**Uh-oh, it looks like your Internet Explorer is out of date.**

For a better shopping experience, please upgrade now.

Introductory Statistics / Edition 8 available in Hardcover, Paperback, Other Format

## Overview

This revised and expanded edition is designed to motivate and challenge students without a strong mathematics background. Filled with real-world examples, step-by-step explanations, quality exercise sets that link applications to concepts and procedures, and sound pedagogy, this text makes statistics interesting and accessible. New features include problems designed for use with the graphing calculator, directions and screen shots for the Windows version of Minitab throughout the text and an increased focus on technology as a teaching tool.

## Product Details

ISBN-13: | 9780470904107 |
---|---|

Publisher: | Wiley |

Publication date: | 11/27/2012 |

Edition description: | Older Edition |

Pages: | 744 |

Sales rank: | 1,119,578 |

Product dimensions: | 8.60(w) x 11.00(h) x 1.20(d) |

## Read an Excerpt

This revised and expanded edition is designed to motivate and challenge students without a strong mathematics background. Filled with real-world examples, step-by-step explanations, quality exercise sets that link applications to concepts and procedures, and sound pedagogy, this text makes statistics interesting and accessible. New features include problems designed for use with the graphing calculator, directions and screen shots for the Windows version of Minitab throughout the text and an increased focus on technology as a teaching tool.

## First Chapter

This revised and expanded edition is designed to motivate and challenge students without a strong mathematics background. Filled with real-world examples, step-by-step explanations, quality exercise sets that link applications to concepts and procedures, and sound pedagogy, this text makes statistics interesting and accessible. New features include problems designed for use with the graphing calculator, directions and screen shots for the Windows version of Minitab throughout the text and an increased focus on technology as a teaching tool.

## Table of Contents

**CHAPTER 1 Introduction 1**

1.1 Statistics and Types of Statistics 2

Case Study 1–1 How Much Did Companies Spend on Ads in 2011? 3

Case Study 1–2 How Women Rate Their Lives 4

1.2 Population Versus Sample 5

Case Study 1–3 Are We Becoming Less "Green?" 7

1.3 Basic Terms 8

1.4 Types of Variables 10

1.5 Cross-Section Versus Time-Series Data 12

1.6 Sources of Data 14

1.7 Summation Notation 15

Uses and Misuses / Glossary / Supplementary Exercises / Self-Review Test / Mini-Project/ Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 2 Organizing and Graphing Data 28**

2.1 Organizing and Graphing Qualitative Data 29

Case Study 2–1 Will Today's Children Be Better Off Than Their Parents? 32

Case Study 2–2 Employees' Overall Financial Stress Levels 33

2.2 Organizing and Graphing Quantitative Data 36

Case Study 2–3 How Long Does Your Typical One-Way Commute Take? 42

Case Study 2–4 How Much Does It Cost to Insure a Car? 43

Case Study 2–5 How Many Cups of Coffee Do You Drink a Day? 46

2.3 Cumulative Frequency Distributions 54

2.4 Stem-and-Leaf Displays 57

2.5 Dotplots 62

Uses and Misuses / Glossary /Supplementary Exercises / Advanced Exercises / Self-Review Test / Mini-Projects / Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 3 Numerical Descriptive Measures 85**

3.1 Measures of Central Tendency for Ungrouped Data 86

Case Study 3–1 Average NFL Ticket Prices in the Secondary Market 89

Case Study 3–2 Average Is Over 90

Case Study 3–3 Education Pays 92

3.2 Measures of Dispersion for Ungrouped Data 99

3.3 Mean, Variance, and Standard Deviation for Grouped Data 106

3.4 Use of Standard Deviation 113

Case Study 3–4 Does Spread Mean the Same as Variability and Dispersion? 116

3.5 Measures of Position 118

3.6 Box-and-Whisker Plot 123

Uses and Misuses / Glossary / Supplementary Exercises / Advanced Exercises / Appendix 3.1 /

Self-Review Test / Mini-Projects / Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 4 Probability 146**

4.1 Experiment, Outcome, and Sample Space 147

4.2 Calculating Probability 152

4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts 158

Case Study 4–1 Do You Worry About Your Weight? 162

4.4 Intersection of Events and the Multiplication Rule 170

4.5 Union of Events and the Addition Rule 179

4.6 Counting Rule, Factorials, Combinations, and Permutations 187

Case Study 4–2 Probability of Winning a Mega Millions Lottery Jackpot 192

Uses and Misuses / Glossary / Supplementary Exercises / Advanced Exercises / Self-Review Test / Mini-Projects / Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 5 Discrete Random Variables and Their Probability Distributions 209**

