The amount people whopay for cable service varies quite a bit, but the mean monthly fee is $142 and the standard deviation is $29. The distribution is not
Normal. Many people pay about $76 for basic cable and about $160 for premium
service, but some pay much more. A sample survey is designed to ask a simple
random sample of 1,500 cable service customers how much they pay. Let X be the
mean amount paid.
Part A: What are the mean and standard deviation of the sample distribution of X?
Show your work and justify your reasoning. (4 points)
Part B: What is the shape of the sampling distribution of X? Justify your answer. (2
points)
Part C: What is the probability that the average cable service paid by the sample of
cable service customers will exceed $143? Show your work. (4 points) (10 points)