# Elementary Statistics: Picturing the World

I. DESCRIPTIVE STATISTICS

1. Introduction to Statistics

• 1.1 An Overview of Statistics
• 1.2 Data Classification
• 1.3 Data Collection and Experimental Design

2. Descriptive Statistics

• 2.1 Frequency Distributions and Their Graphs
• 2.2 More Graphs and Displays
• 2.3 Measures of Central Tendency
• 2.4 Measures of Variation
• 2.5 Measures of Position

II. PROBABILITY AND PROBABILITY DISTRIBUTIONS

3. Probability

• 3.1 Basic Concepts of Probability and Counting
• 3.2 Conditional Probability and the Multiplication Rule
• 3.4 Additional Topics in Probability and Counting

4. Discrete Probability Distributions

• 4.1 Probability Distributions
• 4.2 Binomial Distributions
• 4.3 More Discrete Probability Distributions

5. Normal Probability Distributions

• 5.1 Introduction to Normal Distributions and the Standard Normal Distribution
• 5.2 Normal Distributions: Finding Probabilities
• 5.3 Normal Distributions: Finding Values
• 5.4 Sampling Distributions and the Central Limit Theorem
• 5.5 Normal Approximations to Binomial Distributions

III. STATISTICAL INFERENCE

6. Confidence Intervals

• 6.1 Confidence Intervals for the Mean (S Known)
• 6.2 Confidence Intervals for the Mean (S Unknown)
• 6.3 Confidence Intervals for Population Proportions
• 6.4 Confidence Intervals for Variance and Standard Deviation

7. Hypothesis Testing with One Sample

• 7.1 Introduction to Hypothesis Testing
• 7.2 Hypothesis Testing for the Mean (S Known)
• 7.3 Hypothesis Testing for the Mean (S Unknown)
• 7.4 Hypothesis Testing for Proportions
• 7.5 Hypothesis Testing for Variance and Standard Deviation

8. Hypothesis Testing with Two Samples

• 8.1 Testing the Difference Between Means (Independent Samples, S1 and S2 Known)
• 8.2 Testing the Difference Between Means (Independent Samples, S1 and S2 Unknown)
• 8.3 Testing the Difference Between Means (Dependent Samples)
• 8.4 Testing the Difference Between Proportions

IV. MORE STATISTICAL INFERENCE

9. Correlation and Regression

• 9.1 Correlation
• 9.2 Linear Regression
• 9.3 Measures of Regression and Prediction Intervals
• 9.4 Multiple Regression

10. Chi-Square Tests and the F -Distribution

• 10.1 Goodness-of-Fit Test
• 10.2 Independence
• 10.3 Comparing Two Variances
• 10.4 Analysis of Variance

11. Nonparametric Tests (Web Only)*

• 11.1 The Sign Test
• 11.2 The Wilcoxon Tests
• 11.3 The Kruskal-Wallis Test
• 11.4 Rank Correlation
• 11.5 The Runs Test

* Available at www.pearson.com/math-stats-resources and in MyLab® Statistics.

APPENDICES

Appendix A: Alternative Presentation of the Standard Normal Distribution

Appendix B: Tables

Appendix C: Normal Probability Plots