5.1 Random Variables 210

5.2 Probability Distribution of a Discrete Random Variable 212

5.3 Mean and Standard Deviation of a Discrete Random Variable 219

Case Study 5–1 $1,000 Downpour 221

5.4 The Binomial Probability Distribution 226

5.5 The Hypergeometric Probability Distribution 239

5.6 The Poisson Probability Distribution 242

Case Study 5–2 Global Birth and Death Rates 246

Uses and Misuses / Glossary / Supplementary Exercises / Advanced Exercises / Self-Review Test / Mini-Projects / Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 6 Continuous Random Variables and the Normal Distribution 264**

6.1 Continuous Probability Distribution and the Normal Probability Distribution 265

Case Study 6–1 Distribution of Time Taken to Run a Road Race 269

6.2 Standardizing a Normal Distribution 281

6.3 Applications of the Normal Distribution 287

6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve Is Known 292

6.5 The Normal Approximation to the Binomial Distribution 297

Uses and Misuses / Glossary / Supplementary Exercises / Advanced Exercises / Appendix 6.1 / Self-Review Test / Mini-Projects / Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 7 Sampling Distributions 320**

7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors 321

7.2 Mean and Standard Deviation of x– 326

7.3 Shape of the Sampling Distribution of x– 330

7.4 Applications of the Sampling Distribution of x– 336

7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of p 341

7.6 Applications of the Sampling Distribution of ˆp 348

Uses and Misuses / Glossary / Supplementary Exercises / Advanced Exercises / Self-Review Test / Mini-Projects / Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 8 Estimation of the Mean and Proportion 360**

8.1 Estimation, Point Estimate, and Interval Estimate 361

8.2 Estimation of a Population Mean: Known 364

Case Study 8–1 How Much Did Registered Nurses Earn in 2011? 370

8.3 Estimation of a Population Mean: Not Known 374

8.4 Estimation of a Population Proportion: Large Samples 383

Case Study 8–2 Do You Bring Your Lunch From Home? 386

**CHAPTER 9 Hypothesis Tests About the Mean and Proportion 404**

9.1 Hypothesis Tests: An Introduction 405

9.2 Hypothesis Tests About : Known 413

Case Study 9–1 Average Student Debt for the Class of 2010 422

9.3 Hypothesis Tests About : Not Known 427

9.4 Hypothesis Tests About a Population Proportion: Large Samples 437

Case Study 9–2 Is Raising Taxes on the Rich Fair? 443

**CHAPTER 10 Estimation and Hypothesis Testing: Two Populations 462**

10.1 Inferences About the Difference Between Two Population Means for Independent Samples: 1 and 2 Known 463

10.2 Inferences About the Difference Between Two Population Means for Independent Samples: 1 and 2 Unknown but Equal 470

Case Study 10–1 One-Way Commute Times For Six Cities 476

10.3 Inferences About the Difference Between Two Population Means for Independent Samples: 1 and 2 Unknown and Unequal 480

10.4 Inferences About the Difference Between Two Population Means for Paired Samples 487

10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples 496

Case Study 10–2 Do You Worry About Your Weight? 501

**CHAPTER 11 Chi-Square Tests 521**

11.1 The Chi-Square Distribution 522

11.2 A Goodness-of-Fit Test 525

Case Study 11–1 Are People on Wall Street Honest and Moral? 530

11.3 A Test of Independence or Homogeneity 534

11.4 Inferences About the Population Variance 546

**CHAPTER 12 Analysis of Variance 566**

12.1 The F Distribution 567

12.2 One-Way Analysis of Variance 569

**CHAPTER 13 Simple Linear Regression 591**

13.1 Simple Linear Regression 592

Case Study 13–1 Regression of Weights on Heights for NFL Players 601

13.2 Standard Deviation of Errors and Coefficient of Determination 608

13.3 Inferences About B 614

13.4 Linear Correlation 620

13.5 Regression Analysis: A Complete Example 626

13.6 Using the Regression Model 633

**CHAPTER 14 Multiple Regression 651**

This chapter is not included in this text but is available for download from WileyPLUS or from www.wiley.com/college/mann.

**CHAPTER 15 Nonparametric Methods 652**

This chapter is not included in this text but is available for download from WileyPLUS or from www.wiley.com/college/mann.

