Score: 0.29 o11 pt 2.5.43 E Question Help A certain brand of automobile tire has

Question

Score: 0.29 o11 pt 2.5.43 E Question Help A certain brand of automobile tire has a mean life span of 31,000 miles and a standard deviation of 2,400 miles. (Assume the life spans of the tires have a bell-shaped distribution.) (a) The life spans of three randomly selected tires are 35,000 miles, 36,000 miles, and 32,000 miles. Find the z-score that corresponds to each life span. For the life span of 35,000 milles, z-score is Round to the nearest hundredth as needed.) Enter your answer in the anower bok and then cick Chock Anae parts Check Anewor MacBook Pro 20 8 9 0

Explanation / Answer

solution :  

Given that mean ? = 31000 , standard deviation ? = 2400

(a) for the life span of 35000, Z-score = (x - ?)/?

= (35000 - 31000)/2400

= 1.67

for the life span of 36000, Z-score = (x - ?)/?

= (36000 - 31000)/2400

= 2.08

for the life span of 32000, Z-score = (x - ?)/?

= (32000 - 31000)/2400

= 0.42

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