Hyundai Motor America sold 720, 783 vehicles in the U.S in 2013, with the U.S.-b
ID: 3227813 • Letter: H
Question
Hyundai Motor America sold 720, 783 vehicles in the U.S in 2013, with the U.S.-built Elantra leading sales with 247, 912 cars sold, up 23% from 2012. The other top selling nameplates in 2013 were the Sonata with 203, 648 sold, the Santa Fe with 88, 844 sold, and the Accent with 60, 458 sold. The company wants to undertake a survey of 2013 Hyundai buyers to ask them about satisfaction with their purchase. (a) What proportion of the Hyundais sold in 2013 were Elantras? (Round your answer to four decimal places.) (b) If they plan to survey a simple random sample of 2300 Hyundai buyers, what is the expected number mu and standard deviation sigma of the number of Elantra buyers in the sample? Round your answers to two decimal places.) mu = Elantra buyers sigma = Elantra buyers (c) What is the probability they will get fewer than 771 Elantra buyers in their sample (Round your answer to four decimal places.) You may need to use the appropriate Appendix Table to answer this question.Explanation / Answer
a)=247912/720783=0.3439
b) mean =np=2300*0.3439=791.08
std deviation=(np(1-p))1/2 =22.78
hence c) P(X<771)=P(Z<((770.5-791.08)/22.78)=P(Z<-0.9034)=0.1832
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