Mortgage rates: Following are interest rates (annual percentage rates) for a 30-year fixed rate mortgage from a sample of lenders in Macon, Georgia for one
day. It is reasonable to assume that the population is approximately normal.

4.754 4.372 4.174 4.678 4.424 4.227
4.123 4.254 3.951 4.291 4.414


(a) Construct a 95% confidence interval for the mean rate. Round the answer to at least four decimal places.
A 95% confidence interval for the mean rate is < M