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\nSpend about 65 minutes on this part of the exam.Percent of Section II score—75  \nDirections:Show all your work.Indicate clearly the methods you use,because you will be scored on thecorrectness of your methods as well as on the accuracy and completeness of your results and explanations.  \n1.Two large corporations,A and B,hire many new college graduates as accountants at entry-level positions.In2009 the starting salary for an entry-level accountant position was $36,000 a year at both corporations.At eachcorporation,data were collected from 30 employees who were hired in 2009 as entry-level accountants and werestill employed at the corporation five years later.The yearly salaries of the 60 employees in 2014 aresummarized in the boxplots below.  \nCorporation ACorporation BYearly Salary (thousands)  \n(a)Write a few sentences comparing the distributions of the yearly salaries at the two corporations.  \n(b)Suppose both corporations offered you a job for$36,000 a year as an entry-level accountant.  \n(i)Based on the boxplots,give one reason why you might choose to accept the job at corporation A.  \n(ii)Based on the boxplots,give one reason why you might choose to accept the job at corporation B.  \nalso has two0v+liesuhereas B has neone.ororaton Ahaagreafngan工RHhan 3, andTh snlaneaa4MoreCnpvax^m4 areaiasl,5cnre roughlymmlxrwith similarMeoans,  \nnoYQt0af乃mkwhfhatMuch,Rnployu了930fuveydhereMahe ove本6/opportunit九yLArn 加re hghslgthere,4 luastchooeb)工 wgkt1A becavse I nruldhaw greale  \n2015 AP®STATISTICS FREE-RESPONSE QUESTIONS  \n2.To increase business,the owner of a restaurant is running a promotion in which a customer's bill can berandomly selected to receive a discount.When a customer's bill is printed,a program in the cash registerrandomly determines whether the customer will receive a discount on the bill.The program was written togenerate a discount with a probability of 0.2,that is,giving 20 percent of the bills a discount in the long run.However,the owner is concerned that the program has a mistake that results in the program not generating theintended long-run proportion of 0.2.  \nThe owner selected a random sample of bills and found that only 15 percent of them received discounts.Aconfidence interval for p,the proportion of bills that will receive a discount in the long run,is 0.15±0.06.All conditions for inference were met.  \n(a)Consider the confidence interval 0.15±0.06.  \n(i)Does the confidence interval provide convincing statistical evidence that the program is not working asintended?Justify your answer.  \n(ii)Does the confidence interval provide convincing statistical evidence that the program generates thediscount with a probability of 0.2?Justify your answer.  \nA second random sample of bills was taken that was four times the size of the original sample.In the secondsample 15 percent of the bills received the discount.  \n(b)Determine the value of the margin of error based on the second sample of bills that would be used tocompute an interval for p with the same confidence level as that of the original interval.  \n(c)Based on the margin of error in part (b)that was obtained from the second sample,what do you conclude  \nt  ma  ng asMnde 0s ntin  is10s1blai) No.从 cm小u iNzyvQ is asof plavrbu vales  \nayaSdsCo wnks as 小eaded.awQ anmgai+ is plav sibleMachw十+s lyoeanis0.20,Ifo exampeplausible valtNo.T。(ma心trval Mc(uduConfidence们valves  \n0.03b)  \napss tat  heya sowo 的ee0.2 15 not a plausible value for p,c)。ikrva1     2  \n2015 AP®STATISTICS FREE-RESPONSE QUESTIONS  \n3.A shopping mall has three automated teller machines(ATMs).Because the machines receive heavy use,theysometimes stop working and need to be repaired.Let the random variable X represent the number of ATMs thatare working when the mall opens on a randomly selected day.The table shows the probability distribution of X.  \n\n| Number of ATMs working when the mall opens   | 0   | 1   ","cbCaircLXwgIcAwQ","https://ap.wps.com/l/cbCaircLXwgIcAwQ","pdf",4812483,"English","# Part A\n## Questions 1-5","[{\"question\":\"What does Part A require students to show in their answers?\",\"answer\":\"Students must show all their work and indicate clearly the methods used, because scoring emphasizes both correctness of methods and accuracy/completeness of results and explanations.\"},{\"question\":\"In Question 2, how is the restaurant discount probability assessed?\",\"answer\":\"A confidence interval for the long-run discount proportion is constructed and evaluated for whether it provides convincing evidence the program is not working as intended and whether it matches probability 0.2.\"},{\"question\":\"Which statistical methods are used in Question 4 about aspirin and colon cancer?\",\"answer\":\"The problem uses a significance level α=0.05 to test whether the data provide convincing statistical evidence that daily low-dose aspirin reduces the chance of developing colon cancer compared with a placebo group.\"}]","2015 AP® Statistics Free-Response Questions - Part A | PDF",1789902052]