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AP Statistics Premium, 2024 (2024)

Prepare smarter with AP Statistics Premium, 2024 (2024) , offering a concise yet detailed overview of key topics and practice questions.

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    ® (> J od SruppNyS St t 1 t @® 9 full-length practice tests with detailed answer explanations ® Online practice with a timed test option and scoring ® Comprehensive review and practice for all topics on the exam ® Expert tips plus Barron's “Essential 5” things you need to know Martin Sternstein, Ph.D. AP® is a registered trademark of the College Board, which is not affiliated with Barron's and was not involved in the production of, and does not endorse, this product.

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    Downloaded from StudyXY.com ® + StudyXY Sd Ye. o> \ | iF ’ pr E \ 3 S Stu dy Anything This ContentHas been Posted On StudyXY.com as supplementary learning material. StudyXY does not endrose any university, college or publisher. Allmaterials posted are under the liability of the contributors. wv 8) www.studyxy.com

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    BARRON'S BRAVE, THE TRUSTED NAME IN TEST PREP

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    Scan now a Lied to access practice included with this book, or go to online.barronsbooks.com BARRON'S

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    Acknowledgments Thanks to Kaplan’s Samantha Karasik, editor, and Tara Rupiper, production editor, for their guidance. Dawn Dentato and Paul Buckley have been of immense editorial help with proofreading this edition, and for that I am extremely grateful. Thanks to my brother, Allan, my sister-in-law, Marilyn, my sons, Jonathan and Jeremy, my daughters-in-law, Asia and Cheryl, and my grandchildren, Jaiden, Jordan, Josiah, Luna, Jayme, and Layla, for their heartfelt love and support. Most of all, thanks are due to my wife, Faith, whose love, warm encouragement, and always calm and optimistic perspective on life provide a home environment in which deadlines can be met and goals easily achieved. My sincere appreciation goes to the participants who have attended my AP Statistics workshops for teaching me just as much as I have taught them, and special thanks for their many useful suggestions are due to the following exceptional teachers: David Bock Ithaca High School, Ithaca, NY (retired) Paul Buckley Gonzaga College High School, Washington, DC Dawn Dentato Somers High School, Lincolndale, NY (retired) Jared Derksen Rancho Cucamonga High School, Rancho Cucamonga, CA Sarah Johnson Grand Blanc High School, Grand Blanc, MI Lee Kucera University of California, Irvine, CA Laura Marshall Phillips Exeter Academy, Exeter, NH Brendan Murphy John Bapst Memorial High School, Bangor, ME Leigh Nataro Moravian College, Bethlehem, PA Kenn Pendleton Montgomery College, Germantown, MD Adam Riazi Cabell Midland High School, Ona, WV Penny Smeltzer Austin Peace Academy, Austin, TX Daren Starnes The Lawrenceville School, Lawrenceville, NJ Josh Tabor Canyon del Oro High School, Oro Valley, Arizona Jane Viau Frederick Douglass Academy, New York, NY Dawn White Silver Lake Regional High School, Kingston, MA Luke Wilcox East Kentwood High School, Kentwood, MI Dash Young-Saver KIPP University Prep High School, San Antonio, TX Martin Sternstein Ithaca College | — StudyXY

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    AP® is a registered trademark of the College Board, which is not affiliated with Barron’s and was not involved in the production of, and does not endorse, this product. © Copyright 2023, 2022, 2020, 2019, 2017, 2015, 2013, 2012, 2010, 2007 by Kaplan North America, LLC, d/b/a Barron’s Educational Series © Copyright 2004, 2000, 1998 by Kaplan North America, LLC, d/b/a Barron’s Educational Series, under the title How to Prepare for the AP Advanced Placement Exam in Statistics. All rights reserved under International and Pan-American Copyright Conventions. By payment of the required fees, you have been granted the non-exclusive, non-transferable right to access and read the text of this eBook on screen. No part of this text may be reproduced, transmitted, downloaded, decompiled, reverse engineered, or stored in or introduced into any information storage and retrieval system, in any form or by any means, whether electronic or mechanical, now known or hereinafter invented, without the express written permission of the publisher. Published by Kaplan North America, LLC, d/b/a Barron’s Educational Series 1515 West Cypress Creek Road Fort Lauderdale, Florida 33309 www.barronseduc.com ISBN: 978-1-5062-8815-4 10987654321 Kaplan North America, LLC, d/b/a Barron’s Educational Series print books are available at special quantity discounts to use for sales promotions, employee premiums, or educational purposes. For more information or to purchase books, please call the Simon & Schuster special sales department at 866- 506-1949. I~ StudyXY

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    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.