**APPENDIX A Sample Surveys, Sampling Techniques, And Design Of Experiments A1**

A.1 Sources of Data A1

A.2 Sample Surveys and Sampling Techniques A3

A.3 Design of Experiments A9

Advanced Exercises/Glossary

**APPENDIX B Explanation Of Data Sets B1**

Data Set I: City Data B1

Data Set II: Data on States B3

Data Set III: NFL Data B3

Data Set IV: Beach to Beacon 10k Road Race Data B3

Data Set V: Sample of 500 Observations Selected From Beach to Beacon 10k Road Race Data B4

Data Set VI: Data on Movies B4

Data Set VII: Standard & Poor’s 100 Index Data B4

Data Set VIII: McDonald's Data B4

Data Set IX: Candidate Data B5

Data Set X: Kickers2010 Data B6

Data Set XI: Billboard Data B6

Data Set XII: Motorcycle Data B6

Data Set XIII: Simulated Data B7

**APPENDIX C Statistical Tables C1**

Table I Table of Binomial Probabilities C2

Table II Values of e C11

Table III Table of Poisson Probabilities C13

Table IV Standard Normal Distribution Table C19

Table V The t Distribution Table C21

Table VI Chi-Square Distribution Table C23

Table VII The F Distribution Table C24

Tables VIII through XII (listed below) are available from WileyPLUS or from www.wiley.com/college/mann.

Table VIII Critical Values of X for the Sign Test

Table IX Critical Values of T for the Wilcoxon Signed-Rank Test

Table X Critical Values of T for the Wilcoxon Rank Sum Test

Table XI Critical Values for the Spearman Rho Rank Correlation Coefficient Test

Table XII Critical Values for a Two-Tailed Runs Test with A .05

ANSWERS TO SELECTED ODD-NUMBERED EXERCISES AND SELF REVIEW TESTS AN1

INDEX

## Reading Group Guide

**CHAPTER 1 Introduction 1**

1.1 Statistics and Types of Statistics 2

Case Study 1–1 How Much Did Companies Spend on Ads in 2011? 3

Case Study 1–2 How Women Rate Their Lives 4

1.2 Population Versus Sample 5

Case Study 1–3 Are We Becoming Less "Green?" 7

1.3 Basic Terms 8

1.4 Types of Variables 10

1.5 Cross-Section Versus Time-Series Data 12

1.6 Sources of Data 14

1.7 Summation Notation 15

Uses and Misuses / Glossary / Supplementary Exercises / Self-Review Test / Mini-Project/ Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 2 Organizing and Graphing Data 28**

2.1 Organizing and Graphing Qualitative Data 29

Case Study 2–1 Will Today's Children Be Better Off Than Their Parents? 32

Case Study 2–2 Employees' Overall Financial Stress Levels 33

2.2 Organizing and Graphing Quantitative Data 36

Case Study 2–3 How Long Does Your Typical One-Way Commute Take? 42

Case Study 2–4 How Much Does It Cost to Insure a Car? 43

Case Study 2–5 How Many Cups of Coffee Do You Drink a Day? 46

2.3 Cumulative Frequency Distributions 54

2.4 Stem-and-Leaf Displays 57

2.5 Dotplots 62

Uses and Misuses / Glossary /Supplementary Exercises / Advanced Exercises / Self-Review Test / Mini-Projects / Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 3 Numerical Descriptive Measures 85**

3.1 Measures of Central Tendency for Ungrouped Data 86

Case Study 3–1 Average NFL Ticket Prices in the Secondary Market 89

Case Study 3–2 Average Is Over 90

Case Study 3–3 Education Pays 92

3.2 Measures of Dispersion for Ungrouped Data 99

3.3 Mean, Variance, and Standard Deviation for Grouped Data 106

3.4 Use of Standard Deviation 113

Case Study 3–4 Does Spread Mean the Same as Variability and Dispersion? 116

3.5 Measures of Position 118

3.6 Box-and-Whisker Plot 123

Uses and Misuses / Glossary / Supplementary Exercises / Advanced Exercises / Appendix 3.1 /

Self-Review Test / Mini-Projects / Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 4 Probability 146**

