I. IUULUJII CI A nutritionist is interested in whether two proposed diets, Magic Mervyn's eat-alltheprunes you-want diet and The "Fat? What fat?\" diet work equally well in providing weight-loss for customers. In order to assess a difference between the two diets, she puts 50 customers on Magic Merv's diet and 60 other customers on the "Fat? What fat?" diet for two weeks. Those on the former had weight losses with an average of 11 pounds and a standard deviation of 3 pounds, while those on the latter lost an average of 8 pounds with a standard deviation of 2 pounds. Use a = 0.01 a. Do the diets differ in terms of their weight loss ? Use both the test statistic and pvalue approaches. b. Construct the 99% confidence interval of the true difference in means of weight loss. 0. Using this condence interval, can the conclusion be the same as in part a) ? Explain. Problem 9 A researcher wants to compare the starting salaries of college graduates who majored in chemical engineering and computer science. She randomly selects a sample of 50 graduates from each major, and records their starting salaries. The table below contains the means and standard deviations of each sample. Major Mean SD Chemical Engineering $53,659 $2,225 Computer Science $51,042 $2,375 Do the data provide sufcient evidence to indicate a difference in average starting salaries between the majors