Test: Final Exam Time Remaining: 00.44 32 Suomat Test 11or 19 g complete) This T

Question

Test: Final Exam Time Remaining: 00.44 32 Suomat Test 11or 19 g complete) This Test: 19 pts poss A manufachurer chims that the ite sqpan of ts trs s 52,00 mles You work tor a consumer protection agency and you ao tesang he es Assume the We spans of bhe tres are normaly dsinbuted You select 100 ties at random and test thom. The mean ite span i (a) Assaming the manufachurer's claim s correct, what is the probability that the mean of the sample is 51,851 miles or les (Round to four decrnal places needed ) (b) Using your answer from part (a) what do you think of the manfacturers claim? The clam i of the sample means ic) Assuming the manufacturer's clam is trus, would it be unusual to have an 51,851 miles Assume 800. Complete parts (a) through (e) because the sample mean I te considered unusual srce within tho range of a ususal event namely within of the mean individual Sire with a le span of 51,851 mles? Why or why noe because 518 eithin the range of a usual event, namely within of fomean anndvidual bre Enter your answer in the answer box 5 8

Explanation / Answer

a) std error of mean =std deviation/(n)1/2 =800/(100)1/2 =80

hence probability=P(X<51851)=P(Z<(51851-52000)/80)=P(Z<-1.8625)=0.0313

b) the claim is not rejected because.......is not to be considered unusual since it falls with in range of .........namely within 2 stanard deviation of the mean.,..............

c)

No ; because 51851 falls within...........with in 2 stanard deviation of the mean

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