The mean tuition cost at state universities throughout the United States is $4,260 per year. Use this value as the population mean and assume that the population standard deviation is $900. Suppose that a random sample of 50 state universities will be selected. a) Show the sampling distribution of /x where /x is the sample mean tuition cost for the 50 state universities. Compute four decimal places b) What is the probability that the simple random sample will provide a sample mean within $250 of the population mean? Compute four decimal places c) What is the probability that the simple random sample will provide a sample mean within $100 of the population mean? Compute four decimal places

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The mean tuition cost at state universities throughout the United States is $4,260 per year. Use this value as the population mean and assume that the population standard deviation is $900. Suppose that a random sample of 50 state universities will be selected.

a) Show the sampling distribution of /x where /x is the sample mean tuition cost for the 50 state universities. Compute four decimal places

b) What is the probability that the simple random sample will provide a sample mean within $250 of the population mean? Compute four decimal places

c) What is the probability that the simple random sample will provide a sample mean within $100 of the population mean? Compute four decimal places 

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