Based on data obtained from A. C. Nielsen, the mean number of televisions in a household in the United States is 2.24. Assume that the population standard deviation number of television sets in the United States is 1.38.
(a) Do you believe the shape of the distribution of number of television sets follows a normal distribution? Why or why not?
(b) A random sample of 40 households results in a total of 102 television sets. What is the mean number of televisions in these 40 households?
(c) What is the probability of obtaining the sample mean obtained in part (b) if the population mean is 2.24? Does the statistic from part (b) contradict the results reported by A. C. Nielsen?

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