4.1 Experiment, Outcome, and Sample Space 147

4.2 Calculating Probability 152

4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts 158

Case Study 4–1 Do You Worry About Your Weight? 162

4.4 Intersection of Events and the Multiplication Rule 170

4.5 Union of Events and the Addition Rule 179

4.6 Counting Rule, Factorials, Combinations, and Permutations 187

Case Study 4–2 Probability of Winning a Mega Millions Lottery Jackpot 192

**CHAPTER 5 Discrete Random Variables and Their Probability Distributions 209**

5.1 Random Variables 210

5.2 Probability Distribution of a Discrete Random Variable 212

5.3 Mean and Standard Deviation of a Discrete Random Variable 219

Case Study 5–1 $1,000 Downpour 221

5.4 The Binomial Probability Distribution 226

5.5 The Hypergeometric Probability Distribution 239

5.6 The Poisson Probability Distribution 242

Case Study 5–2 Global Birth and Death Rates 246

**CHAPTER 6 Continuous Random Variables and the Normal Distribution 264**

6.1 Continuous Probability Distribution and the Normal Probability Distribution 265

Case Study 6–1 Distribution of Time Taken to Run a Road Race 269

6.2 Standardizing a Normal Distribution 281

6.3 Applications of the Normal Distribution 287

6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve Is Known 292

6.5 The Normal Approximation to the Binomial Distribution 297

Uses and Misuses / Glossary / Supplementary Exercises / Advanced Exercises / Appendix 6.1 / Self-Review Test / Mini-Projects / Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 7 Sampling Distributions 320**

7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors 321

7.2 Mean and Standard Deviation of x– 326

7.3 Shape of the Sampling Distribution of x– 330

7.4 Applications of the Sampling Distribution of x– 336

7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of p 341

7.6 Applications of the Sampling Distribution of ˆp 348

**CHAPTER 8 Estimation of the Mean and Proportion 360**

8.1 Estimation, Point Estimate, and Interval Estimate 361

8.2 Estimation of a Population Mean: Known 364

Case Study 8–1 How Much Did Registered Nurses Earn in 2011? 370

8.3 Estimation of a Population Mean: Not Known 374

8.4 Estimation of a Population Proportion: Large Samples 383

Case Study 8–2 Do You Bring Your Lunch From Home? 386

**CHAPTER 9 Hypothesis Tests About the Mean and Proportion 404**

9.1 Hypothesis Tests: An Introduction 405

9.2 Hypothesis Tests About : Known 413

Case Study 9–1 Average Student Debt for the Class of 2010 422

9.3 Hypothesis Tests About : Not Known 427

9.4 Hypothesis Tests About a Population Proportion: Large Samples 437

Case Study 9–2 Is Raising Taxes on the Rich Fair? 443

**CHAPTER 10 Estimation and Hypothesis Testing: Two Populations 462**

10.1 Inferences About the Difference Between Two Population Means for Independent Samples: 1 and 2 Known 463

10.2 Inferences About the Difference Between Two Population Means for Independent Samples: 1 and 2 Unknown but Equal 470

Case Study 10–1 One-Way Commute Times For Six Cities 476

10.3 Inferences About the Difference Between Two Population Means for Independent Samples: 1 and 2 Unknown and Unequal 480

10.4 Inferences About the Difference Between Two Population Means for Paired Samples 487

10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples 496

Case Study 10–2 Do You Worry About Your Weight? 501

**CHAPTER 11 Chi-Square Tests 521**

11.1 The Chi-Square Distribution 522

11.2 A Goodness-of-Fit Test 525

Case Study 11–1 Are People on Wall Street Honest and Moral? 530

11.3 A Test of Independence or Homogeneity 534

11.4 Inferences About the Population Variance 546

**CHAPTER 12 Analysis of Variance 566**

12.1 The F Distribution 567

12.2 One-Way Analysis of Variance 569

**CHAPTER 13 Simple Linear Regression 591**

13.1 Simple Linear Regression 592

Case Study 13–1 Regression of Weights on Heights for NFL Players 601

13.2 Standard Deviation of Errors and Coefficient of Determination 608

13.3 Inferences About B 614

13.4 Linear Correlation 620

13.5 Regression Analysis: A Complete Example 626

13.6 Using the Regression Model 633

**CHAPTER 14 Multiple Regression 651**

This chapter is not included in this text but is available for download from WileyPLUS or from www.wiley.com/college/mann.

