Problems 1-4

A researcher wants to know if a newly discovered antidepressant drug, Teamocil, would reduce depression symptoms in the entire population of clinically depressed patients. There's no way to test this entire population, so she gets a sample of n = 30 depressed patients, and gives them Teamocil for four weeks. After the four weeks, they have a sample mean of M = 2.2 depression symptoms per week. For the general population of depressed patients (who aren't taking Teamocil), it is known that patients have a mean of u = 3.2 depression symptoms per week, with a standard deviation of o = 3. Perform a One-Sample Z-test, to see if we can conclude that Teamocil significantly affects depression. Show all 4 steps of the hypothesis test. Use two tails, a =.05 STEP 1 Ho: MTeamocil = 3.2 symptoms per week Teamocil has no effect on depression HI: /Teamocil # 3.2 symptoms per week Teamocil has effect on depression STEP 2 With a = .05, and 2 tails, z-critical = $1.96. Distribution of M's as if Ho were true: Zcritical =-1.96 Zcritical = +1.96 U Teamocil = 3.2 (Z= 0) AM