Managers at the Smooth Ride Car Rental Company are interested in the mean number of miles that people drive per day. From past experience, they know that the standard deviation is 75 miles. A random sample of 6 car rentals shows that the people drove the following numbers of miles: 152, 222, 300, 84, 90, and 122. Construct a 99 % confidence interval for the mean number of miles driven.