INSTRUCTOR’S
SOLUTIONSMANUAL
AS A
S
NANCY S. BOUDREAU AND JAY SCHAFFER
AS AS AS AS AS
ELEMENTARY STATISTICS : AS
P ICTURING THE WORLD
AS AS AS
SIXTH E DITION A S
Ron Larson
as
Pennsylvania State University
as as
Betsy Farber as
Bucks County Community College
as as as
,CONTENTS
CONTENTS
Chapter 1 as Introduction to Statistics
as as 1
Chapter 2 as Descriptive Statistics a s 15
Chapter 3 as Probability 103
Chapter 4 as Discrete Probability Distributions
a s a s 134
Chapter 5 as Normal Probability Distributions
a s a s 163
Chapter 6 as Confidence Intervals a s 212
Chapter 7 as Hypothesis Testing with One Sample
as as as as 237
Chapter 8 as Hypothesis Testing with Two Samples
as as as as 281
Chapter 9 as Correlation and Regression
as as 322
Chapter 10 as Chi-Square Tests and the F-Distribution
as as as as 369
Chapter 11 as Nonparametric Tests a s 419
Appendix A as Alternative Presentation of the Standard
as as as as 464
Normal Distribution
as as
Appendix C as Normal Probability Plots and Their
as as as as 465
Graphs
as
Activities 467
Case Studies
as 471
Uses and Abuses
as as 491
Real Statistics−Real Decisions
a s a s 495
Technology 505
, CHAPTER
Introduction to Statistics as as
1
1.1 AN OVERVIEW OF STATISTICS as as as as
1.1 Try It Yourself Solutions as as as
1a. The population consists of the prices per gallon of regular gasoline at all gasoline stations in
a s as as as as as as as as as as as as as as as
the United States. The sample consists of the prices per gallon of regular gasoline at the 800
as as as as as as as as as as as as as as as as as
surveyed stations.
as as
b. The data set consists of the 800 prices.
as as as as as as as as
2a. Because the numerical measure of $5,150,694 is based on the entire collection of employee’s
a s as as as as as as as as as as as as as
salaries, it is from a population.
as as as as as as
b. Because the numerical measure is a characteristic of a population, it is a parameter.
as as as as as as as as as as as as as as
3a. Descriptive statistics involve the statement ―31% support their kids financially until they
as as as as as as as as as as as as
graduate college and 6% provide financial support until they start college.‖
as as as as as as as as as as as
b. An inference drawn from the survey is that a higher percentage of parents support their kids
as as as as as as as as as as as as as as as as
financially until they graduate college.
as as as as as
1.1 EXERCISE SOLUTIONS as
1. A sample is a subset of a population.
as as as as as as as
2. It is usually impractical (too expensive and/or time consuming) to obtain all the population data.
as as as as as as as as as as as as as as
3. A parameter is a numerical description of a population characteristic. A statistic is a
as as as as as as as as as as as as as
numerical description of a sample characteristic.
as as as as as as
4. The two main branches of statistics are descriptive statistics and inferential statistics.
as as as as as as as as as as as
5. False. A statistic is a numerical measure that describes a sample characteristic.
as as as as as as as as as as as
6. True
7. True
8. False. Inferential statistics involves using a sample to draw conclusions about a population.
as as as as as as as as as as as as
9. False. A population is the collection of all outcomes, responses, measurements, or counts that
as as as as as as as as as as as as as
are of interest.
as as as
10. False. A sample statistic can differ from sample to sample.
as as as as as as as as as
1
, 2 CHAPTER 1 │ as a s a s INTRODUCTION TO as
STATISTICS
11. The data set is a population because it is a collection of the revenue of each of the 30
as as as as as as as as as as as as as as as as as as
companies in the Dow Jones Industrial Average.
as as as as as as as
12. The data set is a population because it is a collection of the energy collected from all the
as as as as as as as as as as as as as as as as as
wind turbines on the wind farm.
