(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.


  1. What is the probability that the sample of 64 will have a mean service time greater than 114 minutes?
  2. Assume the population consists of 400 services. Determine the standard error of the mean.

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