Question: A randomized trial is run to compare two competing medications for peripheral vascular disease. One of the outcomes is self-reported physical functioning. After taking the assigned medication for six weeks, patients provide data on their abilities to perform various physical activities and a score is computed for each individual. The data is summarized below.

a.) Conduct the appropriate hypothesis test, assuming normality, to determine whether the mean physical functioning scores differ between the randomized groups. Use an alpha = 0.05.

b.) Construct a 95% confidence interval for the difference in mean physical functioning score between the randomized groups.

c.) Based on your answer to part B, is there a significant difference in mean physical functioning scores? Justify your answer. Does the confidence interval calculated in part B confirm or contradict your conclusion in part A?