The time taken by an automobile mechanic to complete an oil change is random, with mean 29.5

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The time taken by an automobile mechanic to complete an oil change is random, with mean 29.5 minutes and standard deviation 3 minutes.

a. What is the probability that 50 oil changes take more than 1500 minutes?

b. What is the probability that a mechanic can complete 80 or more oil changes in 40 hours?

c. The mechanic wants to reduce the mean time per oil change so that the probability is 0.99 that 80 or more oil changes can be completed in 40 hours. What does the mean time need to be? Assume the standard deviation remains 3 minutes.

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Statistics For Engineers And Scientists

ISBN: 9780073107677

6th Edition

Authors: William Navidi

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Question Posted: Feb 04, 2024 05:00 AM

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The time taken by an automobile mechanic to complete an oil change is random, with mean 29.5

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This problem involves several concepts from statistics namely the central limit theorem zscores and ...View the full answer

Statistics For Engineers And Scientists

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