SOLUTION MANUAL
All Chapters Included
ELEMENTARY STATISTICS :
PICTURING THE WORLD
S IXTH E DITION
Ron Larson
Pennsylvania State University
Betsy Farber
Bucks County Community College
,CONTENTS
CONTENTS
Chapter 1 Introduction to Statistics 1
Chapter 2 Descriptive Statistics 15
Chapter 3 Probability 103
Chapter 4 Discrete Probability Distributions 134
Chapter 5 Normal Probability Distributions 163
Chapter 6 Confidence Intervals 212
Chapter 7 Hypothesis Testing with One Sample 237
Chapter 8 Hypothesis Testing with Two Samples 281
Chapter 9 Correlation and Regression 322
Chapter 10 Chi-Square Tests and the F-Distribution 369
Chapter 11 Nonparametric Tests 419
Appendix A Alternative Presentation of the 464
Standard Normal Distribution
Appendix C Normal Probability Plots and 465
Their Graphs
Activities 467
Case Studies 471
Uses and Abuses 491
Real Statistics−Real Decisions 495
Technology 505
, CHAPTER
Introduction to Statistics
1
1.1 AN OVERVIEW OF STATISTICS
1.1 Try It Yourself Solutions
1a. The population consists of the prices per gallon of regular gasoline at all gasoline
stations in the United States. The sample consists of the prices per gallon of regular
gasoline at the 800 surveyed stations.
b. The data set consists of the 800 prices.
2a. Because the numerical measure of $5,150,694 is based on the entire collection of
employee’s salaries, it is from a population.
b. Because the numerical measure is a characteristic of a population, it is a parameter.
3a. Descriptive statistics involve the statement “31% support their kids financially
until they graduate college and 6% provide financial support until they start
college.”
b. An inference drawn from the survey is that a higher percentage of parents support
their kids financially until they graduate college.
1.1 EXERCISE SOLUTIONS
1. A sample is a subset of a population.
2. It is usually impractical (too expensive and/or time consuming) to obtain all the population
data.
3. A parameter is a numerical description of a population characteristic. A statistic
is a numerical description of a sample characteristic.
4. The two main branches of statistics are descriptive statistics and inferential statistics.
5. False. A statistic is a numerical measure that describes a sample characteristic.
6. True
7. True
8. False. Inferential statistics involves using a sample to draw conclusions about a population.
9. False. A population is the collection of all outcomes, responses, measurements, or
counts that are of interest.
, 10. False. A sample statistic can differ from sample to sample.
1
All Chapters Included
ELEMENTARY STATISTICS :
PICTURING THE WORLD
S IXTH E DITION
Ron Larson
Pennsylvania State University
Betsy Farber
Bucks County Community College
,CONTENTS
CONTENTS
Chapter 1 Introduction to Statistics 1
Chapter 2 Descriptive Statistics 15
Chapter 3 Probability 103
Chapter 4 Discrete Probability Distributions 134
Chapter 5 Normal Probability Distributions 163
Chapter 6 Confidence Intervals 212
Chapter 7 Hypothesis Testing with One Sample 237
Chapter 8 Hypothesis Testing with Two Samples 281
Chapter 9 Correlation and Regression 322
Chapter 10 Chi-Square Tests and the F-Distribution 369
Chapter 11 Nonparametric Tests 419
Appendix A Alternative Presentation of the 464
Standard Normal Distribution
Appendix C Normal Probability Plots and 465
Their Graphs
Activities 467
Case Studies 471
Uses and Abuses 491
Real Statistics−Real Decisions 495
Technology 505
, CHAPTER
Introduction to Statistics
1
1.1 AN OVERVIEW OF STATISTICS
1.1 Try It Yourself Solutions
1a. The population consists of the prices per gallon of regular gasoline at all gasoline
stations in the United States. The sample consists of the prices per gallon of regular
gasoline at the 800 surveyed stations.
b. The data set consists of the 800 prices.
2a. Because the numerical measure of $5,150,694 is based on the entire collection of
employee’s salaries, it is from a population.
b. Because the numerical measure is a characteristic of a population, it is a parameter.
3a. Descriptive statistics involve the statement “31% support their kids financially
until they graduate college and 6% provide financial support until they start
college.”
b. An inference drawn from the survey is that a higher percentage of parents support
their kids financially until they graduate college.
1.1 EXERCISE SOLUTIONS
1. A sample is a subset of a population.
2. It is usually impractical (too expensive and/or time consuming) to obtain all the population
data.
3. A parameter is a numerical description of a population characteristic. A statistic
is a numerical description of a sample characteristic.
4. The two main branches of statistics are descriptive statistics and inferential statistics.
5. False. A statistic is a numerical measure that describes a sample characteristic.
6. True
7. True
8. False. Inferential statistics involves using a sample to draw conclusions about a population.
9. False. A population is the collection of all outcomes, responses, measurements, or
counts that are of interest.
, 10. False. A sample statistic can differ from sample to sample.
1
