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2016 AP Administration Statistics Practice Test NOTE: This is a modified version of the 2016 AP Statistics Exam. This test may not be posted on school or personal websites or redistributed electronically for any reason. This published exam is provided by the College Board for AP exam preparation. Teachers are permitted to download the material and make copies for use with their students in the classroom only. To maintain the security of this test, the teacher must collect all test material after administration and store it in a safe place. Further distribution of this material outside of the secure Colleg and Board website puts teachers at a disadvantage who rely on non-recurring questions for classroom testing. Any other distribution is a violation of the Colleg and Board's copyright policies and may result in termination of access to your school's practice test, as well as removal of access to other online services. such as the A P teacher community and online score reports.

Content Test Instructions Student Answer Sheet for Multiple Section Section I: Multiple Choice Questions Section II: Free Answer Questions Multiple Choice Answer Key Free Answer Scoring Guidelines Scoring Sheet Question Descriptors and Performance Data Score : This publication shows the page numbers that appeared in the 2015 -16 AP Exam Instruction Book and the actual exam. This publication has not been redesigned to start on page 1. © 2016 The College Board. College Board, Advanced Placement Program, AP, SAT and the acorn logo are registered trademarks of the College Board. All other products and services may be trademarks of their respective owners. Permission to use College Board copyrighted materials can be requested online at: www.collegeboard.com/inquiry/cbpermit.html.

Exam Instructions The following are instructions taken from the AP 2015-16 Exam Instructions book.

268 Students are expected to bring graphing calculators with statistical capabilities to the AP Statistics Exam. Non-graphical scientific calculators are permitted as long as they have the necessary computational capabilities. Before starting the test, make sure that each student has a graphing calculator from the approved list on page 47 of the 2015 AP Coordinator's Handbook - 16 or a scientific calculator. It is up to the student to determine whether a non-graphical scientific calculator has the necessary computational resources. If a student does not have a approved list graphing calculator or appropriate scientific calculator, you can provide one from your inventory. See pages 44-47 of the AP Coordinator Handbook for more information. If the student does not wish to use the calculator provided, or does not wish to use a calculator at all, the student must copy, date and sign the release statement on page 45 of the AP Coordinator Handbook. Students may not have more than two calculators on their desks. Calculators cannot be shared. It is not necessary to clear the calculator's memories before or after the test. Students with Hewlett-Packard 48–50 Series and Casio FX-9860 graphing calculators can use cards designed for use with these calculators. Supervisors should ensure that the infrared (Hewlett-Packard) ports are not facing each other. Because graphing calculators can be used to store data, including text, supervisors should monitor that students are using their calculators properly. Student Attempts What Inspectors Should Bring to This Exam • Test Packets • Answer Sheets • AP Student Packets • 2 015 - 1 6 AP Coordinator's Handbook • This Book - AP Exam Instructions • Test Template(s) AP Exam Seating Chart • School Code and Home-School/Self-Study Codes • Extra Graphing Calculators • Pencil Sharpener • Container for Student Electronic Devices (if needed) • Extra #2 Pencils with Erasers • Extra Pens with Black Ink or dark blue • Extra paper • Stapler • Clock • Testing room door signs – “Exam in progress” – “Cell phones not allowed in testing room” AP® Statistics Exam Regularly Scheduled Exam date: Thursday afternoon , May 12, 2016 Late Assessment Exam Date: Wednesday Morning, May 18, 2016 Section I Total Time: 1h. 30 minutes. Section II Total Time: 1 hr. 30 minutes. Section I Total Time: 1 hour and 30 minutes Expected Graph Calculator Number of Questions: 40* Percentage of Total Score: 50% Writing Instrument: Pencil Required *The number of questions may vary slightly depending on the form of the exam. Section II Total Time: 1 hour and 30 minutes Expected Graphing Calculator Number of Questions: 6 Percent of Total Score: 50% Writing Instrument: Pen or pencil with black or dark blue ink? 2016 University Council. Visit the College Board on the Web: www.col\legeboard.org.

269 ​​​​​​AP Exam Instructions to use the calculator to remove exam questions and/or answers from the room may result in cancellation of AP exam scores. SECTION I: Multiple Choice ! Do not begin the exam instructions below before completing the appropriate General Instructions for your group. Make sure you start the exam at the designated time. Remember that you must complete a seating chart for this exam. See pages 305 and 306 for a sample seating plan and instructions. See the 2015-16 AP Coordinator Handbook for exam seating requirements (pages 49-52). If you're taking the regularly scheduled test, say: It's Thursday afternoon, May 12th, and you're taking the AP Statistics Exam. If you are taking the alternate exam for late tests, say: It's Wednesday morning, May 18th, and you will be taking the AP Statistics Exam. In a moment, you will open the package containing your exam materials. By opening this package, you agree to all AP Program policies and procedures outlined in the AP Student and Parent Bulletin 2015-16. You may now unwrap your trial pack and remove the Section I booklet, but do not open the Section II booklet or packaged materials. Leave the white stamps aside. . . . Carefully remove the AP exam label near the top left corner of the test booklet cover. Now put it on page 1 of your answer sheet in the light blue box near the top right that says "AP Exam Label". If students accidentally place the test tag in the number tag space or vice versa, advise them to leave the tags in place. They must not try to remove the label; your exam can still be successfully processed. Read the statements on the cover of Section I and look them up when finished. . . . Sign your name and write today's date. Look up when finished. . . . Now enter your full legal name where indicated. Are there any questions? . . . Go to the back cover of your test booklet and read it completely. Look up when finished. . . . Are there any questions? . . . You will now take the multiple-choice portion of the exam. You should have the multiple choice booklet and your answer sheet in front of you. Open your answer sheet to page 2. You must never discuss these specific multiple-choice questions at any time or in any way with anyone, including your teacher and other students. If you disclose these questions by any means, your AP exam score will be void. STATISTICS ? 2016 University Council. Visit the College Board on the Web: www.col\legeboard.org.

