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. 4.752 4.374 4.172 4.678 4.421 4.227 4.125 4.251 3.953 4.194 4.295 Send data to Excel Part: 0 / 2 Part 1 of 2 (a) Construct a 90% confidence interval for the mean rate. Round the answer to at least four decimal places. A 90 % confidence interval for the mean rate isLifetime of electronics: In a simple random sample of 100 electronic components produced by a certain method, the mean lifetime was 125 hours. Assume that component lifetimes are normally distributed with population standard deviation o = 20 hours. Round the critical value to no less than three decimal places. Part: 0 / 2 Part 1 of 2 (a) Construct a 95 % confidence interval for the mean battery life. Round the answer to the nearest whole number. A 95 % confidence interval for the mean battery life is X 5