AP Statistics Premium, 2023-2024: 9 Practice Tests + Comprehensive Review + Online Practice

by Martin Sternstein Ph.D.

Overview

Always study with the most up-to-date prep! Look for AP Statistics Premium, 2024: 9 Practice Tests + Comprehensive Review + Online Practice, ISBN 9781506288147, on sale July 4, 2023.

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Product Details

ISBN-13:	9781506280097
Publisher:	Barrons Educational Services
Publication date:	08/02/2022
Series:	Barron's AP
Edition description:	Twelfth Edition
Pages:	648
Product dimensions:	8.30(w) x 10.80(h) x 1.60(d)
Age Range:	14 - 17 Years

About the Author

​About the Author
Dr. Martin Sternstein, Professor Emeritus at Ithaca College, was honored by Princeton Review as one of the nation’s “300 Best College Professors.” He is a long-time College Board consultant and has been a Reader and Table Leader for the AP Statistics exam for many years. He has strong interests in national educational and social issues concerning equal access to math education for all. For two years, he was a Fulbright Professor in Liberia, West Africa, after which he developed a popular “Math in Africa” course, and he is the only mathematician to have given a presentation at the annual Conference on African Linguistics. He also taught the first U.S. course for college credit in chess theory.

About the Publisher
Many great things begin with a tiny spark, and for Manuel H. Barron that spark came from a mimeograph machine in the basement of his Brooklyn, NY, bookstore in the late 1930s. People from the community asked Mr. Barron for books to help their children study for the New York State Regents exams. After realizing there wasn't anything available, Mr. Barron created his own study guides.

Now, more than 80 years later, Barron’s continues to help millions of learners worldwide prepare for their next steps. With offerings from pre-college prep to world language guides and professional certification exams, Barron’s wants to be part of your success story no matter what learning path you’re on. You can trust Barron’s to provide exceptional products created only by top experts with years of experience in education. From generation to generation, our mission remains the same: Learn, grow, and succeed with Barron’s throughout your life-long learning journey.

Table of Contents

How to Use This Book x

Barron's Essential 5 xii

Exam Overview 1

Part 1 Diagnostic Test

Diagnostic Test 7

Answer Key 26

Answer Explanations 26

AP Score for the Diagnostic Test 37

Study Guide for the Diagnostic Test Multiple-Choice Questions 38

Part 2 Units Review

Unit 1 Exploring One-Variable Data 41

Categorical Variables 41

Representing a Quantitative Variable with Tables and Graphs 44

Describing the Distribution of a Quantitative Variable 49

Quiz 1 53

Summary Statistics for a Quantitative Variable 59

Graphical Representations of Summary Statistics 68

Comparing Distributions of a Quantitative Variable 73

Quiz 2 76

The Normal Distribution 82

Quiz 3 85

Summary 87

Unit 2 Exploring Two-Variable Data 89

Two Categorical Variables 90

Quiz 4 97

Two Quantitative Variables 101

Correlation 104

Least Squares Regression 106

Residuals 110

Outliers, Influential Points, and Leverage 114

More on Regression 117

Transformations to Achieve Linearity 118

Quiz 5 121

Quiz 6 129

Summary 134

Unit 3 Collecting Data 135

Retrospective Versus Prospective Observational Studies 136

Bias 137

Sampling Methods 138

Sampling Variability 141

Quiz 7 143

Experiments Versus Observational Studies 148

The Language of Experiments 149

Replication and Generalizability of Results 153

Inference and Experiments 154

Quiz 8 156

Summary 159

Unit 4 Probability, Random Variables, and Probability Distributions 161

The Law of Large Numbers 162

Basic Probability Rules 163

Multistage Probability Calculations 165

Quiz 9 167

Random Variables, Means (Expected Values), and Standard Deviations 172

Means and Variances for Sums and Differences of Sets 174

Means and Variances for Sums and Differences of Random Variables 176

Transforming Random Variables 177

Quiz 10 179

Binomial Distribution 182

Geometric Distribution 187

Quiz 11 190

Cumulative Probability Distribution 194

Summary 196

Unit 5 Sampling Distributions 197

Normal Distribution Calculations 198

Quiz 12 205

Central Limit Theorem 210

Biased and Unbiased Estimators 212

Sampling Distribution for Sample Proportions 215

Sampling Distribution for Differences in Sample Proportions 217

Sampling Distribution for Sample Means 219

Sampling Distribution for Differences in Sample Means 221

Simulation of a Sampling Distribution 224

Quiz 13 225

Summary 232

Unit 6 Inference for Categorical Data: Proportions 233

The Meaning of a Confidence Interval 234

Conditions for Inference 234

Confidence Interval for a Proportion 236

Quiz 14 241

Quiz 15 244

Logic of Significance Testing 247

Significance Test for a Proportion 248

Confidence Interval for the Difference of Two Proportions 251

Significance Test for the Difference of Two Proportions 253

Quiz 16 256

Quiz 17 261

Summary 266

Unit 7 Inference for Quantitative Data: Means 269

The t-distribution 270

Confidence Interval for a Mean 271

Quiz 18 275

Significance Test for a Mean 279

Confidence Interval for the Difference of Two Means 281

Significance Test for the Difference of Two Means 282

Paired Data 284

Quiz 19 287

Simulations and P-Values 292

Quiz 20 294

More on Power, Type I Errors, and Type II Errors 297

Quiz 21 299

Confidence Intervals Versus Hypothesis Tests 302

Summary 303

Unit 8 Inference for Categorical Data: Chi-Square 305

Chi-Square Test for Goodness-of-Fit 305

Chi-Square Test for Independence 309

Chi-Square Test for Homogeneity 313

Quiz 22 315

Summary 318

Unit 9 Inference for Quantitative Data: Slopes 319

Sampling Distribution for the Slope 319

Confidence Interval for the Slope of a Least Squares Regression Line 320

Hypothesis Test for Slope of Least Squares Regression Line 324

Quiz 23 328

Quiz 24 333

Summary 338

Part 3 Final Review

Final Review 341

Selecting an Appropriate Inference Procedure 341

Quiz 25 344

Quiz 26 346

Statistical Insights into Social Issues 348

Quiz 27 350

Quiz 28 359

The Investigative Task: Free-Response Question 6 366

Quiz 29 373

50 Misconceptions 380

50 Common Errors on the AP Exam 386

50 AP Exam Hints, Advice, and Reminders 389

Part 4 Practice Tests

Practice Test 1 397

Answer Key 415

Answers and Explanations 415

Practice Test 2 427

Answer Key 442

Answers and Explanations 442

Practice Test 3 453

Answer Key 472

Answers and Explanations 472

Practice Test 4 483

Answer Key 502

Answers and Explanations 502

Practice Test 5 515

Answer Key 533

Answers and Explanations 533

Part 5 Appendices

Appendices 543

Formulas 543

Graphical Displays 546

Checking Assumptions for Inference 547

Independence 548

More on Residuals 549

Answer Explanations for Quizzes 1-29 550

AP Scoring Guide 613

Basic Uses of the TI-84 614

Basic Uses of the Casio Prizm 616

Basic Uses of the HP Prime 618

Table A: Standard Normal Probabilities 620

Table B: t-Distrlbution Critical Values 622

Table C: χ² Critical Values 623

Index 625