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(b) What is the probability that a random sample of n = 35 oil changes results in a sample mean time less than 15 minutes?
(b) What is the probability that a random sample of n = 35 oil changes results in a sample mean time less than 15 minutes? The probability is approximately (Round to four decimal places as needed.) (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, at what mean oil-change time would there be a 10% chance of being at or below? This will be the goal established by the manager. There would be a 10% chance of being at or below minutes. (Round to one decimal place as needed.)The shape of the distribution of the time required to get an oil change at a 10-minute oil-change facility is skewed right. However, records indicate that the mean time is 11.4 minutes, and the standard deviation is 3.2 minutes. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2)
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