The owners of Spiffy Lube want to offer their customers a10-minute guarantee on their standard oil change
Question:
The owners of Spiffy Lube want to offer their customers a10-minute guarantee on their standard oil change service. If the oil change takes longer than 10 minutes to complete, the customer sis given a coupon for a free oil change at the next visit. Based onpast history, the owners believe that the timer required tocomplete an oil change has a normal distribution with a mean of 8.6minutes and a standard deviation of 1.2 minutes.
A. What percentage of customers will receive a free oil change coupon?
B. If management wants to limit thepercentage of customers receiving a coupon to no more than 1 out ofevery 25 customers on average, what should they change the guarantee time to?
C. Suppose management could improve the process by reducing the mean time required for an oil change (but keeping the standard deviation the same). What should be the mean service time leading to a 10-minute guarantee that gives a coup onto no more than 1 out of every 25 customers on average?