270 You should complete the answer sheet using only a #2 pencil. Mark all your answers starting on page 2 of your answer sheet, one answer per question. Completely fill in the circles. If you must erase, do so carefully and completely. No credit will be given for anything written in the test booklet. Scratch paper is not allowed, but you can use the margins or any blank space in the test booklet for your scratch paper. Calculators can be used for both sections of this exam. You can place your calculators on your desk. Are there any questions? . . . You have 1 hour and 30 minutes for this section. Open your Section I handout and get started. 126 3 9 Note the start time here. Please note the stop time here. Make sure students are marking their answers in pencil on their answer sheets and not looking at the plastic-wrapped Section II handouts. Supervisors should circulate and ensure that the infrared ports on Hewlett-Packard calculators are not facing each other and that students are not sharing calculators. After 1 hour and 20 minutes, say: 10 minutes to go. After 10 minutes say: Stop working. Close the booklet and place the answer sheet face up on the table. Make sure you have your AP number tag and an AP exam tag on page 1 of your answer sheet. Sit quietly while I collect your answer sheets. Collect an answer sheet from each student. Make sure each answer sheet has an AP number label and an AP exam label. After collecting all the answer sheets, say: Now you must seal your test notebook with the white seals that you set aside earlier. Remove the white stamps from the back and press one onto each area of ​​the test book cover marked “PUT STAMP HERE”. Fold each stamp over the back cover. When finished, place the flyer face up on your desk. Now I'm going to get your Section I handout. . Take a Section I booklet from each student. Make sure each student has signed the sealed booklet cover for Section I. There is a 10-minute break between Sections I and II. When all materials from Section I have been collected and accounted for and you are ready for the break, say: Please listen carefully to these instructions before taking a 10-minute break. Any items you placed under your chair at the start of this exam must remain there, and you are not permitted to open or access them in any way. Please leave your plastic-wrapped Section II packet on your desk during the break. You are not allowed to consult teachers, other students, notes or textbooks during break. You may not make phone calls, send text messages, use calculators, check email, use a social networking site, or access any electronic or communications device. Remember, you must never discuss multiple choice questions at any time or in any way with anyone, including your teacher and other students. If you disclose these questions by any means, your AP exam score will be void. Are there any questions? . . . 12 6 3 9 You can start your break. The test will resume in . Statistics ? 2016 University Council. Visit the College Board on the Web: www.col\legeboard.org.

271 SECTION II: Free Response After the break, say: Can I get everyone's attention? Place your Student Pack on your desk. . . . You may now remove the plastic wrapper from the Section II package, but do not open the test booklet until instructed to do so. . . . Read the bulleted statements on the cover of the test booklet. Look up when finished. . . . Now take a sticker with your Student Pack AP number and place it in the shaded box. If you don't have an AP number tag, write your AP number on the box. Look up when finished. . . . Read the last statement. . . . Using a ballpoint pen with black or dark blue ink, write the first, second and last initials of your legal name in the boxes and write today's date where indicated. This constitutes your signature and your agreement with the statements on the cover. . . . Open the back cover and, using your pen, fill in item 1 under "Important Identification Information". Type the first two letters of your last name and the first letter of your first name in the boxes. Look up when finished. . . . In item 2, write your date of birth in the boxes. . . . In item 3, write on the boxes the school code that you printed on the front of your student pack. . . . Read point 4. . . . Are there any questions? . . . I need to purchase the Student Pack for anyone taking another AP exam. You can keep it only if you are not taking any other AP exams this year. If you don't have any other AP exams to take, put your student pack under your chair now. . . . Read the information on the back cover of the test booklet. Do not open the leaflet until instructed to do so. Look up when finished. . . . Take the packages from the students. Then say: Are there any questions? . . . Section II consists of two parts. You have 1 hour and 30 minutes to complete all of Section II. You are responsible for controlling your own pace and are free to move from one part to another. You should write your answers in the test booklet using a ballpoint pen with black or dark blue ink or a #2 pencil. If you use a pencil, make sure your writing is dark enough to read easily. If you need more paper during the test, raise your hand. At the top of each additional sheet of paper you use, be sure to only write your AP number and the question number you are working on. Do not write your name. Are there any questions? . . . AP ESTAT I ST IC S Exam Instructions? 2016 University Council. Visit the College Board on the Web: www.col\legeboard.org.

272 Statistics You can start Part A. 126 3 9 Write the start time here. Please note the stop time here. You should also make sure that the infrared ports on Hewlett-Packard calculators are not facing each other and that students are not sharing calculators. After 1 hour and 5 minutes say: 25 minutes to go and you can skip to Part B if you haven't already started answering this question. After 15 minutes, say: 10 minutes left. After 10 minutes say: Stop working and close your test book. Place it on your desk, face up. . . . If any students used extra paper for a question in the Free Answer section, ask them to staple the extra sheet(s) to the first page of that question in their test notebooks. Complete an incident report. A single Incident Report may be filed for multiple students per exam subject per administration (regular or late test) provided all required information is provided. Place all test booklets with extra sheets of paper in an Incident Report return envelope (see page 60 of the 2015-16 AP Coordinator Handbook for complete details). Then say: Please remain in your seat without speaking while the test materials are collected. . . . Collect a Section II booklet from each student. Check the following: • Test book cover: The student has placed an AP number label in the shaded box and printed his initials and today's date. • Test Booklet Back Cover – Student has completed the “Important Identification Information” area. When all test materials have been collected and accounted for, return to students any electronic devices you collected prior to the start of the test. If you are taking the test regularly, say: You may not discuss or share these specific free-response questions with anyone unless they are posted on the College Board website in approximately two days. AP exam score results will be available online in July. If you are taking the alternate test for late tests, please say: None of the questions on this test may be discussed or shared in any way at any time. AP exam score results will be available online in July. If any student filled out the AP number card at the beginning of this exam, please say: Remember to take your AP number card with you. You will need the information on this card to view your scores and order online AP score reporting services. ? 2016 University Council. Visit the College Board on the Web: www.col\legeboard.org.

273 Then say: Now you're fired. All test materials must be kept in a secure location until returned to the AP Program after your school's last administration. Before storing materials, check the “For School Use Only” section on page 1 of the answer sheet and: • Circle the appropriate section number to access a separate AP Instructional Planning Report (for exams only). regularly scheduled) or a list of subject scores in the Class or Teacher Level section. See “Post-Exam Activities” in the 2015-16 AP Coordinator Handbook. • Check your list of students eligible for fee reduction and fill in the appropriate circle on your registration answer sheets. Be sure to give the completed seating chart to the AP Coordinator. Schools must maintain seating charts for at least six months (unless the state or district requires that they be maintained for a longer period of time). Schools must not return seating plans in their exam shipments unless required as part of an Incident Report. AP ESTAT I ST IC S Exam Instructions? 2016 University Council. Visit the College Board on the Web: www.col\legeboard.org.

Student Answer Sheet for Multiple Choice Section Use this section to record student responses. (Please note that the following answer sheet is a sample and may differ from the one used on an actual exam.)

