A survey of college students reported that in a random sample of 413 male college students, the average number of energy drinks consumed per month was 2.49 with a standard deviation of 4.87, and in a random sample of 382 female college students, the average was 1.22 with a standard deviation of 3.24.
a) Check if the assumptions are met to compute a 99% confidence interval for the difference between men and women in the mean number of energy drinks consumed.
b) If the assumptions are met, use Minitab to compute the confidence interval and write the interpretation of the confidence interval.