# Statistics and Probability with Applications (High School)

## Fourth EditionDaren Starnes; Josh Tabor; Luke Wilcox

©2021*Statistics and Probability with Applications, Fourth Edition* is an engaging and modern introduction to statistics that prepares students for success in this course and in life. Short lessons with many integrated activities get students “doing statistics” from the start. The robust student resource program includes online homework with feedback, ideal for an in person or a virtual learning environment.

## Table of Contents

About the Authors

Acknowledgments

To the Student

**Chapter 1 Analyzing One-Variable Data**

Lesson 1.1 Statistics: The Science and Art of Data

Lesson 1.2 Displaying Categorical Data

Lesson 1.3 Displaying Quantitative Data: Dotplots

Lesson 1.4 Displaying Quantitative Data: Stemplots

Lesson 1.5 Displaying Quantitative Data: Histograms

Lesson 1.6 Measuring Center

Lesson 1.7 Measuring Variability

Lesson 1.8 Summarizing Quantitative Data: Boxplots and Outliers

**Chapter 2 Modeling ****One-Variable Quantitative Data**

Lesson 2.1 Describing Location in a Distribution

Lesson 2.2 Transforming Data

Lesson 2.3 Density Curves and the Normal Distribution

Lesson 2.4 The Empirical Rule and Assessing Normality

Lesson 2.5 Normal Distributions: Finding Areas from Values

Lesson 2.6 Normal Distributions: Finding Values from Areas

**Chapter 3 Analyzing Two-Variable Data**

Lesson 3.1 Relationships Between Two Categorical Variables

Lesson 3.2 Relationships Between Two Quantitative Variables

Lesson 3.3 Correlation

Lesson 3.4 More about Correlation

Lesson 3.5 Regression Lines

Lesson 3.6 The Least-Squares Regression Line

Lesson 3.7 Assessing a Regression Model

**Chapter 4 Collecting Data**

Lesson 4.1 Introduction to Data Collection

Lesson 4.2 Sampling: Good and Bad

Lesson 4.3 Sampling and Surveys

Lesson 4.4 Inference for Sampling

Lesson 4.5 Observational Studies and Experiments

Lesson 4.6 How to Experiment Well

Lesson 4.7 Inference for Experiments

Lesson 4.8 Using Studies Wisely

**Chapter 5 Probability**

Lesson 5.1 Randomness, Probability, and Simulation

Lesson 5.2 Basic Probability Rules

Lesson 5.3 Two-Way Tables and Venn Diagrams

Lesson 5.4 Conditional Probability and Independence

Lesson 5.5 The General Multiplication Rule and Tree Diagrams

Lesson 5.6 The Multiplication Rule for Independent Events

Lesson 5.7 The Multiplication Counting Principle and Permutations

Lesson 5.8 Combinations and Probability

**Chapter 6 Random Variables**

Lesson 6.1 Two Types of Random Variables

Lesson 6.2 Analyzing Discrete Random Variables

Lesson 6.3 Binomial Random Variables

Lesson 6.4 Analyzing Binomial Random Variables

Lesson 6.5 Normal Approximation to Binomial Distributions

**Chapter 7 Sampling Distributions **Lesson 7.1 What Is a Sampling Distribution?

Lesson 7.2 Sampling Distributions: Center and Variability

Lesson 7.3 The Sampling Distribution of a Sample Proportion

Lesson 7.4 The Sampling Distribution of a Sample Mean

Lesson 7.5 The Central Limit Theorem

**Chapter 8 Estimating a Parameter **Lesson 8.1 The Idea of a Confidence Interval

Lesson 8.2 What Affects the Margin of Error?

Lesson 8.3 Estimating a Proportion

Lesson 8.4 Confidence Intervals for a Proportion

Lesson 8.5 Estimating a Mean

Lesson 8.6 Confidence Intervals for a Mean

**Chapter 9 Testing a Claim** Lesson 9.1 The Idea of a Significance Test

Lesson 9.2 Significance Tests and Decision Making

Lesson 9.3 Testing a Claim about a Proportion

Lesson 9.4 Significance Tests for a Proportion

Lesson 9.5 Testing a Claim about a Mean

Lesson 9.6 Significance Tests for a Mean

**Chapter 10 Comparing Two Populations or Treatments**

Lesson 10.1 Estimating a Difference Between Two Proportions

Lesson 10.2 Testing a Claim about a Difference Between Two Proportions

Lesson 10.3 Estimating a Difference Between Two Means

Lesson 10.4 Testing a Claim about a Difference Between Two Means

Lesson 10.5 Paired Data: Estimating a Mean Difference

Lesson 10.6 Paired Data: Testing a Claim about a Mean Difference

**Chapter 11 Inference for Distributions and Relationships**

Lesson 11.1 Testing the Distribution of a Categorical Variable

Lesson 11.2 Chi-Square Tests for Goodness of Fit

Lesson 11.3 Testing the Relationship Between Two Categorical Variables

Lesson 11.4 Chi-Square Tests for Association

Lesson 11.5 Estimating the Slope of a Least-Squares Regression Line

Lesson 11.6 Testing a Claim about the Slope of a Least-Squares Regression Line

Solutions

Glossary/Glosario

Notes and Data Sources

Index

Table A Standard Normal Probabilities

Table B t Distribution Critical Values

Table C Chi-Square Distribution Critical Values

Table D Random Digits