5 Steps to a 5: AP Statistics 2021 Elite Student Edition

by Corey Andreasen, DeAnna Krause McDonald

Overview

MATCHES THE LATEST EXAM!

In this hybrid year, let us supplement your AP classroom experience with this multi-platform study guide.

The immensely popular 5 Steps to a 5 AP Statistics Elite edition guide has been updated for the2020-21 school year and now contains:

• 3 full-length practice exams (in the book and online) that reflect the latest exam
• “5 Minutes to a 5” section — a 5-minute activity for each day of the school year that reinforces the most important concepts covered in class
• Up-to-Date Resources for COVID 19 Exam Disruption
• Access to a robust online platform
• Comprehensive overview of the AP Statistics exam format
• Hundreds of practice exercises with thorough answer explanations
• Proven strategies specific to each section of the test
• A self-guided study plan including flashcards, games, and more online

Product Details

ISBN-13:	9781260467185
Publisher:	McGraw-Hill Professional Publishing
Publication date:	10/02/2020
Pages:	608
Product dimensions:	8.40(w) x 10.60(h) x 1.10(d)
Age Range:	13 - 17 Years

About the Author

Corey Andreasen teaches mathematics and AP Statistics at Sheboygan North High School in Sheboygan, Wisconsin.

DeAnna Krause McDonald has taught AP Statistics for 20 years at Palo Verde and University high schools in Tucson, Arizona. She currently teaches Statistics courses for the University of Arizona department of Mathematics.

Table of Contents

Preface ix

Acknowledgments xi

About the Authors xiii

Introduction: The Five-Step Program xv

Step 1 Set Up Your Study Program 1

1 What You Need to Know About the AP Statistics Exam 3

Background Information 3

Some Frequently Asked Questions About the AP Statistics Exam 4

2 How to Plan Your Time 10

Three Approaches to Preparing for the AP Statistics Exam 10

Calendar for Each Plan 12

Step 2 Determine Your Test Readiness 15

3 Take a Diagnostic Exam 17

AP Statistics Diagnostic Test 21

Answers and Explanations 32

Interpretation: How Ready Are You? 41

Section I Multiple-Choice Questions 41

Section II Free-Response Questions 41

Composite Score 41

Step 3 Develop Strategies for Success 43

4 Tips for Taking the Exam 45

General Test-Taking Tips 46

Tips for Multiple-Choice Questions 47

Tips for Free-Response Questions 47

Specific Statistics Content Tips 49

Step 4 Review the Knowledge You Need to Score High 51

5 One-Variable Data Analysis 53

Descriptive versus Inferential Statistics 54

Parameters versus Statistics 54

Quantitative versus Categorical (Qualitative) Data 54

Graphical Analysis 55

Measures of Center 60

Estimating Means and Medians From Grouped Data 62

Measures of Spread 65

Position of a Term in a Distribution 68

Normal Distribution 70

Rapid Review 74

Practice Problems 75

Cumulative Review Problems 81

Solutions to Practice Problems 81

Solutions to Cumulative Review Problems 86

6 Two-Variable Data Analysis 88

Scatterplots 88

Correlation 90

Linear Models 94

Residuals 97

Coefficient of Determination 99

Outliers and Influential Observations 100

Transformations to Achieve Linearity 101

Rapid Review 103

Practice Problems 104

Cumulative Review Problems 110

Solutions to Practice Problems 111

Solutions to Cumulative Review Problems 114

7 Design of a Study: Sampling, Surveys, and Experiments 116

Samples 117

Sampling Bias 119

Experiments and Observational Studies 121

Rapid Review 126

Practice Problems 127

Cumulative Review Problems 132

Solutions to Practice Problems 132

Solutions to Cumulative Review Problems 136

8 Probability and Random Variables 138

Probability 138

Random Variables 144

Normal Probabilities 148

Simulation and Random Number Generation 150

Transforming and Combining Random Variables 152

Rules for the Mean and Standard Deviation of Combined Random Variables 153

Rapid Review 154

Practice Problems 155

Cumulative Review Problems 161

Solutions to Practice Problems 162

Solutions to Cumulative Review Problems 168

9 Binomial Distributions, Geometric Distributions, and Sampling Distributions 169

Binomial Distributions 169

Normal Approximation to the Binomial 172

Geometric Distributions 174

Sampling Distributions 175

Sampling Distributions of a Sample Proportion 179

Rapid Review 180

Practice Problems 181

Cumulative Review Problems 185

Solutions to Practice Problems 186

Solutions to Cumulative Review Problems 191

10 Inference: Estimating with Confidence Intervals 192

Estimation and Confidence Intervals 193

Formula for a Confidence Interval for a Proportion 195

Conditions for a Confidence Interval for a Proportion 195

Construct and Interpret a Confidence Interval for a Proportion 196

Confidence Level as a Capture Rate 197

Sample Size 205

Rapid Review 207

Practice Problems 209

Cumulative Review Problems 215

Solutions to Practice Problems 215

Solutions to Cumulative Review Problems 220

11 Inference: Testing Hypotheses 222

Statistical Significance and P-Value 223

The Hypothesis-Testing Procedure 224

Recap of Hypothesis (Significance) Testing 226

Inference for a Single Population Proportion 227

Type I and Type II Errors and the Power of a Test 229

Inference for the Difference Between Two Population Proportions 232

z-Procedures versus t-Procedures 233

Inference for a Single Population Mean 234

Inference for the Difference Between Two Population Means 237

Rapid Review 239

Practice Problems 242

Cumulative Review Problems 248

Solutions to Practice Problems 248

Solutions to Cumulative Review Problems 255

12 Inference for Regression 257

Simple Linear Regression 257

Inference for the Slope of a Regression Line 259

Confidence Interval for the Slope of a Regression Line 262

Inference for Regression Using Technology 263

Rapid Review 264

Practice Problems 266

Cumulative Review Problems 269

Solutions to Practice Problems 270

Solutions to Cumulative Review Problems 273

13 Inference for Categorical Data: Chi-Squared Tests 275

Chi-Square Goodness-of-Fit Test 275

Inference for Two-Way Tables 280

Rapid Review 286

Practice Problems 287

Cumulative Review Problems 292

Solutions to Practice Problems 292

Solutions to Cumulative Review Problems 296

14 Free Response Question 6: The Investigative Task 297

Solution 300

General Tips for the Investigative Task 301

Step 5 Build Your Test-Taking Confidence 303

AP Statistics Practice Test 1 305

AP Statistics Practice Test 2 329

Elite Student Edition 5 Minutes to a 5 180 Daily Questions and Activities 351

Appendixes 569

Formula Sheet 571

Tables 573

Bibliography 577

Websites 579

Glossary 581