**CHAPTER 15 Nonparametric Methods 652**

**APPENDIX A Sample Surveys, Sampling Techniques, And Design Of Experiments A1**

A.1 Sources of Data A1

A.2 Sample Surveys and Sampling Techniques A3

A.3 Design of Experiments A9

Advanced Exercises/Glossary

**APPENDIX B Explanation Of Data Sets B1**

Data Set I: City Data B1

Data Set II: Data on States B3

Data Set III: NFL Data B3

Data Set IV: Beach to Beacon 10k Road Race Data B3

Data Set V: Sample of 500 Observations Selected From Beach to Beacon 10k Road Race Data B4

Data Set VI: Data on Movies B4

Data Set VII: Standard & Poor’s 100 Index Data B4

Data Set VIII: McDonald's Data B4

Data Set IX: Candidate Data B5

Data Set X: Kickers2010 Data B6

Data Set XI: Billboard Data B6

Data Set XII: Motorcycle Data B6

Data Set XIII: Simulated Data B7

**APPENDIX C Statistical Tables C1**

Table I Table of Binomial Probabilities C2

Table II Values of e C11

Table III Table of Poisson Probabilities C13

Table IV Standard Normal Distribution Table C19

Table V The t Distribution Table C21

Table VI Chi-Square Distribution Table C23

Table VII The F Distribution Table C24

Tables VIII through XII (listed below) are available from WileyPLUS or from www.wiley.com/college/mann.

Table VIII Critical Values of X for the Sign Test

Table IX Critical Values of T for the Wilcoxon Signed-Rank Test

Table X Critical Values of T for the Wilcoxon Rank Sum Test

Table XI Critical Values for the Spearman Rho Rank Correlation Coefficient Test

Table XII Critical Values for a Two-Tailed Runs Test with A .05

ANSWERS TO SELECTED ODD-NUMBERED EXERCISES AND SELF REVIEW TESTS AN1

INDEX

## Interviews

**CHAPTER 1 Introduction 1**

1.1 Statistics and Types of Statistics 2

Case Study 1–1 How Much Did Companies Spend on Ads in 2011? 3

Case Study 1–2 How Women Rate Their Lives 4

1.2 Population Versus Sample 5

Case Study 1–3 Are We Becoming Less "Green?" 7

1.3 Basic Terms 8

1.4 Types of Variables 10

1.5 Cross-Section Versus Time-Series Data 12

1.6 Sources of Data 14

1.7 Summation Notation 15

Uses and Misuses / Glossary / Supplementary Exercises / Self-Review Test / Mini-Project/ Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 2 Organizing and Graphing Data 28**

2.1 Organizing and Graphing Qualitative Data 29

Case Study 2–1 Will Today's Children Be Better Off Than Their Parents? 32

Case Study 2–2 Employees' Overall Financial Stress Levels 33

2.2 Organizing and Graphing Quantitative Data 36

Case Study 2–3 How Long Does Your Typical One-Way Commute Take? 42

Case Study 2–4 How Much Does It Cost to Insure a Car? 43

Case Study 2–5 How Many Cups of Coffee Do You Drink a Day? 46

2.3 Cumulative Frequency Distributions 54

2.4 Stem-and-Leaf Displays 57

2.5 Dotplots 62

Uses and Misuses / Glossary /Supplementary Exercises / Advanced Exercises / Self-Review Test / Mini-Projects / Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 3 Numerical Descriptive Measures 85**

3.1 Measures of Central Tendency for Ungrouped Data 86

Case Study 3–1 Average NFL Ticket Prices in the Secondary Market 89

Case Study 3–2 Average Is Over 90

Case Study 3–3 Education Pays 92

3.2 Measures of Dispersion for Ungrouped Data 99

3.3 Mean, Variance, and Standard Deviation for Grouped Data 106

3.4 Use of Standard Deviation 113

Case Study 3–4 Does Spread Mean the Same as Variability and Dispersion? 116

3.5 Measures of Position 118

3.6 Box-and-Whisker Plot 123

Uses and Misuses / Glossary / Supplementary Exercises / Advanced Exercises / Appendix 3.1 /

Self-Review Test / Mini-Projects / Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 4 Probability 146**

