(Steps Shown) An automotive repair shop has determined that the average service time on an automobile is 2 hours with a standard deviation of 32 minutes.
Question: An automotive repair shop has determined that the average service time on an automobile is 2 hours with a standard deviation of 32 minutes. A random sample of 64 services is selected.
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What is the probability that the sample of 64 will have a mean service time greater than 114 minutes? - Assume the population consists of 400 services. Determine the standard error of the mean.
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