Business Week surveyed MBA alumni 10 years after graduation to ?nd out how much they spend eating out per week. You are asked to conduct a follow-up study by taking a sample of 40 of these MBA alumni. Assume the population standard deviation is $35.
a. Are the assumptions for the sampling distribution of x to be normally distributed satis?ed? Explain.
b. If the population mean for how much alumni spend is $115.50 per week eating out socially, what is the mean and standard deviation for the sampling distribution of x?
c. What is the probability the sample mean will be within $10 of the population mean?