In order to project revenues and costs, the manager of a Jiffy Lube want to determine the average time it takes to do an oil change at the shop. Assume that the standard deviation of the time taken to do an oil change is known from historical records to be 3.6 minutes. a. After measuring the time taken for oil changes on 60 vehicles, the manager found that their average time was 16.2 minutes. Construct a 92% confidence interval for the average time taken to do an oil change. b. How many oil changes should be observed in this study (i.e. what sample size do you need) in order to have the mean oil change time estimated up to 15 seconds precision with 92% confidence?

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In order to project revenues and costs, the manager of a Jiffy Lube want to determine the average time it takes to do an oil change at the shop. Assume that the standard deviation of the time taken to do an oil change is known from historical records to be 3.6 minutes.

a. After measuring the time taken for oil changes on 60 vehicles, the manager found that their average time was 16.2 minutes. Construct a 92% confidence interval for the average time taken to do an oil change.

b. How many oil changes should be observed in this study (i.e. what sample size do you need) in order to have the mean oil change time estimated up to 15 seconds precision with 92% confidence?

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