A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, xbar, is found to be 108, and the sample deviation, s, is found to be 10.

A) Construct a 96% confidence interval for population mean if sample size n = 25

B) Construct a confidence interval for population mean if the sample size, n, is 10.Compare the results with those obtained in part a) How does decreasing the sample size affect the margin of error, E?

C) Construct a 90% confidence interval for population mean if sample size n = 25. Compare the results with those obtained in a). How does decreasing the level of confidence affect the size of the margin of error, E?

D) Could we have computed the confidence intervals in questions (A-C) if the population had not