Question: The two leading drugs for statistical depression are Prozac and Zoloft.

In order to evaluate which drug is better in relieving statistical depression, the University of Alaska’s medical research facility randomly selects nine students who will receive 50mg of Prozac and five students who will receive 75mg of Zoloft. After several months of analysis the final findings were reported as follows: the group of students who took Prozac had an average depression relieve time of 140 minutes with a standard deviation of 42 minutes; the group of students who took Zoloft had an average depression relieve time of 122 minutes with a standard deviation of 37 minutes. At a one percent significance level test the claim that Zoloft is more effective in relieving statistical depression. Assume the population standard deviation is unknown.

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