A. An institutional researcher at a large university wants to compare the mathematical abilities of its male and female students. A researcher selects 100 men and 100 women at random from each of the four classes and administers a standardized mathematics test. The men average 500 on the test, with a standard deviation of 120. The women average 450 on the test, with a standard deviation of 110. 1. What test would be appropriate to determine whether the difference between men and women is real or due to chance variation? (2 pt) 2. What are the hypotheses? (2 pts) H0: Ha: 3. If the distribution of female scores is skewed, what type of test would you run? (1 pt) 4. If the p-value =0.02, what do you do to the HO? (1 pt)