Please sign your legal name as it will appear on your college applications. Date In order to maintain exam security and the validity of my AP score, I will not allow anyone else to see the multiple choice questions. I will seal the multiple-choice booklet when requested and will not discuss these questions with anyone at any time after completing the section. I am aware of and agree to the AP Program policies and procedures as outlined in the 2015-16 AP Student and Parent Newsletter, including the use of trial accommodations (eg, extra time, computer\, etc.) only if I have been pre-approved by the College Board Services for Students with Disabilities. FILL IN THIS AREA FOR EACH EXAM. USE # 2 PENCILS ONLY A. SIGNATURE PAGE 1 AP Exam Label (from Section I booklet) AP Number Label (from student packet) Answer Sheet 2 016 B. LEGAL NAME Omit apostrophes, Jr., II. cool first name First 12 letters cool last name? First 15 Letters MI A A A A A A A A A A A A A A A B B B B B B B B B B B B B B B C C C C C C C C C C C C C C C D D D D D D D D D D D D D D D E E E E E E E E E E E E E E E F F F F F F F F F F F F F F F G G G G G G G G G G G G G G G H H H H H H H H H H H H H H H I I I I I I I I I I I I I I I J J J J J J J J J J J J J J J K K K K K K K K K K K K K K K L L L L L L L L L L L L L L L M M M M M M M M M M M M M M M N N N N N N N N N N N N N N N O O O O O O O O O O O O O O O P P P P P P P P P P P P P P P Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q R R R R R R R R R R R R R R R S S S S S S S S S S S S S S S T T T T T T T T T T T T T T T U U U U U U U U U U U U U U U V V V V V V V V V V V V V V V W W W W W W W W W W W W W W W X X X X X X X X X X X X X X X Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z – – – – – – – – – – – – – 1 2 3 4 5 6 7 8 9 A A A A A A A A A A A A A B B B B B B B B B B B B B C C C C C C C C C C C C C D D D D D D D D D D D D D E E E E E E E E E E E E E F F F F F F F F F F F F F G G G G G G G G G G G G G H H H H H H H H H H H H H I I I I I I I I I I I I I J J J J J J J J J J J J J K K K K K K K K K K K K K L L L L L L L L L L L L L M M M M M M M M M M M M M N N N N N N N N N N N N N O O O O O O O O O O O O O P P P P P P P P P P P P P Q Q Q Q Q Q Q Q Q Q Q Q Q R R R R R R R R R R R R R S S S S S S S S S S S S S T T T T T T T T T T T T T U U U U U U U U U U U U U V V V V V V V V V V V V V W W W W W W W W W W W W W X X X X X X X X X X X X X Y Y Y Y Y Y Y Y Y Y Y Y Y Z Z Z Z Z Z Z Z Z Z Z Z Z – – – – – – – – – – 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 0 0 1 1 2 2 3 3 4 5 6 7 8 9 6 12 7 1 8 2 9 3 10 4 11 5 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 S D. EXAM DATE C. YOUR NUMBER AP Month AM PM F. AP H.AP SERIAL NUMBER MULTIPLE CHOICE OIO EXAM I AM TAKING WITH THIS ANSWER SHEET Exam Name: Form Code: Form: FILL OUT THIS AREA ONLY ONCE. FOR SCHOOL USE ONLY Fee Reduction Granted Section Number Option 1 Option 2 E. EXAM START TIME 0 0 1 1 2 3 4 5 6 7 8 9 1 2 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 G. ONLINE PROVIDER CODE Day O. STUDENT SEARCH SERVICE ® Colleges and scholarship programs may request your information to inform you of educational opportunities and financial aid . Do you want us to provide you with your data? If you do not respond and have previously chosen to participate in this service, we will continue to provide your data. Yes No 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 L. SOCIAL SECURITY NUMBER (Optional) 108603-00657 • TF216E4757.5 • Printed in USA Q4068/1- 4 UNIVERSITY CODE 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 M. COLLEGE TO RECEIVE YOUR AP SCORE REPORT College Name State Country Using the College Code from the PA Student Packet, indicate the ONLY college you attended and want to study receive your AP score report. City SCHOOL CODE 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 School Name State Country J. SCHOOL ATTENDED City 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 INTERNATIONAL TELEPHONE I. AREA CODE AND TELEPHONE NUMBER 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Month Day Year K. DATE OF BIRTH CURRENT GRADE NO. Still not in grade 9 9 10 B123456789T 785208 11 12 No longer in grade high school

Q. LANGUAGE — Do not complete this section unless instructed to do so. 1 2 34 5 67 8 9 A B C D E F G H I A B C D E F G H I A B C D E F G H I A B C D E F G H I A B C D E F G H I A B C D E F G H I A B C D E F G H I A B C D E F G H I A B C D E F G H I If this answer sheet is for French language and culture, German language and culture, Italian language and culture, Spanish language and culture, or Spanish, answer the following questions. Your answers will not affect your score. 1. Have you lived or studied for a month or more in a country where the language of the test you are now taking is spoken? Yes No DO NOT WRITE IN THIS AREA Q. SURVEY QUESTIONS — Answer the survey questions in the AP Student Packet. Do not put answers to test questions in this section. PAGE 2 COMPLETE THIS AREA FOR EACH EXAM (IF APPLICABLE). Indicate your answers to the test questions in this section (pages 2 and 3). Check only one answer per question for questions 1-120. If a question has only four answer choices, do not check option E. Answers written in the multiple choice booklet will not be scored. A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 Hey the language in your house in general? A B C D A B C D You must use a #2 pencil and marks must be complete. Do not use a pencil. It is very important that you fill in the entire dark circle and completely. If your answer changes, please delete as completely as possible. Incomplete marks or erasures can affect your score. COMPLETE GRADE EXAMPLES OF INCOMPLETE GRADES SELECTED MEDIA R W TESTS OTHER R W O TESTS PT02 TOTAL PT03 Partial Score (if applicable) PT04 Partial Score (if applicable) ETS Test USE ONLY Test 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9

/ / / – . . . . . 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 9 // – . . . . . 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 9 // – . . . . . 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 9 // – . . . . . 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 9 // – . . . . . For students studying Biology AP / / / – . . . . . 121123 122 124125 126 Write your answer in the boxes at the top of the grid area and fill in the appropriate circles. Mark only one circle in any column. You will only receive credit if the circles are filled in correctly. PAGE 3 DO NOT WRITE IN THIS AREA A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 10 0 101 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 110111 11 2 11 3 11 4 11 5 11 6 11 7 11 8 11 9 120 Make sure each mark is dark and fill the circle completely. If a question has only four answer options, leave option E unchecked. QUESTIONS 76–120 © 2015 The College Board. College Board, AP, Student Search Service and the acorn logo are registered trademarks of the College Board. QUESTIONS 121–126 A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D 131 132 133 134 135 136 137 138139 140 141 142 For students taking AP Physics 1 or AP Physics 1, you will receive credit for question only. QUESTIONS 131–142

