Elementary Statistics

Table of Contents I. DESCRIPTIVE STATISTICS <ol><li><strong>Introduction to Statistics</strong> <ul><li>1.1 An Overview of Statistics</li><li>1.2 Data Classification</li><li>1.3 Data Collection and Experimental Design</li></ul></li><li><strong>Descriptive Statistics</strong> <ul><li>2.1 Frequency Distributions and Their Graphs</li><li>2.2 More Graphs and Displays</li><li>2.3 Measures of Central Tendency</li><li>2.4 Measures of Variation</li><li>2.5 Measures of Position</li></ul></li></ol> II. PROBABILITY AND PROBABILITY DISTRIBUTIONS <ol><li><strong>Probability</strong> <ul><li>3.1 Basic Concepts of Probability and Counting</li><li>3.2 Conditional Probability and the Multiplication Rule</li><li>3.3 The Addition Rule</li><li>3.4 Additional Topics in Probability and Counting</li></ul></li><li><strong>Discrete Probability Distributions</strong> <ul><li>4.1 Probability Distributions</li><li>4.2 Binomial Distributions</li><li>4.3 More Discrete Probability Distributions</li></ul></li><li><strong>Normal Probability Distributions</strong> <ul><li>5.1 Introduction to Normal Distributions and the Standard Normal Distribution</li><li>5.2 Normal Distributions: Finding Probabilities</li><li>5.3 Normal Distributions: Finding Values</li><li>5.4 Sampling Distributions and the Central Limit Theorem</li><li>5.5 Normal Approximations to Binomial Distributions</li></ul></li></ol> III. STATISTICAL INFERENCE <ol><li><strong>Confidence Intervals</strong> <ul><li>6.1 Confidence Intervals for the Mean (S Known)</li><li>6.2 Confidence Intervals for the Mean (S Unknown)</li><li>6.3 Confidence Intervals for Population Proportions</li><li>6.4 Confidence Intervals for Variance and Standard Deviation</li></ul></li><li><strong>Hypothesis Testing with One Sample</strong> <ul><li>7.1 Introduction to Hypothesis Testing</li><li>7.2 Hypothesis Testing for the Mean (S Known)</li><li>7.3 Hypothesis Testing for the Mean (S Unknown)</li><li>7.4 Hypothesis Testing for Proportions</li><li>7.5 Hypothesis Testing for Variance and Standard Deviation</li></ul></li><li><strong>Hypothesis Testing with Two Samples</strong> <ul><li>8.1 Testing the Difference Between Means (Independent Samples, S1 and S2 Known)</li><li>8.2 Testing the Difference Between Means (Independent Samples, S1 and S2 Unknown)</li><li>8.3 Testing the Difference Between Means (Dependent Samples)</li><li>8.4 Testing the Difference Between Proportions</li></ul></li></ol> IV. MORE STATISTICAL INFERENCE <ol><li><strong>Correlation and Regression</strong> <ul><li>9.1 Correlation</li><li>9.2 Linear Regression</li><li>9.3 Measures of Regression and Prediction Intervals</li><li>9.4 Multiple Regression</li></ul></li><li><strong>Chi-Square Tests and the F-Distribution</strong> <ul><li>10.1 Goodness-of-Fit Test</li><li>10.2 Independence</li><li>10.3 Comparing Two Variances</li><li>10.4 Analysis of Variance</li></ul></li><li><strong>Nonparametric Tests (Web Only)*</strong> <ul><li>11.1 The Sign Test</li><li>11.2 The Wilcoxon Tests</li><li>11.3 The Kruskal-Wallis Test</li><li>11.4 Rank Correlation</li><li>11.5 The Runs Test</li></ul></li></ol>

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

APPENDICES <ul><li><strong>Appendix A: </strong>Alternative Presentation of the Standard Normal Distribution</li><li><strong>Appendix B: </strong>Tables</li><li><strong>Appendix C: </strong>Normal Probability Plots</li></ul>