Suppose you are an auditor, wishing to estimate the true mean dollar amount of a company’s accounts receivable. You know that the standard deviation of these dollar amounts is $1000. a. If you take a random sample of 100 accounts, what is the probability that your sample mean will be within $100 of the true mean? b. If you take a random sample of 500 accounts, what is the probability that your sample mean will be within $100 of the true mean?

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