ESTA ÁREA SOLO UNA VEZ COMPLETA. ZIP OR POSTAL CODECOUNTRY CODE PAGE 4 STREET ADDRESS (include street number, street name, apartment number, etc.) CITY A A A A A A A A A A A A A A A A A A A A A A A A A A B B B B B B B B B B B B B B B B B B B B B B B B B B C C C C C C C C C C C C C C C C C C C C C C C C C C D D D D D D D D D D D D D D D D D D D D D D D D D D E E E E E E E E E E E E E E E E E E E E E E E E E E F F F F F F F F F F F F F F F F F F F F F F F F F F G G G G G G G G G G G G G G G G G G G G G G G G G G H H H H H H H H H H H H H H H H H H H H H H H H H H I I I I I I I I I I I I I I I I I I I I I I I I I I J J J J J J J J J J J J J J J J J J J J J J J J J J K K K K K K K K K K K K K K K K K K K K K K K K K K L L L L L L L L L L L L L L L L L L L L L L L L L L M M M M M M M M M M M M M M M M M M M M M M M M M M N N N N N N N N N N N N N N N N N N N N N N N N N N O O O O O O O O O O O O O O O O O O O O O O O O O O P P P P P P P P P P P P P P P P P P P P P P P P P P Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q R R R R R R R R R R R R R R R R R R R R R R R R R R S S S S S S S S S S S S S S S S S S S S S S S S S S T T T T T T T T T T T T T T T T T T T T T T T T T T U U U U U U U U U U U U U U U U U U U U U U U U U U V V V V V V V V V V V V V V V V V V V V V V V V V V W W W W W W W W W W W W W W W W W W W W W W W W W W X X X X X X X X X X X X X X X X X X X X X X X X X X Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 / / / / / / / / / / / / / / / / / / / / / / / / A A A A A A A A A A A A A B B B B B B B B B B B B B C C C C C C C C C C C C C D D D D D D D D D D D D D E E E E E E E E E E E E E F F F F F F F F F F F F F G G G G G G G G G G G G G H H H H H H H H H H H H H I I I I I I I I I I I I I J J J J J J J J J J J J J K K K K K K K K K K K K K L L L L L L L L L L L L L M M M M M M M M M M M M M N N N N N N N N N N N N N O O O O O O O O O O O O O P P P P P P P P P P P P P Q Q Q Q Q Q Q Q Q Q Q Q Q R R R R R R R R R R R R R S S S S S S S S S S S S S T T T T T T T T T T T T T U U U U U U U U U U U U U V V V V V V V V V V V V V W W W W W W W W W W W W W X X X X X X X X X X X X X Y Y Y Y Y Y Y Y Y Y Y Y Y Z Z Z Z Z Z Z Z Z Z Z Z Z A A A A A A A A A B B B B B B B B B C C C C C C C C C D D D D D D D D D E E E E E E E E E F F F F F F F F F G G G G G G G G G H H H H H H H H H I I I I I I I I I J J J J J J J J J K K K K K K K K K L L L L L L L L L M M M M M M M M M N N N N N N N N N O O O O O O O O O P P P P P P P P P q q q q q q q q r r r r r r r r r s s s s s s s s t t t t t t t t t t u u u u u u u u u u v v v v 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 / / / / / / / 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 R. SU DIRECCIÓN POSTAL Utilice las abreviaturas de dirección de su paquete de estudante AP. Preencha apenas um círculo por coluna. Indique um espaço em sua direção deixando uma casinha em branco; no cuadricula esa columna. AK AL AR AZ CA CO CT DC DE FL GA HI IA ID IL IN KS KY LA MA MD MEMI MN MO MS MT NC ND NE NH NJ NM NV NY OH OK OU PA RI SC SD TN TX UT VAVT WA WI WV WY Porto Rico AA AE AP Otros ESTADOS SÓ PARA ESTUDIANTES FUERA DE LOS ESTADOS UNIDOS U. DIRECCIÓN DE CORREO ELECTRÓNICO Si su dirección não cabe en los espacios provistos en el Punto R, complete tantos círculos como pueda, luego complete el círculo en Ítem ​​S y escreva o restante de sua direção nos espaços fornecidos. Endereço Ciudad Estado ou província País Código postal Ao fornecer seu endereço de correio eletrônico, otorga permissão ao College Board para usar seu correio eletrônico de acordo com as políticas do Boletín 2015-16 para estudantes e padres de AP. T. IDENTIFICADOR DEL ESTUDIANTE (Número de identificação do estudante) Y. NIVEL DE EDUCACIÓN DE LOS PADRES W. ¿QUÉ IDIOMA CONOCE MEJOR? Madre o tutora Padre o tutor varón Escuela primaria Algo de escuela secundaria Diploma de escuela secundaria o equivalente Escuela vocacional o comercial Algo de universidad Título de asociado o de dos años Licenciatura o título de cuatro años Algún posgrado o escuela profesional Posgrado o título profesional V. SEXO Feminino Masculino Inglês Inglês e outro idioma sobre o mesmo Outro idioma Na primeira coluna, indique o nível de educação mais alto de um dos padres/tutor, e indique se se trata de su madre/tutor ou padre/tutor. Então, se corresponder, indique o nível de educação mais alto de seu outro padre/tutor na segunda coluna, e indique se se trata de sua mãe/tutora ou su padre/tutor. X. GRUPO RACIAL/ÉTNICO Por favor, conteste ambas as perguntas sobre a origem hispano e sobre a raça. Para las seguintes perguntas sobre sua identidade, los orígenes hispanos no son razas. (Puede marcar tudo o que corresponde.) a. Você é de origem hispânica, latina ou espanhola? No, no de origen hispano, latino o español Sí, cubano Sí, mexicano Sí, puertorriqueño Sí, otro origen hispano, latino o español Indio americano ou nativo do Alasca Asiático (incluindo o subcontinente indio e a origem das Filipinas) Negro ou afroamericano ( inclui os de origem africano e afrocaribenho) Nativo do Havaí ou de outras ilhas do Pacífico Branco (incluindo a origem do Médio Oriente) b. ¿Cuál es su raza?

Section I: Multiple Choice Questions This is the multiple choice section of the 2016 AP exam. It includes cover material and other administrative instructions to help familiarize students with the mechanics of the exam. (Note that future exams may differ from the content below.) For purposes of test security and/or statistical analysis, some questions were removed from the 2016 version of the test. Therefore, the time indicated here may not be adequate for a practical test.