as as as as as as
13. The data set is a sample because the collection of the 500 spectators is a subset within
as as as as as as as as as as as as as as as as
the population of the stadium’s 42,000 spectators.
as as as as as as as
14. The data set is a population because it is a collection of the annual salaries of all pharmacists at
as as as as as as as as as as as as as as as as as as
a pharmacy.
as as
15. The data set is a sample because the collection of the 20 patients is a subset of the population
as as as as as as as as as as as as as as as as as as
of 100 patients at the hospital.
as as as as as as
16. The data set is a population because it is a collection of the number of televisions in all
as as as as as as as as as as as as as as as as as
U.S. households.
as as
17. The data set is a population because it is a collection of all the golfers’ scores in the tournament.
as as as as as as as as as as as as as as as as as as
18. The data set is a sample because only the age of every third person entering the clothing store
as as as as as as as as as as as as as as as as as
is recorded.
as as
19. The data set is a population because it is a collection of all the U.S. presidents’ political parties.
as as as as as as as as as as as as as as as as as
20. The data set is a sample because the collection of the 10 soil contamination levels is a subset
as as as as as as as as as as as as as as as as as
of the population.
as as as
21. Population: Parties of registered voters in Warren County
as as as as as as as
Sample: Parties of Warren County voters responding to online survey
as as as as as as as as as
22. Population: All students who donate at a blood drive as as as as as as as as
as Sample: The students who donate and have type O+
as as as as as as as as
blood
as
23. Population: Ages of adults in the United States who own cell phones
as as as as as as as as as as as
as Sample: Ages of adults in the United States who own Samsung cell
as as as as as as as as as as as
as phones
24. Population: Incomes of all homeowners in Texas as as as as as as
Sample: Incomes of homeowners in Texas with mortgages
as as as as as as as
25. Population: Collection of the responses of all adults in the United States
as as as as as as as as as as as
as Sample: Collection of the responses of the 1015 U.S. adults surveyed
as as as as as as as as as as
SOLUTIONSMANUAL
AS A
S
NANCY S. BOUDREAU AND JAY SCHAFFER
AS AS AS AS AS
ELEMENTARY STATISTICS : AS
P ICTURING THE WORLD
AS AS AS
SIXTH E DITION A S
Ron Larson
as
Pennsylvania State University
as as
Betsy Farber as
Bucks County Community College
as as as
,CONTENTS
CONTENTS
Chapter 1 as Introduction to Statistics
as as 1
Chapter 2 as Descriptive Statistics a s 15
Chapter 3 as Probability 103
Chapter 4 as Discrete Probability Distributions
a s a s 134
Chapter 5 as Normal Probability Distributions
a s a s 163
Chapter 6 as Confidence Intervals a s 212
Chapter 7 as Hypothesis Testing with One Sample
as as as as 237
Chapter 8 as Hypothesis Testing with Two Samples
as as as as 281
Chapter 9 as Correlation and Regression
as as 322
Chapter 10 as Chi-Square Tests and the F-Distribution
as as as as 369
Chapter 11 as Nonparametric Tests a s 419
Appendix A as Alternative Presentation of the Standard
as as as as 464
Normal Distribution
as as
Appendix C as Normal Probability Plots and Their
as as as as 465
Graphs
as
Activities 467
Case Studies
as 471
Uses and Abuses
as as 491
Real Statistics−Real Decisions
a s a s 495
Technology 505
, CHAPTER
Introduction to Statistics as as
1
1.1 AN OVERVIEW OF STATISTICS as as as as
1.1 Try It Yourself Solutions as as as
1a. The population consists of the prices per gallon of regular gasoline at all gasoline stations in
a s as as as as as as as as as as as as as as as
the United States. The sample consists of the prices per gallon of regular gasoline at the 800
as as as as as as as as as as as as as as as as as
surveyed stations.
as as
b. The data set consists of the 800 prices.