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    Table of Contents How to Use This Book Barron’s Essential 5 Exam Overview PART 1: DIAGNOSTIC TEST Diagnostic Test Answer Key Answer Explanations AP Score for the Diagnostic Test Study Guide for the Diagnostic Test Multiple-Choice Questions PART 2: UNITS REVIEW UNIT 1: Exploring One-Variable Data Categorical Variables Representing a Quantitative Variable with Tables and Graphs Describing the Distribution of a Quantitative Variable Quiz 1 Summary Statistics for a Quantitative Variable Graphical Representations of Summary Statistics Comparing Distributions of a Quantitative Variable Quiz 2 The Normal Distribution Quiz 3 Summary UNIT 2: Exploring Two-Variable Data

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    Two Categorical Variables Quiz 4 Two Quantitative Variables Correlation Least Squares Regression Residuals Outliers, Influential Points, and Leverage More on Regression Transformations to Achieve Linearity Quiz 5 Quiz 6 Summary UNIT 3: Collecting Data Retrospective Versus Prospective Observational Studies Bias Sampling Methods Sampling Variability Quiz 7 Experiments Versus Observational Studies The Language of Experiments Replication and Generalizability of Results Inference and Experiments Quiz 8 Summary UNIT 4: Probability, Random Variables, and Probability Distributions The Law of Large Numbers Basic Probability Rules Multistage Probability Calculations Quiz 9 Random Variables, Means (Expected Values), and Standard Deviations Means and Variances for Sums and Differences of Sets Means and Variances for Sums and Differences of Random Variables Transforming Random Variables

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    Quiz 10 Binomial Distribution Geometric Distribution Quiz 11 Cumulative Probability Distribution Summary UNIT 5: Sampling Distributions Normal Distribution Calculations Quiz 12 Central Limit Theorem Biased and Unbiased Estimators Sampling Distribution for Sample Proportions Sampling Distribution for Differences in Sample Proportions Sampling Distribution for Sample Means Sampling Distribution for Differences in Sample Means Simulation of a Sampling Distribution Quiz 13 Summary UNIT 6: Inference for Categorical Data: Proportions The Meaning of a Confidence Interval Conditions for Inference Confidence Interval for a Proportion Quiz 14 Quiz 15 Logic of Significance Testing Significance Test for a Proportion Confidence Interval for the Difference of Two Proportions Significance Test for the Difference of Two Proportions Quiz 16 Quiz 17 Summary UNIT 7: Inference for Quantitative Data: Means

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    The t-Distribution Confidence Interval for a Mean Quiz 18 Significance Test for a Mean Confidence Interval for the Difference of Two Means Significance Test for the Difference of Two Means Paired Data Quiz 19 Simulations and P-Values Quiz 20 More on Power, Type I Errors, and Type II Errors Quiz 21 Confidence Intervals versus Hypothesis Tests Summary UNIT 8: Inference for Categorical Data: Chi-Square Chi-Square Test for Goodness-of-Fit Chi-Square Test for Independence Chi-Square Test for Homogeneity Quiz 22 Summary UNIT 9: Inference for Quantitative Data: Slopes Sampling Distribution for the Slope Confidence Interval for the Slope of a Least Squares Regression Line Hypothesis Test for Slope of Least Squares Regression Line Quiz 23 Quiz 24 Summary PART 3: FINAL REVIEW Final Review Selecting an Appropriate Inference Procedure Quiz 25