AP Statistics ® Exam SECTION I: 2016 Multiple Choice DO NOT OPEN THIS BOOKLET UNTIL WARNED. Summary Total Time 1 hour 30 minutes Number of Questions 40 Percent of Total Score 50% Writing Instrument Pencil Electronic Device Required Graphing Calculator Expected Instructions Section I of this exam contains 40 multiple-choice questions. Only fill in the circles for numbers 1-40 on your answer sheet. Indicate all your answers to the multiple choice questions on the answer sheet. No credit will be given for anything written in this test booklet, but you may use the booklet for notes or sketches. Once you have decided which of the suggested answers is the best, completely fill in the corresponding circle on the answer sheet. Give only one answer to each question. If you change an answer, make sure the previous tag is completely deleted. Here is an example question and answer. Use your time effectively, working as quickly as possible without losing accuracy. Don't spend too much time on a single question. Please continue with other questions and come back to the ones you didn't answer if you have time. Not everyone should know the answers to all multiple choice questions. Your total score in the multiple choice section is based solely on the number of questions answered correctly. No points are deducted for wrong answers or unanswered questions. Form I Form Code 4MBP4-S 90

-2- Formulas start on page 3. Questions start on page 6. Tables start on page 42.

-3- Formulas (I) Descriptive statistics x i x n  = ( ) 2 1 1 xsxx i n =-  - ()( ) ()( ) 22 12 12 12 1111 p nsn s s nn-+- = -+ - 01 ˆ y bbx =+ ( ) () ( ) 1 2 ii i x xy y b xx   -- = - 01bybx=- 1 1 ii xyx xyy r nss ʈ ʈ  Á ̃ Á Ë ̄ Ë ̄ -- = - 1 y x s br s = ( ) () 2 2 1 ˆ 2 ii seconds s x x   - - = -

-4- (II) Probability ()()()()PA B PA PB PA B »= + - « () () ()PA B PAB PB« = ()EX xp xii ==  µ ( ) 2 2 Var() x ix Xxp i s == - µ If X has a binomial distribution with parameters n and p , then: () (1) n knk PX k p p k ʈ Á ̃ Ë ̄ - == - np x = µ ( 1 ) np pages x s =- ˆ pages =μ (1) ? p p p n s - = If x is the mean of a random sample of size n from an infinite population with mean µ and standard deviation, then: s x = µµ x n s s =

-5- (III) Inferential statistic standard deviation of statistic parameter statistic Standardized test statistic: - ()( ) Confidence interval: critical value statistic statistic standard deviation ∑ ± Single-sample statistic Sample mean Statistic standard deviation n s Sample proportion (1 ) p p n- Two-sample statistics Difference of sample means Standard deviation of the statistic 22 12 12 nn ss + Special case when 1ss = 2 12 11 nn s + Difference of sample proportions 112 2 12(1 ) (1 ) p pp p nn -- + Special case when 12p p = ()1 p p - 12 11 nn + ( 2 observed expected chi-square test statistic expected- = Â )

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -6- STATISTICS SECTION I Time — 1 hour and 30 minutes Number of Questions — 40 Percent of Total Score — 50 Instructions: Solve each of the following problems, using the space available for starting work. Decide which is the best of the given options and fill in the corresponding circle on the answer sheet. No credit will be given for anything written in the test book. Don't spend too much time on any problem. 1. The prices, in thousands of dollars, of 304 recently sold homes in a city are summarized in the following histogram. Based on the histogram, which of the following statements must be true? (A) The minimum price is $250,000. (B) The maximum price is $2,500,000. (C) The average price is not more than $750,000. (D) The average price is between $500,000 and $750,000. (E) The top quartile of prices is greater than $1,500,000.

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -7- 2. As part of a study on the relationship between the use of tanning beds and the development of skin cancer, researchers reviewed the medical records of 1,436 people. The table below summarizes the use of tanning beds for people in the study with and without skin cancer. Used tanning booth Did not use tanning booth Total Skin cancer 190706896 No skin cancer 75465540 Total 265 265 1,1711,436 Of the people in the study who had skin cancer, what fraction used a tanning booth? (A) 190 265 (B) 190896 (C) 190 1, 436 (D) 265 1, 4 3 6 (E) 896 1, 4 3 6

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -8- 3. A researcher is conducting a study on charitable giving by surveying a simple random sample of households in a particular city. The researcher wants to determine whether there is compelling statistical evidence that more than 50% of households in the city made a charitable donation in the past year. Let p be the proportion of all households in the city that made a charitable donation in the past year. Which of the following are appropriate hypotheses for the researcher? (A) 0H: 0.5 p= and aH: 0. p> 5 (B) 0H: 0.5 p= and aH: 0.5 pπ (C) 0H: 0.5 p= and aH: 0, 5 p< (D) 0H: 0.5 p < > y aH: 0.5 pπ (E) 0H: 0.5 p> y aH: 0.5 p= 4. A company determines the mean and standard deviation of the number of sick leave days of its employees in a year. Which of the following is the best description of the standard deviation? (A) Approximately the average distance between the number of sick days taken by individual employees and the average number of sick days taken by all employees (B) Approximately the average distance between the number of sick days taken by employees and the average number of sick days taken by all employees (C) The distance between the greatest number of sick leaves taken by an employee and the average number of sick leaves taken by all employees (D) The number of days separating the smallest number of sick days and largest number of sick days taken when considering all employees (E) The number of days separating the smallest number of sick days and the largest number of sick days taken considering the 50 % of the middle of the distribution

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -9- 5. In one region of the country, the average length of stay is 5.5 days with a standard deviation of 2.6 days. Since many patients stay in the hospital for many more days, the distribution of length of stay is strongly skewed to the right. Consider random samples of size 100 drawn from the distribution with the average residence time, x, recorded for each sample. Which of the following best describes the sampling distribution of x? (A) Strongly skewed to the right with a mean of 5.5 days and a standard deviation of 2.6 days (B) Strongly skewed to the right with a mean of 5.5 days and a standard deviation of 0.26 days (C) Strongly skewed to the right right with mean of 5.5 days and standard deviation of 0.026 days (D) Approximately normal with mean of 5.5 days and standard deviation of 2.6 days (E) Approximately normal with mean of 5.5 days and standard deviation of 0.26 days

