Question: Bipolar depression treatment: In clinical experiments involving different groups of independent samples, it is important that the groups be similar in the ways that affect the experiment. In an experiment designed to test paroxitine for treating bipolar depression, subjects were measured using the Hamilton depression scale with the results given below: Using a .05 significance level test the claim that both populations have the same standard deviation.

Placebo: n=43, \(\bar{X}\) = 21.57, s = 3.87

Paroxitine: n = 33, \(\bar{X}\) = 20.38, s = 3.91