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Probability distribution of a sample mean

A wholesaler assures retailer replacement times for TVs normally dist. with mean of 8.2 and s.d. of 1.1. The retailer finds that a random sample of 20 sets from the wholesaler have mean replacement time of 7.6 years. Find P of getting a sample of 20 TVs with a mean replacement time of 7.6 years or less.
Is wholesaler trustworthy?

Solution Summary

This solutions finds the probability of an event related to a sample mean by applying the central limit theorem.