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -10- 6. A local television news station includes a viewer poll question about a current topic at the beginning of each evening newscast. Viewers are invited to use social media to answer the question. Poll results are shared with the public at the end of each broadcast. Regarding the opinions of the population in the region, which of the following is a possible reason why the results of this type of research may be biased? I. Viewers with strong opinions about the current topic are more likely to respond than viewers without strong opinions. II. The opinions of viewers of a television channel are not necessarily representative of the population of a region. third Viewers with access to social media are not necessarily representative of a region's population. (A) I only (B) II only (C) III only (D) II and III only (E) I, II, and III 7. A graduate student conducted a study of voles in rural Kansas. The student obtained a sample of 100 field mice and recorded the weight, in grams, of each mouse. After taking measurements, it turned out that the scale was not calibrated correctly. The student adjusted the 100 recorded measurements by subtracting 3 grams from each measurement. Which of the following statistics for the weight, in grams, of rats has the same value before and after adjustment? (A) The median (B) The mean (C) The first quartile (D) The third quartile (E) The interquartile range

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -11- 8. A statistician proposed a new method for constructing a 90 percent confidence interval for estimating the average appraised value of homes in a large community. To test the method, the statistician will run a simulation by selecting 10,000 random samples of the same population size. For each sample, a confidence interval will be constructed using the new method. If the confidence level associated with the new method is indeed 90%, which of the following will be captured by approximately 9,000 of the confidence intervals constructed from the simulation? (A) The sample mean (B) The sample median (C) The sample standard deviation (D) The population mean (E) The population median 9. The monthly rent distribution for a room in a city is approximately normal with mean $936 and standard deviation $61. A graduate student is looking for a one-bedroom apartment and does not want to pay more than $800 in rent per month. Which of the following is the best estimate of the percentage of one-bedroom apartments in the city with a maximum monthly rent of $800? (A) 1.3% (B) 2.5% (C) 50% (D) 95% (E) 97.5%

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -12- 10. A news article reported that college students who have part-time jobs work an average of 15 hours a week. The staff of a university newspaper thought that the average might be different than 15 hours a week for college. Data on the number of hours worked per week were collected for a random sample of college students who have part-time jobs. The data were used to test the hypotheses 0H: 1 m= 5 aH: mπ15 , where m is the average hours worked per week for all university students with part-time jobs. Test results are shown in the table below. Sample Mean Standard error df t-stat p-value 13.755 0.707 25 1.761 - 0.090 Assuming all conditions for inference are met, which of the following represents a 95% confidence interval for m? (A) 13.755 0.244 ± (B) 13.755 0.286 ± (C) 13.755 0.707 ± (D) 13.755 1.245 ± (E) 13.755 1.456 ±

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -13- 11. A team of psychologists studied the effect of multitasking on the performance of cognitive tasks. A group of 40 women participated in the study. Each woman owned a smartphone equipped with the same type of keyboard. The women typed a passage of text on the phone twice, once while sitting in a quiet room (a single task) and once while walking (a multitask). Single-task and multi-task order was randomly determined for each woman. Psychologists recorded the time each woman took to write the text for both tasks. If the inference conditions are met, which of the following tests is most suitable for analyzing the data? (A) A two-sample t-test for a difference in means (B) A paired pair t-test for a difference in means (C) A one-sample z-test for a proportion (D) A two-sample test z - test for difference between proportions (E) A chi-square test of independence 12. The random variable X is normally distributed with mean 5 and standard deviation 25. The random variable Y is defined by =+ Y 24 X. What are the mean and standard deviation of Y? (A) The mean is 20 and the standard deviation is 102. (B) The mean is 20 and the standard deviation is 50. (C) The mean is 22 and the standard deviation is 102. (D) The mean is 22 and the standard deviation is 100. (E) The mean is 22 and the standard deviation is 50.

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -14- 13. In northwest Pennsylvania, a zoologist recorded the ages, in months, of 55 bears and whether each bear was male or female. The data is shown in the rod chart attached below. Female Male 415 14 2 0 13 12 11 10 49 28 17 0 1 0 6 6 8 3 2 5 3 5 6 5 4 2 1 4 6 8 8 5 4 3 2 3 2 4 7 8 9 7 6 2 1 0 0 2 0 0 1 2 2 3 4 4 4 5 6 7 7 9 1 5 7 8 70 represents 70 months Based on the trunk diagram, which of the following statements is true? (A) Both mean age and age group are higher for women than for men. (B) The mean age and age range are lower for female bears than for males. (C) The mean age is the same for female bears and male bears, and the age range is the same for male bears and female bears. (D) The mean age is lower for female bears than for males, and the age range is larger for female bears than males. (E) The mean age is higher for women than for men, and the age range is lower for women than for men.

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -15- 14. A vegetable supplier ships boxes of produce to individual customers. The weight distribution of the shipped boxes is approximately normal with a mean of 36 pounds and a standard deviation of 4 pounds. Which expression represents the weight, in pounds, at the 75th percentile of the distribution? (A) () 1.96 4 36 -+ (B) () 0.25 4 36 -+ (C) () 0.25 4 36 + (D) () 0.67 4 36 + (E) ( ) 0.75 4 36 +

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -16- 15. A research agency conducted a survey by selecting 100 random samples, each consisting of 1200 US citizens. Citizens in each sample were asked if they were optimistic about the economy. For each sample, the polling agency created a 95% confidence interval for the proportion of all US citizens who were optimistic about the economy. Which of the following statements is the best interpretation of the 95% confidence level? (A) With 100 confidence intervals, we can be 95% sure that the sample proportion of US citizens who are optimistic about the economy is correct. (B) We expect that approximately 95 of the 100 confidence intervals contain the proportion of all US citizens who are optimistic about the economy. (C) We would expect about 5 of the 100 confidence intervals not to contain the sample proportion of US citizens optimistic about the economy. (D) Of the 100 confidence intervals, 95 of the intervals will be identical because they were constructed from samples of the same size of 1200. (E) The probability is 0.95 that 100 confidence intervals will give the same information about the proportion of the sample of United States citizens who are optimistic about the economy.

