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 from a \"Double-Blind, Placebo- Controlled Comparison of Imipramine and Paroxetine in the Treatment of Bipolar Depression,\" by Nemeroff et al, American Journal of Psychiatry, Vol. 158, N0. 6). [lower scores generally indicate lower depression] Treatment 25 22.5 3.77 Placebo 18 25.2 3.85 Find and interpret the 95% confidence interval for the population difference in mean Hamilton depression scale scores for the treatment and placebo groups. Assume equal population variances