Student Solutions Manual for Elementary Statistics

Neil A. Weiss received his Ph.D. from UCLA and subsequently accepted an assistant professor position at Arizona State University (ASU), where he was ultimately promoted to the rank of full professor. Dr. Weiss has taught statistics, probability, and mathematics–from the freshman level to the advanced graduate level–for more than 30 years.

In recognition of his excellence in teaching, Dr. Weiss received the Dean’s Quality Teaching Award from the ASU College of Liberal Arts and Sciences. He has also been runner-up twice for the Charles Wexler Teaching Award in the ASU School of Mathematical and Statistical Sciences. Dr. Weiss’s comprehensive knowledge and experience ensures that his texts are mathematically and statistically accurate, as well as pedagogically sound.

In addition to his numerous research publications, Dr. Weiss is the author of A Course in Probability (Addison-Wesley, 2006). He has also authored or coauthored books in finite mathematics, statistics, and real analysis, and is currently working on a new book on applied regression analysis and the analysis of variance. His texts–well known for their precision, readability, and pedagogical excellence–are used worldwide.

Dr. Weiss is a pioneer of the integration of statistical software into textbooks and the classroom, first providing such integration in the book Introductory Statistics (Addison-Wesley, 1982). He and Pearson Education continue that pioneering spirit to this day.

In his spare time, Dr. Weiss enjoys walking, studying and practicing meditation, and playing hold ’em poker. He is married and has two sons.

Preface

Supplements

Technology Resources

Data Sources

PART I: Introduction

1. The Nature of Statistics

            Case Study: Top Films of All Time

1.1 Statistics Basics

1.2 Simple Random Sampling

1.3 Other Sampling Designs*

1.4 Experimental Designs*

            Chapter in Review

            Review Problems

            Focusing on Data Analysis

            Case Study Discussion

            Biography

PART II: Descriptive Statistics

2. Organizing Data

            Case Study: World’s Richest People

2.1 Variables and Data

2.2 Organizing Qualitative Data

2.3 Organizing Quantitative Data

2.4 Distribution Shapes

2.5 Misleading Graphs*

            Chapter in Review

            Review Problems

            Focusing on Data Analysis

            Case Study Discussion

            Biography

3. Descriptive Measures

            Case Study: The Beatles’ Song Length

3.1 Measures of Center

3.2 Measures of Variation

3.3 Chebyshev’s Rule and the Empirical Rule*

3.4 The Five-Number Summary; Boxplots

3.5 Descriptive Measures for Populations; Use of

            Samples

            Chapter in Review

            Review Problems

            Focusing on Data Analysis

            Case Study Discussion

            Biography

4. Descriptive Methods in Regression and Correlation

            Case Study: Healthcare: Spending and Outcomes

4.1 Linear Equations with One Independent Variable

4.2 The Regression Equation

4.3 The Coefficient of Determination

4.4 Linear Correlation

            Chapter in Review

            Review Problems

            Focusing on Data Analysis

            Case Study Discussion

            Biography

PART III: Probability, Random Variables, and Sampling Distributions

5. Probability and Random Variables

            Case Study: Texas Hold’em

5.1 Probability Basics

5.2 Events

5.3 Some Rules of Probability

5.4 Discrete Random Variables and Probability Distributions*

5.5 The Mean and Standard Deviation of a Discrete Random Variable*

5.6 The Binomial Distribution*

            Chapter in Review

            Review Problems

            Focusing on Data Analysis

            Case Study Discussion

            Biography

6. The Normal Distribution

            Case Study: Chest Sizes of Scottish Militiamen

6.1 Introducing Normally Distributed Variables

6.2 Areas under the Standard Normal Curve

6.3 Working with Normally Distributed Variables

6.4 Assessing Normality; Normal Probability Plots

            Chapter in Review

            Review Problems

            Focusing on Data Analysis

            Case Study Discussion

            Biography

7. The Sampling Distribution of the Sample Mean

            Case Study: The Chesapeake and Ohio Freight Study

7.1 Sampling Error; the Need for Sampling Distributions

7.2 The Mean and Standard Deviation of the Sample Mean

7.3 The Sampling Distribution of the Sample Mean

            Chapter in Review

            Review Problems

            Focusing on Data Analysis

            Case Study Discussion

            Biography

PART IV: Inferential Statistics

8. Confidence Intervals for One Population Mean

            Case Study: Bank Robberies: A Statistical Analysis

8.1 Estimating a Population Mean

8.2 Confidence Intervals for One Population Mean When s Is Known

8.3 Confidence Intervals for One Population Mean When s Is Unknown

            Chapter in Review

            Review Problems

            Focusing on Data Analysis

            Case Study Discussion

            Biography

9. Hypothesis Tests for One Population Mean

            Case Study: Gender and Sense of Direction

9.1 The Nature of Hypothesis Testing

9.2 Critical-Value Approach to Hypothesis Testing

9.3 P-Value Approach to Hypothesis Testing

9.4 Hypothesis Tests for One Population Mean When s Is Known

9.5 Hypothesis Tests for One Population Mean When s Is Unknown

            Chapter in Review

            Review Problems

            Focusing on Data Analysis

            Case Study Discussion

            Biography

10. Inferences for Two Population Means

            Case Study: Dexamethasone Therapy and IQ

10.1 The Sampling Distribution of the Difference between Two Sample Means for Independent Samples

10.2 Inferences for Two Population Means, Using Independent Samples: Standard Deviations Assumed Equal

10.3 Inferences for Two Population Means, Using Independent Samples: Standard Deviations Not Assumed Equal

10.4 Inferences for Two Population Means, Using Paired Samples

            Chapter in Review

            Review Problems

            Focusing on Data Analysis

            Case Study Discussion

            Biography

11. Inferences for Population Proportions

            Case Study: Arrested Youths

11.1 Confidence Intervals for One Population Proportion

11.2 Hypothesis Tests for One Population Proportion

11.3 Inferences for Two Population Proportions

            Chapter in Review

            Review Problems

            Focusing on Data Analysis

            Case Study Discussion

            Biography

12. Chi-Square Procedures

            Case Study: Eye and Hair Color

12.1 The Chi-Square Distribution

12.2 Chi-Square Goodness-of-Fit Test

12.3 Contingency Tables; Association

12.4 Chi-Square Independence Test

12.5 Chi-Square Homogeneity Test

            Chapter in Review

            Review Problems

            Focusing on Data Analysis

            Case Study Discussion

            Biography

13. Analysis of Variance (ANOVA)

            Case Study: Self-Perception and Physical Activity

13.1 The F-Distribution

13.2 One-Way ANOVA: The Logic

13.3 One-Way ANOVA: The Procedure

            Chapter in Review

            Review Problems

            Focusing on Data Analysis

            Case Study Discussion

            Biography

14. Inferential Methods in Regression and Correlation

            Case Study: Shoe Size and Height

14.1 The Regression Model; Analysis of Residuals

14.2 Inferences for the Slope of the Population Regression Line

14.3 Estimation and Prediction

14.4 Inferences in Correlation

            Chapter in Review

            Review Problems

            Focusing on Data Analysis

            Case Study Discussion

            Biography

Appendix A: Statistical Tables

Appendix B: Answers to Selected Exercises

Index

Photo Credits

*Indicates optional material.

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