Two Independent Samples t-test You want to find out whether a particular form of

Question

Two Independent Samples t-test You want to find out whether a particular form ofcognitive behavioral therapy decreases depressive symptoms patients. You use a symptom score that ranges from 0 to 50(with 50 being the most severe depressionk You do a small study in which five randomly sampled patients are assigned to a treatment group and five randomly pled patients assigned to control group, which receives no treatment. We are assuming that the two populations have the same standard deviation. Alpha is set to 05. 1. What is your null and altemative hypothesis (in words AND symbols (Remember You need testate these hypotheses in terms of population means!) (5pt0 2. The mean for the control group sample is 35 and the mean for the treatment group sample is 25. Findthe pooled estimate of the population standard deviation using the table and formulas below (15 (score mean) (score-mean Control 35 Control Control 26 Control Treatment 12 Treatment Treatment 19 Treatment sum of squared deviations of squared deviations Nitreatment 3. Calculate the t-test statistic using the formula below 10p)

Explanation / Answer

Q-4

Df=n1+n2-2=5+5-2=8

At 0.05 level two tailed critical t=±2.306

Q-5

We reject the null hypothesis as calculated t=3.0572>2.306

Q-6

As null hypothesis is rejected we conclude that the treatment on average affect patients symptom score

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