4.1 Experiment, Outcome, and Sample Space 147

4.2 Calculating Probability 152

4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts 158

Case Study 4–1 Do You Worry About Your Weight? 162

4.4 Intersection of Events and the Multiplication Rule 170

4.5 Union of Events and the Addition Rule 179

4.6 Counting Rule, Factorials, Combinations, and Permutations 187

Case Study 4–2 Probability of Winning a Mega Millions Lottery Jackpot 192

**CHAPTER 5 Discrete Random Variables and Their Probability Distributions 209**

5.1 Random Variables 210

5.2 Probability Distribution of a Discrete Random Variable 212

5.3 Mean and Standard Deviation of a Discrete Random Variable 219

Case Study 5–1 $1,000 Downpour 221

5.4 The Binomial Probability Distribution 226

5.5 The Hypergeometric Probability Distribution 239

5.6 The Poisson Probability Distribution 242

Case Study 5–2 Global Birth and Death Rates 246

**CHAPTER 6 Continuous Random Variables and the Normal Distribution 264**

6.1 Continuous Probability Distribution and the Normal Probability Distribution 265

Case Study 6–1 Distribution of Time Taken to Run a Road Race 269

6.2 Standardizing a Normal Distribution 281

6.3 Applications of the Normal Distribution 287

6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve Is Known 292

6.5 The Normal Approximation to the Binomial Distribution 297

Uses and Misuses / Glossary / Supplementary Exercises / Advanced Exercises / Appendix 6.1 / Self-Review Test / Mini-Projects / Decide for Yourself / Technology Instruction / Technology Assignments

**CHAPTER 7 Sampling Distributions 320**

7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors 321

7.2 Mean and Standard Deviation of x– 326

7.3 Shape of the Sampling Distribution of x– 330

7.4 Applications of the Sampling Distribution of x– 336

7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of p 341

7.6 Applications of the Sampling Distribution of ˆp 348

**CHAPTER 8 Estimation of the Mean and Proportion 360**

8.1 Estimation, Point Estimate, and Interval Estimate 361

8.2 Estimation of a Population Mean: Known 364

Case Study 8–1 How Much Did Registered Nurses Earn in 2011? 370

8.3 Estimation of a Population Mean: Not Known 374

8.4 Estimation of a Population Proportion: Large Samples 383

Case Study 8–2 Do You Bring Your Lunch From Home? 386

**CHAPTER 9 Hypothesis Tests About the Mean and Proportion 404**

9.1 Hypothesis Tests: An Introduction 405

9.2 Hypothesis Tests About : Known 413

Case Study 9–1 Average Student Debt for the Class of 2010 422

9.3 Hypothesis Tests About : Not Known 427

9.4 Hypothesis Tests About a Population Proportion: Large Samples 437

Case Study 9–2 Is Raising Taxes on the Rich Fair? 443

**CHAPTER 10 Estimation and Hypothesis Testing: Two Populations 462**

10.1 Inferences About the Difference Between Two Population Means for Independent Samples: 1 and 2 Known 463

10.2 Inferences About the Difference Between Two Population Means for Independent Samples: 1 and 2 Unknown but Equal 470

Case Study 10–1 One-Way Commute Times For Six Cities 476

10.3 Inferences About the Difference Between Two Population Means for Independent Samples: 1 and 2 Unknown and Unequal 480

10.4 Inferences About the Difference Between Two Population Means for Paired Samples 487

10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples 496

Case Study 10–2 Do You Worry About Your Weight? 501

**CHAPTER 11 Chi-Square Tests 521**

11.1 The Chi-Square Distribution 522

11.2 A Goodness-of-Fit Test 525

Case Study 11–1 Are People on Wall Street Honest and Moral? 530

11.3 A Test of Independence or Homogeneity 534

11.4 Inferences About the Population Variance 546

**CHAPTER 12 Analysis of Variance 566**

12.1 The F Distribution 567

12.2 One-Way Analysis of Variance 569

**CHAPTER 13 Simple Linear Regression 591**

13.1 Simple Linear Regression 592

Case Study 13–1 Regression of Weights on Heights for NFL Players 601

13.2 Standard Deviation of Errors and Coefficient of Determination 608

13.3 Inferences About B 614

13.4 Linear Correlation 620

13.5 Regression Analysis: A Complete Example 626

13.6 Using the Regression Model 633

**CHAPTER 14 Multiple Regression 651**

**CHAPTER 15 Nonparametric Methods 652**

**APPENDIX A Sample Surveys, Sampling Techniques, And Design Of Experiments A1**

A.1 Sources of Data A1

A.2 Sample Surveys and Sampling Techniques A3

A.3 Design of Experiments A9

Advanced Exercises/Glossary

**APPENDIX B Explanation Of Data Sets B1**

Data Set I: City Data B1

Data Set II: Data on States B3

Data Set III: NFL Data B3

Data Set IV: Beach to Beacon 10k Road Race Data B3

Data Set V: Sample of 500 Observations Selected From Beach to Beacon 10k Road Race Data B4

