A class survey in a large class for first-year college students asked, "About how many minutes do you study on a typical weeknight?" The mean response of the 270 students was xbar = 137 minutes. Suppose that we know that the study time follows a Normal distribution with standard deviation = 65 minutes in the population of all first-year students at this university. Use the survey result to give a 99% confidence interval for the mean study time of all first-year students.