13. An instructor of a weight loss program is considering conducting a second season of the program. Before making any decision, he analyzed the data obtained from the previous season of the program to see the effectiveness of the program. The data are shown in the table below. Before 62 73 84 74 65 71 95 79 77 After 50 65 89 55 70 50 80 69 54 a) Construct a 99% confidence interval for the difference in the average weight before and after the weight loss program. b) Should the instructor proceed with the second season of the weight loss program? 14. To compare the average salary of the alumni of an institution before and after several years of experience, a lecturer collected information on the salary of 24 random samples of alumni. The data were analyzed and the following results were produced. Paired Samples Statistics Mean N Std. Deviation Std. Error Mean Pair 1 Current 34,870.83 24 17,624.96 3,597.68 Beginning 15,152.50 24 4,662.69 951.77 Paired Samples Test Paired Differences 95% Confidence Interval of the Difference Std. Std. Error Lower Upper Sig. Mean Deviation Mean df (2 tailed) Pair 1 Current - 19,718.33 13,885.27 2,834.32 13,854.12 25,582.54 6.957 23 000 Beginning Show that the margin of error for constructing the 95% CI for J. is 5864.204. b ) State the 95% confidence interval for Ha. C) Is there a significant difference in the average salary before and after several years of experience