Table of Contents

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
  • 3.3 The Addition 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