After four weeks in the program, Weight Watchers wants to know if there is a difference between the weight loss in men as opposed to the weight loss in women. After four weeks, a sample of 50 men revealed a mean weight loss of 18.6 pounds while a sample of 45 women revealed a mean weight loss of 22.8 pounds. The standard deviation of weight loss in men and women is 5.8 pounds and 4.0 pounds respectively. At the 0.01 significance level, in the first four weeks, is there a difference between the weight loss in men as opposed to the weight loss in women?