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The shape of the distribution of the time required to get an oil change at a 10 10 -minute oil-change facility is unknown.However, records indicate

The shape of the distribution of the time required to get an oil change at a 10

10-minute oil-change facility is unknown.However, records indicate that the mean time is 11.4 minutes

11.4minutes, and the standard deviation is 3.4 minutes

3.4minutes. Complete parts(a) through(c) below.

(c) Suppose the manager agrees to pay each employee a$50 bonus if they meet a certain goal. On a typicalSaturday, theoil-change facility will perform 35

35 oil changes between 10 A.M. and 12 P.M. Treating this as a randomsample, at what meanoil-change time would there be a10% chance of being at orbelow? This will be the goal established by the manager.

There would be a10% chance of being at or below

11.8

11.8 minutes.

(Round to one decimal place asneeded.)

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