as as as as as as as as
2a. Because the numerical measure of $5,150,694 is based on the entire collection of employee’s
a s as as as as as as as as as as as as as
salaries, it is from a population.
as as as as as as
b. Because the numerical measure is a characteristic of a population, it is a parameter.
as as as as as as as as as as as as as as
3a. Descriptive statistics involve the statement ―31% support their kids financially until they
as as as as as as as as as as as as
graduate college and 6% provide financial support until they start college.‖
as as as as as as as as as as as
b. An inference drawn from the survey is that a higher percentage of parents support their kids
as as as as as as as as as as as as as as as as
financially until they graduate college.
as as as as as
1.1 EXERCISE SOLUTIONS as
1. A sample is a subset of a population.
as as as as as as as
2. It is usually impractical (too expensive and/or time consuming) to obtain all the population data.
as as as as as as as as as as as as as as
3. A parameter is a numerical description of a population characteristic. A statistic is a
as as as as as as as as as as as as as
numerical description of a sample characteristic.
as as as as as as
4. The two main branches of statistics are descriptive statistics and inferential statistics.
as as as as as as as as as as as
5. False. A statistic is a numerical measure that describes a sample characteristic.
as as as as as as as as as as as
6. True
7. True
8. False. Inferential statistics involves using a sample to draw conclusions about a population.
as as as as as as as as as as as as
9. False. A population is the collection of all outcomes, responses, measurements, or counts that
as as as as as as as as as as as as as
are of interest.
as as as
10. False. A sample statistic can differ from sample to sample.
as as as as as as as as as
1
, 2 CHAPTER 1 │ as a s a s INTRODUCTION TO as
STATISTICS
11. The data set is a population because it is a collection of the revenue of each of the 30
as as as as as as as as as as as as as as as as as as
companies in the Dow Jones Industrial Average.
as as as as as as as
12. The data set is a population because it is a collection of the energy collected from all the
as as as as as as as as as as as as as as as as as
wind turbines on the wind farm.
as as as as as as
13. The data set is a sample because the collection of the 500 spectators is a subset within
as as as as as as as as as as as as as as as as
the population of the stadium’s 42,000 spectators.
as as as as as as as
14. The data set is a population because it is a collection of the annual salaries of all pharmacists at
as as as as as as as as as as as as as as as as as as
a pharmacy.
as as
15. The data set is a sample because the collection of the 20 patients is a subset of the population
as as as as as as as as as as as as as as as as as as
of 100 patients at the hospital.
as as as as as as
16. The data set is a population because it is a collection of the number of televisions in all
as as as as as as as as as as as as as as as as as
U.S. households.
as as
17. The data set is a population because it is a collection of all the golfers’ scores in the tournament.
as as as as as as as as as as as as as as as as as as
18. The data set is a sample because only the age of every third person entering the clothing store
as as as as as as as as as as as as as as as as as
is recorded.
as as
19. The data set is a population because it is a collection of all the U.S. presidents’ political parties.
as as as as as as as as as as as as as as as as as
20. The data set is a sample because the collection of the 10 soil contamination levels is a subset
as as as as as as as as as as as as as as as as as
of the population.
as as as
21. Population: Parties of registered voters in Warren County
as as as as as as as
Sample: Parties of Warren County voters responding to online survey
as as as as as as as as as
22. Population: All students who donate at a blood drive as as as as as as as as
as Sample: The students who donate and have type O+
as as as as as as as as
blood
as
23. Population: Ages of adults in the United States who own cell phones
as as as as as as as as as as as
as Sample: Ages of adults in the United States who own Samsung cell
as as as as as as as as as as as
as phones
24. Population: Incomes of all homeowners in Texas as as as as as as
Sample: Incomes of homeowners in Texas with mortgages
as as as as as as as
25. Population: Collection of the responses of all adults in the United States
as as as as as as as as as as as
as Sample: Collection of the responses of the 1015 U.S. adults surveyed
as as as as as as as as as as