16. (10 marks) Researchers measured food intake of 100 students. The following table summarizes the protein intake measurements. Boys Girls Mean S.d. 71 Mean S.d. 72 Protein intake (g) 24.5 4.1 45 20.5 8.3 55 (a) (4 marks) Construct a two-sided 99% confidence interval for the difference in mean protein intake measurements between the boys and girls. (b) (6 marks) Does the above give evidence to suggest the boys intake more protein than the girls in average? Test at the 5% significance level