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AP STATISTICSAP EXAMPRACTICE PROBLEMSDIRECTIONSFor 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!This packet will be worth 5 points for each Topic!Table of ContentsFormula Sheet, Z Table, and T TableTopic 1: Sampling Techniques and Sources of BiasTopic 2: Experimental DesignTopic 3: Analyzing Data Topic 4: Normal Distributions and Z-Scores Topic 5: Probability RulesTopic 6: Probability Distributions Topic 7: Binomial and Geometric Distributions Topic 8: Sampling DistributionsTopic 9: Confidence Intervals Topic 10: Significance Tests Topic 11: Chi-Squared Tests and Types of Error Topic 12: Bivariate DataTopic 13: Confidence Intervals and Significance Tests with Bivariate Data Formula Sheet (Relevant Parts)19050512445000209550495300000-9526477202500Topic 1: Sampling Techniques and Sources of Bias15240052260500For 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. 1524003175002. 152400304165003. FREE RESPONSE (2010 Exam, Form B, #2)Topic 2: Experimental Design15240049085500For 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. 1524002540002. 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. 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 blockingFREE RESPONSE (2006 Exam, Form B, #5)Topic 3: Analyzing DataFor 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!1295401685925002625622225869002. 125730309880003. (A) 2.50(B) 7.25(C) 12.25(D) 15.00 (E) 17.50FREE RESPONSE (2011 Exam, Form B, #1)Continued on Next PageTopic 4: Normal Distributions and Z-Scores10477550038000For 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. 1524003810002. 152400313690003. 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)FREE RESPONSE (2011 Exam, #1)A professional sports team evaluates potential players for a certain position based on two main characteristics, speed and ic 5: Probability Rules12382551181000For 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. 123825313690002. 12382515078003. . 4. 152400000FREE RESPONSE (2015 Exam, #3)Topic 6: Probability Distributions17145049847500For 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. 123825-18415002. 171450310515003. 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) 24.0(B) 17.5(C) 12.0(D) 6.0(E) 4.9FREE RESPONSE (2013 Exam, #3)Topic 7: Binomial and Geometric DistributionsFREE RESPONSE (2011 Exam, Form B, #3)Topic 8: Sampling Distributions13335051943000For 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. 152400-635001539240-5715003. 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.FREE RESPONSE (2014 Exam, #3)Topic 9: Confidence Intervals13335038989000For 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. 133350-38100002. 2095502540003. FREE RESPONSE #1 (2011 Exam, Form B, #5)FREE RESPONSE #2 (2009 Exam, #4)Topic 10: Significance Tests12382551816000For 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. 161925-9525002. 3. 152400127000152400319405004. FREEE RESPONSE #1 (2012 Exam, #4)FREE RESPONSE #2 (2014 Exam, #5)Write your answer on the following pageTopic 11: Chi-Squared Tests and Types of Error13335052387500For 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. 180975-635002. (A) 8(B) 9(C) 10(D) 11(E) 133. 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 = 0.05. 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 = 0.01 instead of = 0.05.(D)Decrease the sample size to 50 children.(E)Increase the sample size to 200 children.FREE RESPONSE #1 (2008 Exam, #5)Use space on next page if neededFREE RESPONSE #2 (2011 Exam, Form B, #4)Topic 12: Bivariate DataFor 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. 152400-127000 1428750002. 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.10877558382000Least squares estimation of the parameters in Model B yielded the following equation and residual plot.10877552175200Which of the following conclusions is correct?(A)Model A is appropriate, since the relationship between x and y is linear.(B)Model B is appropriate, since the relationship between x and y is linear.(C)Model A is appropriate, since the relationship between log x and log y is linear.(D)Model A is appropriate, since the relationship between log x and y is linear.(E)Model B is appropriate, since the relationship between x and log y is linear.FREE RESPONSE (2007 Exam, Form B, #4)200025-254000Topic 13: Confidence Intervals and Significance Tests with Bivariate Data (NEW!)12382551117500For 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. 1488561002. 11223310096500FREE RESPONSE (2011 Exam, #5) ................
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