A certain brand of automobile tire has a mean life span of 35,000 miles and a standard deviation of 2,200

miles. (Assume the life spans of the tires have a bell-shaped distribution.)

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Part 1

(a) The life spans of three randomly selected tires are

34,000 miles, 38,000 miles, and 32,000

miles. Find the z-score that corresponds to each life span.

For the life span of 34,000 miles, z-score is

enter your response here. -----------------

(Round to the nearest hundredth as needed.)

For the life span of 38,000 miles, z-score is --------------------

(Round to the nearest hundredth asneeded.)

For the life span of 32,000 miles, z-score is -------------

Round to the nearest hundredth asneeded.)

Part 4

According to thez-scores, would the life spans of any of these tires be consideredunusual? yes or no

part 5

Using the empiricalrule, find the percentile that corresponds to each life span. of each 32,000 -------------

38,000 ---------------

34,000 --------------