Data Set VI: Data on Movies B4

Data Set VII: Standard & Poor’s 100 Index Data B4

Data Set VIII: McDonald's Data B4

Data Set IX: Candidate Data B5

Data Set X: Kickers2010 Data B6

Data Set XI: Billboard Data B6

Data Set XII: Motorcycle Data B6

Data Set XIII: Simulated Data B7

**APPENDIX C Statistical Tables C1**

Table I Table of Binomial Probabilities C2

Table II Values of e C11

Table III Table of Poisson Probabilities C13

Table IV Standard Normal Distribution Table C19

Table V The t Distribution Table C21

Table VI Chi-Square Distribution Table C23

Table VII The F Distribution Table C24

Tables VIII through XII (listed below) are available from WileyPLUS or from www.wiley.com/college/mann.

Table VIII Critical Values of X for the Sign Test

Table IX Critical Values of T for the Wilcoxon Signed-Rank Test

Table X Critical Values of T for the Wilcoxon Rank Sum Test

Table XI Critical Values for the Spearman Rho Rank Correlation Coefficient Test

Table XII Critical Values for a Two-Tailed Runs Test with A .05

ANSWERS TO SELECTED ODD-NUMBERED EXERCISES AND SELF REVIEW TESTS AN1

INDEX

## Recipe

**CHAPTER 1 Introduction 1**

1.1 Statistics and Types of Statistics 2

Case Study 1–1 How Much Did Companies Spend on Ads in 2011? 3

Case Study 1–2 How Women Rate Their Lives 4

1.2 Population Versus Sample 5

Case Study 1–3 Are We Becoming Less "Green?" 7

1.3 Basic Terms 8

1.4 Types of Variables 10

1.5 Cross-Section Versus Time-Series Data 12

1.6 Sources of Data 14

1.7 Summation Notation 15

**CHAPTER 2 Organizing and Graphing Data 28**

2.1 Organizing and Graphing Qualitative Data 29

Case Study 2–1 Will Today's Children Be Better Off Than Their Parents? 32

Case Study 2–2 Employees' Overall Financial Stress Levels 33

2.2 Organizing and Graphing Quantitative Data 36

Case Study 2–3 How Long Does Your Typical One-Way Commute Take? 42

Case Study 2–4 How Much Does It Cost to Insure a Car? 43

Case Study 2–5 How Many Cups of Coffee Do You Drink a Day? 46

2.3 Cumulative Frequency Distributions 54

2.4 Stem-and-Leaf Displays 57

2.5 Dotplots 62

**CHAPTER 3 Numerical Descriptive Measures 85**

3.1 Measures of Central Tendency for Ungrouped Data 86

Case Study 3–1 Average NFL Ticket Prices in the Secondary Market 89

Case Study 3–2 Average Is Over 90

Case Study 3–3 Education Pays 92

3.2 Measures of Dispersion for Ungrouped Data 99

3.3 Mean, Variance, and Standard Deviation for Grouped Data 106

3.4 Use of Standard Deviation 113

Case Study 3–4 Does Spread Mean the Same as Variability and Dispersion? 116

3.5 Measures of Position 118

3.6 Box-and-Whisker Plot 123

Uses and Misuses / Glossary / Supplementary Exercises / Advanced Exercises / Appendix 3.1 /

