The time reqired for an automotive center to complete an oil change service on a

Question

The time reqired for an automotive center to complete an oil change service on an automobile approximately follows a nomal distribution, with a mean of 17 minutes and a standard deviaton at 4 minutes (a) The automot ve center guarantces customers that the service will take no longer than 20 minutes. It it dces take longer, tne customerwl receive the service tor halt-price. Wat percent of customers receve the service tor hali-price? (b) if the automotive center does not want to give the discount to more than 25% of its customers, how long should it make the guaranteed time limit? Clk.k here to veew the standard normal distnbution table tpage 1 wnat perc the servicc (a) The percent of customers that receive the service for half price is (Round to two decimal places as needed %.

Explanation / Answer

a) P(X>20)

P(Z>(20-17)/4)

= 22.66%

So, answer is 22.66%

b) Critical value at 2% is 2.05379

X value = 2.05379*4+17 = 25.22

So, answer is 25.22

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