(7 points) A study was being performed to see if the grades of students in a certain math class differed whether they took the class in the fall or the winter term. Each term 10 students were randomly selected (we can assume the two samples are independent and from two normal distributions with the same variances). The following are the students grades from the respective terms. Fall : 82, 88, 61, 64, 63, 42, 87, 42, 57, 60 Winter : 82, 63, 86, 51, 67, 99, 65, 94, 65, 86 Answer the following questions to construct a 99% confidence interval for the difference between the overall class average of the two terms 64.6 75 8 critical value = 2878 -9 543