Preface
Acknowledgments
Probability
The Basics
Conditional Probability
Appendix: Counting
Problems
Random Variables
Distributions
Important Discrete Distributions
Important Continuous Distributions
Expectation, Variance, Medians, Percentiles
Moment-Generating Functions
Mean and Variance of Some Important Distributions
Joint Distributions
Independent Random Variables
Covariance and Correlation
The General Central Limit Theorem
Chebychev's Inequality and the Weak Law of Large Numbers
2(k), Student's t- and F-Distributions
2(k) Distribution
Student's t-Distribution
F-Distribution
Problems
Distributions of Sample Mean and Sample SD
Population Distribution Known
The Population X N(,)
The Population X is not Normal but has Known Mean and Variance
The Population is Bernoulli, p Known
Population Variance Unknown: Sampling Distribution of the Sample Variance
Sampling Distribution of Differences of Two Samples
Problems
Confidence and Prediction Intervals
Confidence Intervals for a Single Sample
Controlling the Error of an Estimate Using Confidence Intervals
Pivotal Quantities
Confidence Intervals for the Mean and Variance of a Normal Distribution
Confidence Intervals for a Proportion
One-Sided Confidence Intervals
Confidence Intervals for Two Samples
Difference of Two Normal Means
Ratio of Two Normal Variances
Difference of Two Binomial Proportions
Paired Samples
Prediction Intervals
Problems
Hypothesis Testing
A Motivating Example
The Basics of Hypothesis Testing
Hypotheses Tests for One Parameter
Hypotheses Tests for the Normal Parameters, Critical Value Approach
The p-Value Approach to Hypothesis Testing
Test of Hypotheses for Proportions
Hypotheses Tests for Two Populations
Test of Hypotheses for Two Proportions
Power of Tests of Hypotheses
Factors Affecting Power of a Test of Hypotheses
Power of One-Sided Tests
More Tests of Hypotheses
Chi-Squared Statistic and Goodness-of-Fit Tests
Contingency Tables and Tests for Independence
Analysis of Variance
Problems
Summary Tables
Linear Regression
Introduction and Scatter Plots
Introduction to Regression
The Linear Model with Observed X
Estimating the Slope and Intercept from Data
Errors of the Regression
The Distributions of and
Confidence Intervals for Slope and Intercept and Hypothesis Tests
Confidence and Prediction Bands
Hypothesis Test for the Correlation Coefficient
Problems
Answers to Problems
Answers to Chapter 1 Problems
Answers to Chapter 2 Problems
Answers to Chapter 3 Problems
Answers to Chapter 4 Problems
Answers to Chapter 5 Problems
Answers to Chapter 6 Problems
Authors' Biographies
Index
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