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...
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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 21.7 minutes​, and the standard deviation is 4.6 minutes.


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, at what mean​ oil-change time would there be a​ 10% chance of being at or​ below?


There would be a​ 10% chance of being at or below ____ minutes.

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