2. Scotts American Bulldog males have weights that are normally distributed with a mean of 85 pounds and a standard deviation of 14.6 pounds. Female American
Bulldog have weights that are normally distributed with a mean of 69 pounds and
a standard deviation of 8.8 pounds. We take a sample of 9 male and 8 female
American bulldogs. What is the probability that the difference in mean weight of
the samples (Male - Female) is greater than fifteen pounds? (Please attach your
work).