Table of Contents

Chapter 1 Sampling and Data
 1.1 Definitions of Statistics, Probability, and Key Terms
 1.2 Data, Sampling, and Variation in Data and Sampling
 1.3 Levels of Measurement
 1.4 Experimental Design and Ethics

Chapter 2 Descriptive Statistics
 2.1 Display Data
 2.2 Measures of the Location of the Data
 2.3 Measures of the Center of the Data
 2.4 Sigma Notation and Calculating the Arithmetic Mean
 2.5 Geometric Mean
 2.6 Skewness and the Mean, Median, and Mode
 2.7 Measures of the Spread of the Data

Chapter 3 Probability Topics
 3.1 Terminology
 3.2 Independent and Mutually Exclusive Events
 3.3 Two Basic Rules of Probability
 3.4 Contingency Tables and Probability Trees
 3.5 Venn Diagrams

Chapter 4 Discrete Random Variables
 4.1 Hypergeometric Distribution
 4.2 Binomial Distribution
 4.3 Geometric Distribution
 4.4 Poisson Distribution

Chapter 5 Continuous Random Variables
 5.1 Properties of Continuous Probability Density Functions
 5.2 The Uniform Distribution
 5.3 The Exponential Distribution

Chapter 6 The Normal Distribution
 6.1 The Standard Normal Distribution
 6.2 Using the Normal Distribution
 6.3 Estimating the Binomial with the Normal Distribution

Chapter 7 The Central Limit Theorem
 7.1 The Central Limit Theorem for Sample Means
 7.2 Using the Central Limit Theorem
 7.3 The Central Limit Theorem for Proportions
 7.4 Finite Population Correction Factor

Chapter 8 Confidence Intervals
 8.1 A Confidence Interval for a Population Standard Deviation, Known or Large Sample Size
 8.2 A Confidence Interval for a Population Standard Deviation Unknown, Small Sample Case
 8.3 A Confidence Interval for a Population Proportion
 8.4 Calculating the Sample Size 𝑛: Continuous and Binary Random Variables

Chapter 9 Hypothesis Testing with One Sample
 9.1 Null and Alternative Hypotheses
 9.2 Outcomes and the Type I and Type II Errors
 9.3 Distribution Needed for Hypothesis Testing
 9.4 Full Hypothesis Test Examples

Chapter 10 Hypothesis Testing with Two Samples
 10.1 Comparing Two Independent Population Means
 10.2 Cohen’s Standards for Small, Medium, and Large Effect Sizes
 10.3 Test for Differences in Means: Assuming Equal Population Variances
 10.4 Comparing Two Independent Population Proportions
 10.5 Two Population Means with Known Standard Deviations
 10.6 Matched or Paired Samples

Chapter 11 The ChiSquare Distribution
 11.1 Facts about the ChiSquare Distribution
 11.2 Test of a Single Variance
 11.3 GoodnessofFit Test
 11.4 Test of Independence
 11.5 Test for Homogeneity
 11.6 Comparison of the ChiSquare Tests

Chapter 12 𝐹 Distribution and OneWay ANOVA
 12.1 Test of Two Variances
 12.2 OneWay ANOVA
 12.3 The 𝐹 Distribution and the 𝐹Ratio
 12.4 Facts about the 𝐹 Distribution

Chapter 13 Linear Regression and Correlation
 13.1 The Correlation Coefficient 𝑟
 13.2 Testing the Significance of the Correlation Coefficient
 13.3 Linear Equations
 13.4 The Regression Equation
 13.5 Interpretation of Regression Coefficients: Elasticity and Logarithmic Transformation
 13.6 Predicting with a Regression Equation
 13.7 How to Use Microsoft Excel® for Regression Analysis
 Appendix A Statistical Tables
 Appendix B Mathematical Phrases, Symbols, and Formulas