13. The mean number of words per minute (WPM) typed by a speed typist is 140 with a variance of 196.
What is the probability that the sample mean would differ from the population mean by more than 4.5 WPM if 76 speed typists are randomly selected? Round your answer to four decimal places.
15. The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 37,724 miles, with a standard deviation of 2536 miles.
What is the probability that the sample mean would be less than 37,502 miles in a sample of 33 tires if the manager is correct? Round your answer to four decimal places.
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