**CHAPTER 4 Probability 146**

4.1 Experiment, Outcome, and Sample Space 147

4.2 Calculating Probability 152

4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts 158

Case Study 4–1 Do You Worry About Your Weight? 162

4.4 Intersection of Events and the Multiplication Rule 170

4.5 Union of Events and the Addition Rule 179

4.6 Counting Rule, Factorials, Combinations, and Permutations 187

Case Study 4–2 Probability of Winning a Mega Millions Lottery Jackpot 192

**CHAPTER 5 Discrete Random Variables and Their Probability Distributions 209**

5.1 Random Variables 210

5.2 Probability Distribution of a Discrete Random Variable 212

5.3 Mean and Standard Deviation of a Discrete Random Variable 219

Case Study 5–1 $1,000 Downpour 221

5.4 The Binomial Probability Distribution 226

5.5 The Hypergeometric Probability Distribution 239

5.6 The Poisson Probability Distribution 242

Case Study 5–2 Global Birth and Death Rates 246

**CHAPTER 6 Continuous Random Variables and the Normal Distribution 264**

6.1 Continuous Probability Distribution and the Normal Probability Distribution 265

Case Study 6–1 Distribution of Time Taken to Run a Road Race 269

6.2 Standardizing a Normal Distribution 281

6.3 Applications of the Normal Distribution 287

6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve Is Known 292

6.5 The Normal Approximation to the Binomial Distribution 297

**CHAPTER 7 Sampling Distributions 320**

7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors 321

7.2 Mean and Standard Deviation of x– 326

7.3 Shape of the Sampling Distribution of x– 330

7.4 Applications of the Sampling Distribution of x– 336

7.6 Applications of the Sampling Distribution of ˆp 348

**CHAPTER 8 Estimation of the Mean and Proportion 360**

8.1 Estimation, Point Estimate, and Interval Estimate 361

8.2 Estimation of a Population Mean: Known 364

Case Study 8–1 How Much Did Registered Nurses Earn in 2011? 370

8.3 Estimation of a Population Mean: Not Known 374

8.4 Estimation of a Population Proportion: Large Samples 383

Case Study 8–2 Do You Bring Your Lunch From Home? 386

**CHAPTER 9 Hypothesis Tests About the Mean and Proportion 404**

9.1 Hypothesis Tests: An Introduction 405

9.2 Hypothesis Tests About : Known 413

Case Study 9–1 Average Student Debt for the Class of 2010 422

9.3 Hypothesis Tests About : Not Known 427

9.4 Hypothesis Tests About a Population Proportion: Large Samples 437

Case Study 9–2 Is Raising Taxes on the Rich Fair? 443

**CHAPTER 10 Estimation and Hypothesis Testing: Two Populations 462**

Case Study 10–1 One-Way Commute Times For Six Cities 476

10.4 Inferences About the Difference Between Two Population Means for Paired Samples 487

Case Study 10–2 Do You Worry About Your Weight? 501

**CHAPTER 11 Chi-Square Tests 521**

11.1 The Chi-Square Distribution 522

11.2 A Goodness-of-Fit Test 525

Case Study 11–1 Are People on Wall Street Honest and Moral? 530

11.3 A Test of Independence or Homogeneity 534

11.4 Inferences About the Population Variance 546

**CHAPTER 12 Analysis of Variance 566**

12.1 The F Distribution 567

12.2 One-Way Analysis of Variance 569

**CHAPTER 13 Simple Linear Regression 591**

13.1 Simple Linear Regression 592

Case Study 13–1 Regression of Weights on Heights for NFL Players 601

13.2 Standard Deviation of Errors and Coefficient of Determination 608

13.3 Inferences About B 614

13.4 Linear Correlation 620

13.5 Regression Analysis: A Complete Example 626

13.6 Using the Regression Model 633

**CHAPTER 14 Multiple Regression 651**

**CHAPTER 15 Nonparametric Methods 652**

**APPENDIX A Sample Surveys, Sampling Techniques, And Design Of Experiments A1**

A.1 Sources of Data A1

A.2 Sample Surveys and Sampling Techniques A3

A.3 Design of Experiments A9

Advanced Exercises/Glossary

**APPENDIX B Explanation Of Data Sets B1**

Data Set I: City Data B1

Data Set II: Data on States B3

Data Set III: NFL Data B3

Data Set IV: Beach to Beacon 10k Road Race Data B3

Data Set V: Sample of 500 Observations Selected From Beach to Beacon 10k Road Race Data B4

Data Set VI: Data on Movies B4

Data Set VII: Standard & Poor’s 100 Index Data B4

Data Set VIII: McDonald's Data B4

Data Set IX: Candidate Data B5

Data Set X: Kickers2010 Data B6

Data Set XI: Billboard Data B6

Data Set XII: Motorcycle Data B6

Data Set XIII: Simulated Data B7

**APPENDIX C Statistical Tables C1**

Table I Table of Binomial Probabilities C2

Table II Values of e C11

Table III Table of Poisson Probabilities C13

Table IV Standard Normal Distribution Table C19

Table V The t Distribution Table C21

Table VI Chi-Square Distribution Table C23

Table VII The F Distribution Table C24

Table VIII Critical Values of X for the Sign Test

Table IX Critical Values of T for the Wilcoxon Signed-Rank Test

Table X Critical Values of T for the Wilcoxon Rank Sum Test

Table XI Critical Values for the Spearman Rho Rank Correlation Coefficient Test

Table XII Critical Values for a Two-Tailed Runs Test with A .05

ANSWERS TO SELECTED ODD-NUMBERED EXERCISES AND SELF REVIEW TESTS AN1

INDEX