Following are interest rates (annual percentage rates) for a 30 year fixed rate mortgage from a sample of lenders in a certain city.

Following are interest rates (annual percentage rates) for a 30 year fixed rate mortgage from a sample of lenders in a certain city. It is reasonable to assume that the population is approximately normal.

4.327, 4.461, 4.547, 4.305, 4.365, 4.515, 4.842

Find the upper bound of the 99% confidence interval for the mean rate.