The shape of the distribution of the time required to get an oil change at a 15​-minute oil-change facility is unknown.​ However, records indicate that the mean time is 16.2 minutes​, and the standard deviation is 4.9 minutes. Complete parts ​(a) through ​(c). ​(c) 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 35 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? ​(Round to one decimal place as​ needed.)

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The shape of the distribution of the time required to get an oil change at a 15​-minute oil-change facility is unknown.​ However, records indicate that the mean time is 16.2 minutes​, and the standard deviation is 4.9 minutes. Complete parts ​(a) through ​(c).

​(c) 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 35 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?
​(Round to one decimal place as​ needed.)
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