Statistics and Probability with Applications (High School)

Fourth Edition | ©2021 Daren Starnes; Josh Tabor; Luke Wilcox

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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.

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Contents

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