AP Statistics Practice Problems - Mrs. Alexandra Voinea

1 AP Statistics 2017 2018 NAME:_____ P: ____ AP EXAM Practice Problems DIRECTIONS For all multiple choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit! For all Free Response Problems , do NOT RELY ON THE ANSWER KEYS before you have done everything in your power to complete the problem to the best of your ability. Peeking at the answer key without being given explicit instruction is academically dishonest and will NOT be tolerated. NOTE: The answers to these free response Problems are available online. Which I catch you copying answers without actually working through the problem , you will not get credit. You are an AP Student Act like it.

2 The internet won t save you on the AP Exam. If you need help, don t be afraid to ask. You have the ability to receive help during tutorial, lunch, and before/after school by appointment. You are responsible for showing up and accountable for your own learning. Table of Contents Formula Sheet, Z Table, and T Table Topic 1: Sampling Techniques and Sources of Bias Topic 2: Experimental Design Topic 3: Analyzing Data Topic 4: Normal Distributions and Z-Scores Topic 5: Probability Rules Topic 6: Probability Distributions Topic 7: Binomial and Geometric Distributions Topic 8: Sampling Distributions Topic 9: Confidence Intervals Topic 10: Significance Tests Topic 11: Chi-Squared Tests and Types of Error Topic 12: Bivariate Data Topic 13: Confidence Intervals and Significance Tests with Bivariate Data You will be given time in class to work on the Problems and you will be expected to also work on certain Problems at home in addition to the white study guide and other AP Practice questions provided * WORK HARD, BE ACCOUNTABLE FOR YOUR LEARNING, & ASK QUESTIONS!

3 YOU GOT THIS! J 2 Formula Sheet (Relevant Parts) 3 4 5 6 7 Topic 1: Sampling Techniques and Sources of Bias For all multiple choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit! 1. 2. 3. 8 FREE RESPONSE (2010 Exam, Form B, #2) 9 Topic 2: Experimental Design For all multiple choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit! 1. 2. 3. Automobile brake pads are either metallic or nonmetallic. An experiment is to be conducted to determine whether the stopping distance is the same for both types of brake pads.

4 In previous studies, it was determined that car size (small, medium, large) is associated with stopping distance, but car type (sedan, wagon, coupe) is not associated with stopping distance. The experiment would be best done (A) by blocking on car size (B) by blocking on car type (C) by blocking on stopping distance (D) by blocking on brake pad type (E) without blocking 10 FREE RESPONSE (2006 Exam, Form B, #5) 11 12 Topic 3: Analyzing Data For all multiple choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit! 2. 3. (A) (B) (C) (D) (E) 13 FREE RESPONSE (2011 Exam, Form B, #1) Continued on Next Page 14 15 Topic 4: Normal Distributions and Z-Scores For all multiple choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct.

5 Simply circling an answer will not earn you credit! 1. 2. 3. 4. Let X represent a random variable whose distribution is normal, with a mean of 100 and a standard deviation of 10. Which of the following is equivalent to P(X > 115)? (A) P(X < 115) (B) P(X 115) (C) P(X < 85) (D) P(85 < X < 115) (E) 1 P(X < 85) 16 FREE RESPONSE (2011 Exam, #1) A professional sports team evaluates potential players for a certain position based on two main characteristics, speed and strength. 17 18 Topic 5: Probability Rules For all multiple choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit! 1. 2.

6 3.. 19 4. FREE RESPONSE (2015 Exam, #3) 20 Topic 6: Probability Distributions For all multiple choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit! 1. 2. 3. 21 4. A random variable X has a mean of 130 and a standard deviation of 15. A random variable Y has a mean of 120 and a standard deviation of 9. If X and Y are independent, approximately what is the standard deviation of X Y? (A) (B) (C) (D) (E) FREE RESPONSE (2013 Exam, #3) 22 Topic 7: Binomial and Geometric Distributions FREE RESPONSE (2011 Exam, Form B, #3) 23 Topic 8: Sampling Distributions For all multiple choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct.

7 Simply circling an answer will not earn you credit! 1. 2. 3. The graphs of the sampling distributions, I and II, of the sample mean of the same random variable for samples of two different sizes are shown below. Which of the following statements must be true about the sample sizes? (A) The sample size of I is less than the sample size of II. (B) The sample size of I is greater than the sample size of II. (C) The sample size of I is equal to the sample size of II. (D) The sample size does not affect the sampling distribution. (E) The sample sizes cannot be compared based on these graphs. 24 FREE RESPONSE (2014 Exam, #3) 25 Topic 9: Confidence Intervals For all multiple choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct.

8 Simply circling an answer will not earn you credit! 1. 2. 3. 26 FREE RESPONSE #1 (2011 Exam, Form B, #5) 27 FREE RESPONSE #2 (2009 Exam, #4) 28 Topic 10: Significance Tests For all multiple choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit! 1. 2. 29 3. 4. 30 FREEE RESPONSE #1 (2012 Exam, #4) 31 FREE RESPONSE #2 (2014 Exam, #5) Write your answer on the following page 32 33 Topic 11: Chi-Squared Tests and Types of Error For all multiple choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct.

9 Simply circling an answer will not earn you credit! 1. 2. (A) 8 (B) 9 (C) 10 (D) 11 (E) 13 3. An independent research firm conducted a study of 100 randomly selected children who were participating in a program advertised to improve mathematics skills. The results showed no statistically significant improvement in mathematics skills, using = The program sponsors complained that the study had insufficient statistical power. Assuming that the program is effective, which of the following would be an appropriate method for increasing power in this context. (A) Use a two-sided test instead of a one-sided test. (B) Use a one-sided test instead of a two-sided test. (C) Use = instead of = (D) Decrease the sample size to 50 children. (E) Increase the sample size to 200 children.

10 34 FREE RESPONSE #1 (2008 Exam, #5) Use space on next page if needed 35 36 FREE RESPONSE #2 (2011 Exam, Form B, #4) 37 38 Topic 12: Bivariate Data For all multiple choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit! 1. 2. 39 3. Two variables, x and y, were measured for a random sample of 25 subjects, and two separate regression models were fit to the data. Least squares estimation of the parameters in Model A yielded the following equation and residual plot. Least squares estimation of the parameters in Model B yielded the following equation and residual plot.