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Mathematics, 09.02.2021 01:10 elizediax6421

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)

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Answers: 2

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