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a. Compute the 95% and 99% confidence intervals on the mean based on a sample mean...

a. Compute the 95% and 99% confidence intervals on the mean based on a sample mean of 50 and population standard deviation of 10, for a sample of size 15.

b. What percent of the 95% confidence intervals would you expect to contain µ? What percent of the 95% confidence intervals would you expect to contain x̅? What percent of the 95% confidence intervals would you expect to contain 50?

c. Do you think that the intervals containing µ will differ in length from those that do? If so, why?

d. If you already knew that the population mean was 50, what value would there be in computing a confidence interval?

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