Next Question Question Help * A certain brand of automobile tire has a mean life

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Next Question Question Help * A certain brand of automobile tire has a mean life span of 35,000 miles and a standard deviation of 2,050 miles. (Assume the life spans of the tires have a bell-shaped distribution.) (a) The life spans of three randomly selected tires are 34,000 miles, 37.000 miles, and 31,000 miles. Find the z-score that corresponds to each life span F or the life span of 34,000 miles, Round to the nearest hundredth as needed) For the life span of 37,000 miles, z-score is z-score is . Round to the nearest hundredth as needed.) For the life span of 31,000 miles, z-score is . Round to the nearest hundredth as needed.) According to the z-scores, would the life spans of any of these tires be considered unusual? No O Yes nd the percentile that corresponds to (b) The life spans of three randomly selected tires are 32,950 miles, 37.050 miles, and 35,000 miles. Using the empirical rule, fi each life span Click to select your answer(s). Sample Tests and Quizzes

Explanation / Answer

as z score =(X-mean)/std deviation

therefore for x=34000 ; z score =(34000-35000)/2050=-0.49

for x=37000 ; z score =(37000-35000)/2050=0.98

for x=31000 ; z score =(31000-35000)/2050=-1.95

as all absolute z score are less then 2. therefore No

b) for 32950 ; zscore =-1 ; corresponding percentile =16th percentile

for 37050 ; zscore =1 ; corresponding percentile =84th percentile

for 35000 ; zscore =0 ; corresponding percentile =50th percentile

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