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3. (05.02 MC) The amount people who pay for cell phone service varies quite a bit, but the mean monthly fee is $55 and the

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3. (05.02 MC) The amount people who pay for cell phone service varies quite a bit, but the mean monthly fee is $55 and the standard deviation is $22. The distribution is not Normal. Many people pay about $30 for plans with 2GB data access and about $60 for 5GB of data access, but some pay much more for unlimited data access. A sample survey is designed to ask a simple random sample of 1,000 cell phone users 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 *? Show your work and justify your reasoning. (4 points) Part B: What is the shape of the sampling distribution of #? Justify your answer. (2 points) Part C: What is the probability that the average cell phone service paid by the sample of cell phone users will exceed $56? Show your work. (4 points) (10 points) B i U Font Family AAADEE . C

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