Understanding Basic Statistics

Contents Note: Each chapter concludes with a Summary, Important Words and Symbols, Chapter Review Problems, Data Highlights, Linking Concepts, and Using Technology. 1. Organizing Data 1.1 Populations, Samples and Data 1.2 Random Samples 1.3 Graphs 1.4 Histograms and Frequency Distributions 1.5 Stem-and-Leaf Displays 2. Averages and Variation 2.1 Measure of Central Tendency: Mode, Median, and Mean 2.2 Measure of Variation 2.3 Percentiles and Box-and-Whisker Plots 3. Regression and Correlation 3.1 Introduction to Paired Data and Scatter Diagrams 3.2 Linear Regression 3.3 The Linear Correlation Coefficient 4. Elementary Probability Theory 4.1 What Is Probability? 4.2 Some Probability Rules: Compound Events 4.3 Trees and Counting Techniques 5. Introduction to Probability Distributions and the Binomial Distribution 5.1 Introduction to Random Variables and Probability Distributions 5.2 Binomial Probabilities 5.3 The Mean and Standard Deviation of the Binomial Distribution 6. Normal Distributions 6.1 Graphs of Normal Probability Distributions 6.2 Standard Units and Areas Under the Standard Normal Distribution 6.3 Areas Under Any Normal Curve 6.4 Normal Approximation to the Binomial Distribution 7. Introduction to Sampling Distributions 7.1 Sampling Distributions 7.2 The Central Limit Theorem 7.3 Class Project Illustrating the Central Limit Theorem 8. Estimation 8.1 Estimating u with Large Samples 8.2 Estimating u with Small Samples 8.3 Estimating p in the Binomial Distribution 8.4 Choosing the Sample Size 9. Hypothesis Testing Involving One Population 9.1 Introduction to Hypthesis Testing 9.2 Tests Involving the Mean u (Large Samples) 9.3 The P Value in Hypothesis Testing 9.4 Tests Involving the Mean u (Small Samples) 9.5 Tests Involving a Proportion 10. Inferences About Differences 10.1 Tests Involving Paired Differences (Dependent Samples) 10.2 Inferences About the Difference of Two Means (Large, Independent Samples) 10.3 Inferences About the Difference of Two Means (Small, Independent Samples) 10.4 Inferences About the Difference of Two Proportions 11. Additional Topics Using Inference Part 1: Hypothesis Tests Using the Chi-Square Distribution 11.1 Chi Square: Tests of Independence 11.2 Chi Square: Goodness of Fit 11.3 Testing a Single Variance or Standard Deviation Part II: Inferences Relating to Linear Regression 11.4 Linear Regression: Confidence Intervals for Predictions 11.5 Testing the Correlation Coefficient Appendix I. Tables Table 1 Random Numbers Table 2 Binomial Coefficients Cn,r Table 3 Binomial Distribution Cn,r prqn-r Table 4 Areas of a Standard Normal Distribution Table 5 Student's t Distribtuion Table 6 The X2 Distribution Table 7 Critical Values of Pearson Product-Moment Correlation Coefficient, r Appendix II. Data Sets Answers with Key Steps to Odd-Numbered ProblemsCharles Henry Brase is the author of 'Understanding Basic Statistics', published 2000 under ISBN 9780618054701 and ISBN 0618054707.