Are low-fat diets or low-carb diets more effective for weight loss? A sample of 53 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 13.5 pounds with a sample standard deviation of 4.1 pounds. A second sample of 71 subjects went on a low-fat diet. Their sample mean weight loss was 11.5 with a standard deviation of 5.83. Can you conclude that the mean weight loss differed between the two diets? Use the = 0.05 level. i). State the appropriate null and alternate hypotheses. ii). Compute the test statistic. iii). How many degrees of freedom are there, using the simple method? iv). Do you reject H? State a conclusion.