Question

# 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 10-minute oil-change facility is unknown.​ However, records indicate that the mean time is 11.2 minutes and the the standard deviation is 4.9 minutes. The sample size is greater than or equal to 30. Please answer C below:

What is the probability that a random sample of n=35 oil changes results in a sample mean time less than 10 minutes? The probability is approximately 0.0735

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....please answer this. Round to 1 decimal place.

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