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -17- 16. As part of a national sleep study, a random sample of adults was selected and surveyed about their physical activity and the number of hours they sleep each night. Of 183 adults who regularly exercised (exercise), 59% reported sleeping at least seven hours a night. Of the 88 adults who did not exercise regularly (didn't exercise), 52% reported sleeping at least seven hours a night. Which of the following is the most appropriate standard error for a confidence interval for the difference in the proportions of adults who get at least seven hours of sleep per night between those who exercise and those who do not exercise? (A) ()() ()() 0.59 0.41 0.52 0.48 183 88 + (B) ()()()() 0.59 0.41 0.52 0.48 183 88+ + (C) ()() 11 0.57 0.43 183 88+ () (D) ()() ()11 0.5 0.5 183 88+ (E) ()() ( ) 11 0.5 0.5 183 88+ +

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -18- 17. A representative of an automobile manufacturer in the United States made the following statement in a news report. Ten years ago, only 53% of Americans owned US-made cars, but that number is significantly higher today. A research group conducted a study to investigate whether the claim was true. The group found that 56% of a randomly selected sample of car owners in the United States owned cars made in the United States. A test of the appropriate hypotheses resulted in a p-value of 0.283. Assuming that the conditions for the inference were met, there is sufficient evidence to conclude, at a significance level of 0.05 to = , that the proportion of all automobile owners in the United States who own automobiles manufactured in the United States has increased since ten years ago? to go back? (A) Yes, because 0.56 0.53. > (B) Yes, because a reasonable range for the ratio is 0.56 0.283 ± (C) Yes, because 0.56 0.53 0.03 -= and 0.03 0.05. < (D) No, because 0.283 0.53. < (E) No, because 0.283 0.05. >

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -19- 18. The researchers wanted to investigate whether babies have a sense of right and wrong. Each of the 60 babies watched a puppet show in which a red puppet tried to open the lid of a heavy box. A second puppet, called a helper, would try to help the red puppet open the box, while a third puppet, called a jammer, would try to close the lid of the box. After watching the show, each child was given a tray containing the helping puppet and the hindering puppet, and the researchers recorded which puppet the child reached. The researchers wanted to determine whether babies would reach more for the helping puppet than the hindering puppet. As part of the show, a green doll and a yellow doll served as helpers and hindrances. For each baby, a coin was flipped to determine which color would serve which role. Which of the following is the most important reason for randomly assigning colors to roles in the study? (A) If the cover is closed tightly, the top of the obstacle may be worn out after 60 functions. The random assignment of colors to the functions allows a more uniform wear between the helper and the hinderer. (B) The puppeteer can get tired of doing the same show with the same puppet colors. Randomly assigning colors to roles keeps the show fresh with each performance. (C) If the doll of the same color plays the same role, babies can show a color preference instead of a role preference. (D) Random assignment of colors to roles allows researchers to determine whether one color is better than another for teaching babies right and wrong. (E) Boys and girls may prefer different colors. The random assignment of colors to the roles ensures that the show is equally accessible to boys and girls.

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -20- 19. Nutritionists examined the sodium content of different brands of potato chips. Each brand was classified as healthy or regular based on how the chips were marketed to the public. The sodium content, in milligrams (mg) per serving, of chips is summarized in the boxplots below. Based on the boxplots, which statement provides a correct comparison between the two chip sodium ratings? (A) The number of brands classified as healthy is greater than the number of brands classified as regular. (B) The interquartile range (IQR) of brands classified as healthy is greater than the IQR of brands classified as regular. (C) The range of brands classified as healthy is lower than the range of brands classified as regular. (D) The median of brands classified as healthy is more than twice the median of brands classified as regular. (E) The brand with the lowest sodium content and the brand with the highest sodium content are classified as healthy.

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -21- 20. A factory has two machines, A and B, that manufacture the same part for refrigerators. The number of defective parts produced by each machine during the first hour of operation was recorded over 19 randomly selected days. The following scatter plot shows the number of defective parts produced by each machine on the selected days. Which statement provides the best comparison between the number of defective parts produced by the machines during the first hour of operation of the 19 days? (A) Machine A always produced the same number of defective parts as machine B. (B) Machine A always produced fewer defective parts than machine B. (C) Machine A always produced more defective parts than machine B (D) Machine A usually, but not always, produced fewer defective parts than machine B. (E) Machine A usually, but not always, produced more defective parts than machine B.

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -22- Item 21 was not scored.

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -23- 22. The faces of a fair four-sided die are numbered from 1 to 4, respectively. For a given game, the die is rolled and the number that lands face down is recorded. The following table summarizes the points a player earns by the number that lands face down. Number that lands face down 1234 Points 0102 Consider two independent die rolls. Let the random variable S represent the sum of the points scored on the two tosses. Which table represents the probability distribution of S? (A) S 012 Probability 0.50.25 0.25 (B) S 024 Probability 0.50.25 0.25 (C) S 024 Probability 0.250.50.25 (D) S 01234 Probability 0.250.250.3125 0, 1250.0625 (E) S 01230.25 0.25 Probability 0.250.0625

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -24- 23. A botanist collected a leaf at random from each of 10 randomly selected mature trees of the same species. The mean and standard deviation of the surface areas of the 10 leaf samples were calculated. Assume that the distribution of surface areas of maple leaves is normal. What is the appropriate method for constructing a one-sample confidence interval for estimating population mean surface area of ​​maple leaf species, and why is the method appropriate? (A) The interval t is appropriate because the population standard deviation is unknown. (B) The t interval is appropriate, because the t interval is narrower than the z interval. (C) The z interval is appropriate, because the z interval is narrower than the t interval. (D) The interval z is appropriate because the central limit theorem applies. (E) The z interval is appropriate because the standard deviation of the sample is known.

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -25- 24. A state education agency was concerned that public school teacher salaries in one region of the state, Region A, were higher than salaries in another region of the state, Region B. A. agency took two random samples of public school teacher salaries, one from region A and one from region B. The data are summarized in the following table. Region A Region B Mean Salary $62,583 $60,117 Standard Deviation $6,274 $9,319 Number of Salaries 117 78 Assuming all conditions for inference are met, the data provide compelling statistical evidence that the salaries of public school teachers in Region A are, on average, higher than the salaries of public school teachers in region B? (A) Yes, there is evidence at the 0.001 significance level for = . (B) Yes, there is evidence at the 0.01 a = significance level, but not at the 0.001 a = significance level. (C) Yes, there is evidence at the 0.05 a = level of significance but not at the 0.01 a = level. (D) Yes, there is evidence at the 0.10 a = significance level but not at the 0.05 a = . (E) No, there is no evidence at the significance level of 0.10 to = .

