Quiz: Week 3 Quiz This Question: 1 pt 5 of 5 (2 complete) A certain brand of aut

Question

Quiz: Week 3 Quiz This Question: 1 pt 5 of 5 (2 complete) A certain brand of automobile tire has a mean life span of 36,000 miles and a standard deviation of 2,350 miles. (Assume the ife spans of the tires have a bell shaped distibution.) a) The life spans of three randomly selected tires are 35,000 miles, 37,000 miles, and 32,000 miles. Find the z-score that corresponds to each life span. For the life span of 35,000 miles, z-score is (Round to the nearest hundredth as needed) For the life span of 37,000 miles, z-score is Round to the nearest hundredth as needed.) For the life span of 32,000 miles, z-score Round to the nearest hundredth as needed.) According to the z-scores, would the life spans of any of these tires be considered unusual? O No ?Yes b) The life spans of three randomly The life span 31,300 miles corresponds to the th percentile The life span 40,700 miles corresponds to the th percentile. lick to select your answer(s) selected tires are 31,300 miles, 40,700 miles, and 36.000 miles. Using the empirical rule, find the percentile that corresponds to each life span Search the web and Windows

Explanation / Answer

a)

for 35000 ; z score =(35000-36000)/2350=-0.43

for 37000 ; z score =(37000-36000)/2350=0.43

for 32000 ; z score =(32000-36000)/2350=-1.70

accoridng to z score would the life.........? --No

b)

the life span 31300 mile corresponds to the 2.5 th percentile

the life span 40700 mile corresponds to the 97.5 th percentile

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