Question: CLEARLY SHOW YOUR WORK TO GET MAXIMUM POINTS Student Name: Historically, the time required to do basic servicing (oil change, topping off fluids, tire

CLEARLY SHOW YOUR WORK TO GET MAXIMUM POINTS Student Name: Historically, the

CLEARLY SHOW YOUR WORK TO GET MAXIMUM POINTS Student Name: Historically, the time required to do basic servicing (oil change, topping off fluids, tire pressure check, etc.) on a car has been normally distributed with a mean of 21.6 minutes and a standard deviation of 5 minutes. Sycamore Sam recently opened a car service station that aims to reduce that time significantly. A. (2.5 points) How large a sample of service times would have to be taken in order to estimate the true average time to within 1.4 minutes with 95% confidence? B. (2.5 points) If you use the sample size calculated in part (A) to actually collect sample data, what is the probability that the average service time from this sample will exceed 23 minutes?

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