A 2016 study was interested in comparing Serum Creatinine levels in diabetic (cases) and non-diabetic (control) patients. Lower serum creatinine is associated with stronger/better kidney health. The study sampled 100 cases and 100 controls from the Dr. D.Y. Patil Medical College in Pimpri-Chinchwad, India and found the average serum creatinine of diabetics was 1.13 mg/dL with a standard deviation of 0.77 mg/dL while the mean and standard deviation of the non-diabetics were 0.89 and 0.21 mg/dL respectively. Use this information to answer the following.

a) Perform a hypothesis test and give a 95% confidence interval for the difference in serum creatinine between diabetic and non-diabteic patients. Assume the population standard deviation of each group is different. Be sure to include all 8 steps of your hypothesis test and interpret your confidence interval.

b) Ignore your answer from part (a) and assume we all calculated a confidence interval of (-0.26, 0.74) (I made those numbers up so don't stress if your answer from part (a) is way off). On midterm 1, we used this data information and we were unable to come to a clear conclusion as to whether there was evidence