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -26- 25. A florist wanted to investigate whether a new powder added to cut flower water helped keep the flowers fresh longer than water alone. For a shipment of roses delivered to the store, the florist would flip a coin before placing each rose in its individual container of water. If the coin landed heads, the rose was placed in water with the new powder; otherwise, the rose was placed alone in the water. Which of the following best describes the method used by the florist? (A) A census, because all roses are assigned to a container (B) A completely randomized design experiment (C) A block design experiment, with blocking by water type (D) A paired experiment design ( E) design An observational study

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -27- 26. A breakfast cereal commercial is shown during a certain television program. The cereal manufacturer wants to estimate the percentage of viewers who watch the show. The manufacturer wants the estimate to have a maximum margin of error of 0.02 at the 95% confidence level. Of the following, which is the smallest sample size that will satisfy the manufacturer's requirements? (A) 40 (B) 50 (C) 100 (D) 1,700 (E) 2.50 0 27. A contestant's final winnings on a game show are determined by a random selection of a base amount and a possible multiplier. For the base value, the contestant randomly selects one of four cards, where two cards are marked $1,000, one card is marked $2,000, and one card is marked $5,000. After choosing the card, the contestant randomly selects one of five pieces, three pieces being red and two pieces white. If the selected token is red, the contestant's final winnings are double the value of the base value. If the selected token is white, the contestant's final winnings are the base value value. What is the probability that a contestant's final winnings are exactly $2,000? (A) 0.100 (B) 0.200 (C) 0.250 (D) 0.32 5 (E) 0.400

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -28- 28. Meteorologists are interested in the relationship between the minimum pressure and maximum wind speed of hurricanes. The minimum pressure, in millibars, and the maximum wind speed, in knots, were collected for a random sample of 100 hurricanes from the year 1995 to the year 2012. A regression analysis (1.42, 1.2-- 0 ) of maximum wind speed at minimum pressure produced a 95% confidence interval for the slope of the least squares regression line. Which statement is a correct interpretation of the interval? (A) The probability is 0.95 that wind speed decreases, on average, between 1.20 knots and 1.42 knots for each millibar increase in minimum pressure. (B) The probability is 0.95 that a different sample of 100 hurricanes will result in an average increase in wind speed between 1.20 knots and 1.42 knots for each millibar increase in minimum pressure. (C) We can be 95% sure that wind speed decreases, on average, by between 1.20 knots and 1.42 knots for each millibar increase in minimum pressure. (D) We can be 95% sure that wind speed increases, on average, between 1.20 knots and 1.42 knots for each millibar increase in minimum pressure. (E) We can be 95% sure that for any sample of hurricanes, the wind speed will decrease, on average, between 1.20 knots and 1.42 knots for each millibar increase in minimum pressure.

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -29- 29. Some contact lens wearers report problems with dry eyes. A study was conducted to evaluate the effectiveness of a new eye drop solution in relieving dryness in contact lens wearers. Twenty-five contact lens-wearing volunteers agreed to wear the new solution for one month. At the end of the month, 36% of volunteers reported that the new solution was effective in relieving dryness. The company that produced the new eye drop solution concluded that using the new solution is more effective in relieving dryness than using no solution at all. Which of the following best explains why the study does not support this conclusion? (A) The sample size was too small. (B) The study had no control group. (C) Participants were volunteers. (D) Participants reported how often they used the new solution. (E) Participants reported the effectiveness of the new solution.

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -30- 30. The management team of a company with 10,000 employees is considering the installation of charging stations for electric cars in the company's car parks. In a random sample of 500 employees, 15 reported owning an electric car. Which of the following is a 99% confidence interval for the proportion of all employees in the company who own an electric car? (A) ()()0.03 0.97 0.03 2.326 500 ± (B) (0.15)(0.85) 0.15 2.326 500 ± (C) (0.03)(0.97 ) 0.03 2.576 500 ± (D) (0.15)(0.85) 0.15 2.576 500 ± (E) (0.03)(0.97) (0.03)(0.97) 0 .03 2,576 500 10,000 ±+

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -31- 31. A test of the hypothesis 0H: 0 m = versus aH: 0 m> was performed using a sample size 7. The test statistic was 1.935 t= . Which of the following is closest to the p-value of the test? (A) 0.0125 (B) 0.0265 (C) 0.0471 (D) 0.0506 (E) 0.1012

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -32- 32. As part of a community service program, students in three high school grades (6th grade, 7th grade, 8th grade) chose to participate in one of three school-sponsored volunteer activities. The following graph shows the distribution of each class for the three activities. Based on the graph, which statement must be true? (A) Of all the students who chose activity B, the largest number of students were in the 6th grade. (B) 7th and 8th grades had the same number of students who did not choose activity A. (C) The grade with the highest The percentage of students who chose activity C was 8th grade. (D) For 7th graders, the number that chose activity C was greater than the number that chose activity B. (E) For 8th graders, the number that chose activity A was greater than the number number that chose activity B.

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -33- 33. At a large airport, data was recorded over a month on how much baggage was unloaded from each flight upon arrival, as well as the time taken to deliver all of the flight's baggage to the baggage claim area. A scatterplot of the two variables indicated a strong positive linear association between the variables. Which of the following statements is a correct interpretation of the word "strong" in the description of the association? (A) A least squares model predicts that the more items of baggage that are unloaded from a flight, the longer it takes to deliver the items to the baggage claim area. (B) The actual time required to deliver all items to the baggage claim area based on the number of items unloaded will be very close to the time predicted by a least squares model. (C) The time required to deliver an item to the baggage claim area is relatively constant, regardless of the number of baggage items unloaded from a flight. (D) The variability in the time required to deliver all items to the baggage claim area is approximately the same for all flights, regardless of the number of items disembarked from a flight. (E) The time required to unload baggage from a flight is related to the time required to deliver baggage to the baggage claim area.

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -34- 34. A group of men and women were surveyed to investigate the association between gender and the number of friends a person has on a social networking site. The results are shown in the following table. Number of Friends 0 to 50 51 to 100 101 to 150 151 to 200 201 or more Men 1782 735642 Women 4573988775 Which of the following procedures is most appropriate to investigate whether there is an association between gender and the number of friends a person has on a website of social network? (A) A pair-matched t-test for a difference in means (B) A two-sample t-test for the difference between means (C) A t-test for the slope of the regression line (D) A chi-square test of adequacy (E) A chi-square test of independence

Unauthorized copying or reuse of any part of this page is illegal. GO TO NEXT PAGE. -35- 35. Carly commutes to work and her commute time depends on the weather. In good weather, the distribution of travel times is approximately normal, with a mean of 20 minutes and a standard deviation of 2 minutes. When the weather is bad, the distribution of travel times is approximately normal with a mean of 30 minutes and a standard deviation of 4 minutes. Suppose the probability that the weather is good tomorrow is 0.9. Which of the following is closest to the probability that Carly's travel time tomorrow will be greater than 25 minutes? (A) 0.0056 (B) 0.0894 (C) 0.0950 (D) 0.8055 (E) 0.9006

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