Question

Missy Walters owns a mail-order business specializing in baby clothes. Missy is confident the dollar amounts of allher orders are normally distributed or nearly so. Assume she knows the mean and standard deviation are $249 and $46, respectively, for allorders she receives.
a. Describe the sampling distribution of , where is the mean dollar-amount of an order for a sample of 10 orders.
b. What is the probability that a simple random sample of 30 orders will provide an estimate of the population mean dollar-amount of an order that is within plus or minus $10 of the actual population mean?
c. What happens to the sampling distribution of when the sample size is increased from 30 to 90? With a sample size of 90, what is the probability that will be between $239 and $259?

Answer

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