A small college is concerned that their online classes are not performing the same as their face-to-face classes. To test this claim, the college randomly selects students from their online and face-to-face classes, gathers their average grades, and finds the summary statistics in the table below. Online Grades MEAN (x) SD (s) COUNT (n) 73.2 3.89 27 Face-to-Face Grades 75.8 4.22 29 Construct and interpret a 99% confidence interval on the difference between the means of the two courses using the information (5 points - 3 pts work, 1 pt interval, 1 pt conclusion).