Keep your final answer to four (4) decimal places, where relevant. 1. To compare whether the mean level of saturated fat is different between three different brands of margarine (A, B and C), a researcher took five samples each of the three brands and analyzed the level of fat. The results are shown below, with the fat content given (in grams) per 20-g serving: Brand A Brand B Brand C 12.5 15.3 14.2 13.2 15.4 13.9 12.8 14.6 14.3 13.0 15.0 14.5 12.9 14.5 13.8 (8 points) a. Use Hartley's F test to verify whether the condition about variance is satisfied. (12 points) b. Can it be concluded at the 5% significance level that there are differences in the mean level of saturated fat between the three brands? (Assume that all requirements are satisfied for this test.) (2 points) c. What happens to the F statistic when the sample size increasesfor example, from 5 to 15? Justify your answer.