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    Quiz 26 Statistical Insights into Social Issues Quiz 27 Quiz 28 The Investigative Task: Free-Response Question 6 Quiz 29 50 Misconceptions 50 Common Errors on the AP Exam 50 AP Exam Hints, Advice, and Reminders PART 4: PRACTICE TESTS Practice Test 1 Answer Key Answer Explanations Practice Test 2 Answer Key Answer Explanations Practice Test 3 Answer Key Answer Explanations Practice Test 4 Answer Key Answer Explanations Practice Test 5 Answer Key Answer Explanations PART 5: APPENDICES Appendices

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    Formulas Graphical Displays Checking Assumptions for Inference Independence More on Residuals Answer Explanations for Quizzes 1-29 AP Scoring Guide Basic Uses of the TI-84 Basic Uses of the Casio Prizm Basic Uses of the HP Prime Table A: Standard Normal Probabilities Table B: t-Distribution Critical Values Table C: x? Critical Values

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    How to Use This Book This book provides comprehensive review and extensive practice for the latest AP Statistics course and exam. About the Exam Start with the Exam Overview, which outlines the exam format. Familiarize yourself with all of the units covered on this test, review the different question types, and learn how the exam will be scored. Diagnostic Test Next, take the full-length diagnostic test in Part 1 to determine which topics you know well and which ones you may want to brush up on. Complete the entire test, and then check all of the answer explanations, especially for any questions you may have missed. Then, consult the Study Guide for units in the book that you should focus your review on. Review and Practice Study all 9 chapters in Part 2, which are organized according to the nine units of AP Statistics, and cover the topics recommended by the AP Statistics Development Committee. Every chapter includes Learning Objectives that will be covered, a review of each topic, dozens of figures and tables that illustrate key concepts, and end-of-chapter summaries. Interspersed among these units are 29 quizzes (mini-AP exams with both multiple-choice and free-response questions), which should be used as progress checks. Then, consult Part 3, the Final Review, which has several invaluable sections. m “Selecting an Appropriate Inference Procedure” offers hints on inference recognition followed by two quizzes on naming the procedure to use, defining parameters, listing conditions to be checked, and stating hypotheses, if appropriate. m “Statistical Insights into Social Issues” includes two quizzes of comprehensive review questions that cover the whole AP Statistics curriculum. These quizzes aim to give an appreciation of the power of statistics and show how this subject gives insights into some of society’s most pressing issues. m “The Investigative Task” helps you prepare for free-response Question 6, which counts for one- + StudyXxy

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    eighth of your total grade on the exam; there are three illustrative examples followed by a quiz with seven practice investigative tasks. m “50 Misconceptions,” “50 Common Errors on the AP Exam,” and “50 AP Exam Hints, Advice, and Reminders” provide tips to remember and pitfalls to avoid on test day. Practice Tests There are five full-length practice tests in the book that mirror the actual exam in format, content, and level of difficulty. Each test is followed by detailed answers and explanations for all questions. Appendices The end of this book consists of a series of helpful appendices, including the answers and explanations for all quizzes, important formulas to know, basic uses for common graphing calculators, and much more. Be sure to go over these sections before completing your final review. Online Practice There are also three additional full-length practice tests online where all questions are answered and explained. You may take these tests in practice (untimed) mode or in timed mode. For Students This book is intended both as a topical review during the year and as a final review in the weeks before the AP exam. Study the text and illustrative examples carefully, and try to complete the practice quiz problems before referring to the solutions. Simply reading the detailed explanations without first striving to work through the questions on your own is not the best approach. Remember, mathematics is not a spectator sport! Use the practice quizzes at appropriate times throughout the school year, and you will develop confidence and a deeper understanding of the material. A good piece of advice is to develop critical practices (like checking assumptions and conditions), acquire strong technical skills, and always write clear and thorough, yet to the point, interpretations and conclusions in context. Final answers to most problems should not be numbers, but rather sentences explaining and analyzing numerical results. To help develop skills and insights to tackle AP free-response questions (which often choose contexts students haven’t seen before), read newspapers and magazines, and figure out how to apply what you are learning to better understand articles that reference numbers, graphs, and studies. The AP Statistics course is one of the fastest growing and most important + StudyXY

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