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, 4.533, 4.365, 4.301, 4.842. Find the upper bound of the 99% confidence interval for the mean rate. Round to three decimal places.