Mortagage rate following are interest rates ( annual percentage rates) for a 30 year rate mortage from a sample of lender in Macon Georgia on a recen day. It is reasonable to assume that the population is approximately normal

A) Construct a 99% confidence interval for the mean rate.

B) One week the mean rate was 4.050% A mortgage broker claims that the mean rate is now higher. Based on the confidence interval, is this a reasonable claim. Explaim.

4.750	4.375	4.176	4.679	4.426	4.227
4.125	4.250	3.950	4.191	4.299	4.415