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Suppose that in one region of the country the mean amount of credit card debt per houschold is $15,250, with a standard deviation of $7,125.

Suppose that in one region of the country the mean amount of credit card debt per houschold is $15,250, with a standard deviation of $7,125. A sample of 1600 such households is taken.

(a) What is the probability the sample mean credit card debt per household is within $300 of the population mean?

(b) What is the probability the sample mean credit card debt per household is within $500 of the population mean?

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