R studio template is in this google drive file:https://drive.google.com/drive/folders/1-0vAauUKLg-njx3WlnY3Kooj-0D_VwC8Use T distribution for all problems involving means, even if sample size is large. Use t. Test for any problems with raw data. Use tsum.test if you only have summary data. Don't use z.test or Xsum.test.

No Data Set 8. In clinical experiments involving distinct groups of independent samples, it is important that the groups be similar in the important ways that affect the experiment. In an experiment designed to assess the effectiveness of paroxetine for treating bipolar depression, subjects were measured using the Hamilton depression scale with the summary results given below (based on data om a \"Double-Blind, Placebo- Controlled'Comparison of Imipramine and Paroxetine in the Treatment of Bipolar Depression,\" by Nemeroff et 31., American Journal of Psychiatry, Vol. 158, No. 6). [lower scores generally indicate lower depression] " + -- 22.5 3.77 m 25.2 3-85 _ Find and interpret the 95% condence interval for the population difference in mean Hamilton depression scale scores for the treatment and placebo groups. Assume equal population variances. (2 points)