Rickman et al. conducted a study of changes in triglyceride levels of subjects following the Stillman diet. The diet consists primarily of protein and animal fats, restricting carbohydrate intake. The subjects followed the diet with length of time varying from 3 to 17 days. The dataset triglyceride.txt is uploaded to ICON.

TG_Base TG_Final 159 194 93 122 130 158 174 154 148 93 148 90 85 101 180 99 92 183 89 82 204 100 182 104 110 72 88 108 134 110 84 81

(a) developing a histogram of the changes in triglyceride levels (Final - baseline values).

(b) Calculate the average change in triglyceride level. Calculate the standard error of the difference.

(c) Test the significance of the average change using a frequentist approach at the type I error rate of 0.10.

(d) Construct a 90% confidence interval of the difference.

(e) Test the significance of the average change using a Bayesian approach.

(f) Construct a 90% credible interval of the difference.

(g) Interpret the results.