Nike's annual report says that the average American buys 6.5 pairs ofsports shoes per year. Suppose a sample of 61 customers is surveyed andthe population standard deviation of sports shoes purchased per year is 2.1.a. What is the standard error of the mean in this experiment?b. What is the probability that the sample mean is between 6and 7 pairs of sports shoes?c. What is the probability that the difference between thesample mean and the population mean is less than 0.35 pair?
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