(SUB PARTS A-D) Based on data obtained from A.C. Nielsen, the mean # of televisions in a household in the United States is 2.24. Assume the population standard deviation number of television sets in...

(SUB PARTS A-D)Based on data obtained from A.C. Nielsen, the mean # of televisions in a household in the United States is 2.24.  Assume the population standard deviation number of television sets in the United States is 1.38

a.) Describe the sampling distribution for all sample sizes of n = 40.

b.) A random sample of 40 households results in a sample mean of 2.55 tv sets per household. What is the probability of obtaining a sample mean of at least 2.55 if the population mean is 2.24?  Does this contradict the results reported by A.C. Nielsen?

c.) Construct a 95% confidence interval for the sample mean.  How does this support your conclusion on part b?

d.) Which would bemore likely to happen…one household to have 3 televisions or a sample of 40 households to have a mean of 3 televisions?  Explain.