?$18.78 to $21.23
?18.16 to 21.84
?$18.60 to $21.40
3. ?18.37 to 21.63
QNT 351 FINAL EXAM NEW APRIL 2016 VERSION
When a class interval is expressed as 100 up to 200, _________________________. ?
?Observations with values of 200 are included in the class
?Observations with values of 200 are excluded from the class
?Observations with values of 100 are excluded from the class
?The class interval is 99
A group of women tried five brands of fingernail polish and ranked them according to preference. What level of
measurement is this? ?
?Ordinal
?Nominal
?Interval
?Ratio
A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of
decaffeinated-coffee drinkers. A random sample of 50 regular-coffee drinkers showed a mean of 4.35 cups per day, with a
standard deviation of 1.2 cups per day. A sample of 40 decaffeinated coffee drinkers showed a mean of 5.84 cups per day,
with a standard deviation of 1.36 cups per day. What is your computed z-statistic??
?z = -2.45
?z = -5.44
?z = -1.81
?z = – 3.90
A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of
seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds.
What is the alternate hypothesis? ?
?H1: µ ? 6.6
?H1: µ ? 6.6
?H1: µ > 7.6
?H1: µ = 6.6
As the size of the sample increases, what happens to the shape of the distribution of sample means? ?
?It approaches a normal distribution.
4. ?It cannot be predicted in advance.
?It is positively skewed.
?It is negatively skewed.
You perform a hypothesis test at the .05 level of significance. Your computed p-value turns out to .042. What is your
decision about the hypothesis?
?You would reject Ho
?You would accept Ho
?You would accept Ho if it is a two-tailed test, but reject Ho if a one-tailed test
?You can’t render a decision unless you know the computed test statistic
University officials say that at least 70% of the voting student population supports a fee increase. If the 95% confidence
interval estimating the proportion of students supporting the fee increase is [0.75, 0.85], what conclusion can be drawn? ?
?Since this was not based on the population, no conclusion can be drawn.
?Seventy percent is not in the interval, so assume it will not be supported.
?The interval estimate is above 70%, so infer that it will be supported.
?Seventy percent is not in the interval, so another sample is needed.
The mean of a normal distribution is 400 pounds. The standard deviation is 10 pounds. What is the probability of a weight
between 415 pounds and the mean of 400 pounds?
?0.3413
?0.5000
?0.4332
?0.1932
The MacBurger restaurant chain claims that the waiting time of customers for service is normally distributed, with a mean
of 3 minutes and a standard deviation of 1 minute. The quality-assurance department found in a sample of 50 customers at
the Warren Road MacBurger that the mean waiting time was 2.75 minutes. When you perform a test of hypothesis, what
would be the resulting p-value? ?
?.0586
?.0384
?.0471
?.0512
5. The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a mean of 60,000 miles
and a standard deviation of 4,000 miles. Suppose you bought a set of four tires, what is the likelihood the mean tire life of
these four tires is between 57,000 and 63,000 miles?
?1.00
?Very likely
?0.4332
?0.8664
In a distribution, the second quartile corresponds with the __________.?
?Variance
?Mode
?Median
?Mean
A group of 100 students was surveyed about their interest in a new International Studies program. Interest was measured in
terms of high, medium, or low. In the study, 30 students responded high interest, 40 students responded medium interest,
and 30 students responded low interest. What is the relative frequency of students with high interest? ?
?.40
?.30
?.030
?.50
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?
Day Rounds
Monday 124
Tuesday 74
Wednesday 104
Thursday 98
Friday 120
?No, because ?2 = 11.793
?Yes, because ?2 = 15.308
?No, because ?2 = 7.715
?Yes, because ?2 = 12.288
Which approach to probability assumes that the events are equally likely??
?Empirical
6. ?Mutually exclusive
?Classical
?Subjective
Sales at a fast-food restaurant average $6000 per day. The restaurant decided to introduce an advertising campaign to
increase daily sales. To determine the effectiveness of the advertising campaign, a sample of 49 days of sales was taken. It
found that the average daily sales were $6,400 per day. From past history, the restaurant knew that its population standard
deviation is about $1,000. The value of the test statistic is _______. ?
?1.96
?6,000
?6,400
?2.8
A study by the National Park Service revealed that 50% of the vacationers going to the Rocky Mountain region visit
Yellowstone Park, 40% visit the Grand Tetons, and 35% visit both. What is the probability that a vacationer will visit at
least one of these magnificent attractions?
?0.35
?0.55
?0.95
?0.05
The ages of all the patients in the isolation ward of the hospital are 38, 26, 13, 41, and 22. What is the population standard
deviation? ?
?6.92
?10.33
?15.85
?9.26
The distribution of a sample of the outside diameters of PVC pipes approximates a symmetrical, bell-shaped distribution.
The arithmetic mean is 14.0 inches, and the standard deviation is 0.1 inches. About 68% of the outside diameters lie
between what two amounts? ?
?13.5 and 14.5 inches
?13.9 and 14.1 inches
?13.0 and 15.0 inches
?13.8 and 14.2 inches
7. 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 that the economy is expanding? Last month, of the 300 responses, 160
answered “yes” to the question. This month, 170 of the 290 responses indicated that the economy is expanding. If you’re
testing to find if a larger proportion of agents believe that the economy is expanding this month, what is your computed test
statistic?
?z = -1.29
?t = -1.25
?t = -1.07
?z = -1.11
The first card selected from a standard 52-card deck was a king. If it is returned to the deck, what is the probability that a
king will be drawn on the second selection?
?1/3 or 0.33
?1/13 or 0.077
?1/4 or 0.25
?12/13 or 0.923
What is the range of values for a coefficient of correlation?
?Unlimited range
?0 to +1.0
?-1.0 to +1.0 inclusive
?-3 to +3 inclusive
Consider the following regression analysis between sales (Y in $1000) and social media advertising (X in dollars). =
55,000 + 7X
The regression equation implies that an:
??increase of $1 in advertising is associated with an increase of $7,000 in sales.
?increase of $1 in advertising is associated with an increase of $62,000 in sales.
?increase of $7 in advertising is associated with an increase of $7,000 in sales.
?increase of $1 in advertising is associated with an increase of $7 in sales.
When statisticians analyze sample data in order to draw conclusions about the characteristics of a population, this is
referred to as: ?
?Descriptive statistics
?Data summarization
8. ?Statistical inference
?Data analysis
What is the median of 26, 30, 24, 32, 32, 31, 27, and 29? ?
?32
?29.5
?30
?29
An example of a qualitative variable is _________________. ?
?Weight of a person
?Miles between oil changes
?Number of children in a family
?Color of ink in a pen
Which of the following is true regarding the normal distribution? ?
?It has two modes.
?The points of the curve meet the x-axis at z = -3 and z = 3.
?It is asymmetrical.
?The mean, median, and mode are all equal.