1. The median cost of tuition at a US state university is $ 4260 per year. Consider this value as the population mean and assume a standard deviation of $ 900. Suppose a sample of 50 colleges is selected.

a) What is the probability that the simple random sample will provide a sample mean that does not differ from the population mean by more than $ 250?

b) What is the probability that the simple random sample will provide a sample mean that does not differ from the population mean by more than $ 100?

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