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

The shape of the distribution of the time required to get an oil change at a 20​-minute oil-change facility is unknown.​ However, records indicate that the mean time is 21.6 minutes​, and the standard deviation is 4.6 minutes.

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Suppose the manager agrees to pay each employee a​ $50 bonus if they meet a certain goal. On a typical​ Saturday, the​ oil-change facility will perform 45 oil changes between 10 A.M. and 12 P.M. Treating this as a random​ sample, there would be a​ 10% chance of the mean​ oil-change time being at or below what​ value? This will be the goal established by the manager.

There is a​ 10% chance of being at or below a mean​ oil-change time of ________ minutes.

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