## Table of Contents

**1. Introduction to Statistics**

1-1 Overview

1-2 Types of Data

1-3 Critical Thinking

1-4 Design of Experiments

**2. Summarizing and Graphing Data**

2-1 Overview

2-2 Frequency Distributions

2-3 Histograms

2-4 Statistical Graphics

**3. Statistics for Describing, Exploring, and Comparing Data**

3-1 Overview

3-2 Measures of Center

3-3 Measures of Variation

3-4 Measures of Relative Standing

3-5 Exploratory Data Analysis (EDA)

**4. Probability**

4-1 Overview

4-2 Fundamentals

4-3 Addition Rule

4-4 Multiplication Rule: Basics

4-5 Multiplication Rule: Complements and Conditional Probability

4-6 Probabilities Through Simulations

4-7 Counting

4-8 Bayes’ Theorem (on CD-ROM)

**5. Probability Distributions**

5-1 Overview

5-2 Random Variables

5-3 Binomial Probability Distributions

5-4 Mean, Variance, and Standard Deviation for the Binomial Distribution

5-5 The Poisson Distribution

**6. Normal Probability Distributions**

6-1 Overview

6-2 The Standard Normal Distribution

6-3 Applications of Normal Distributions

6-4 Sampling Distributions and Estimators

6-5 The Central Limit Theorem

6-6 Normal as Approximation to Binomial

6-7 Assessing Normality

**7. Estimates and Sample Sizes**

7-1 Overview

7-2 Estimating a Population Proportion

7-3 Estimating a Population Mean: σ Known

7-4 Estimating a Population Mean: σ Not Known

7-5 Estimating a Population Variance

**8. Hypothesis Testing**

8-1 Overview

8-2 Basics of Hypothesis Testing

8-3 Testing a Claim about a Proportion

8-4 Testing a Claim about a Mean: σ Known

8-5 Testing a Claim about a Mean: σ Not Known

8-6 Testing a Claim about Variation

**9. Inferences from Two Samples**

9-1 Overview

9-2 Inferences about Two Proportions

9-3 Inferences about Two Means: Independent Samples

9-4 Inferences from Matched Pairs

9-5 Comparing Variation in Two Samples

**10. Correlation and Regression**

10-1 Overview

10-2 Correlation

10-3 Regression

10-4 Variation and Prediction Intervals

10-5 Multiple Regression

10-6 Modeling

**11. Multinomial Experiments and Contingency Tables**

11-1 Overview

11-2 Multinomial Experiments: Goodness-of-Fit

11-3 Contingency Tables: Independence and Homogeneity

11-4 McNemar’s Test for Matched Pairs

**12. Analysis of Variance**

12-1 Overview

12-2 One-Way ANOVA

12-3 Two-Way ANOVA

**13. Nonparametric Statistics**

13-1 Overview

13-2 Sign Test

13-3 Wilcoxon Signed-Ranks Test for Matched Pairs

13-4 Wilcoxon Rank-Sum Test for Two Independent Samples

13-5 Kruskal-Wallis Test

13-6 Rank Correlation

13-7 Runs Test for Randomness

**14. Statistical Process Control**

14-1 Overview

14-2 Control Charts for Variation and Mean

14-3 Control Charts for Attributes

**15. Projects, Procedures, Perspectives**

15-1 Projects

15-2 Procedure

15-3 Perspective

**Appendices**

Appendix A: Tables

Appendix B: Data Sets

Appendix C: Glossary

Appendix D: Bibliography

Appendix E: Answers to Odd-Numbered Exercises (and All Review Exercises and All Cumulative Review Exercises)

Credits

Index