A biopsychologist studies the role of a new pain medication on pain tolerance. T

Question

A biopsychologist studies the role of a new pain medication on pain tolerance. They have people put their hands in super cold water and measure the time in seconds that they can keep their hands in the water. One group is given the pain medication and the other group is given a placebo. State the null and alternative hypotheses in symbols and words. Perform the F-max test. Decide what to do regarding H_0 and state your conclusion in APA format. Also, calculate the effect size. Use an alpha level of 05. two tails.

Explanation / Answer

H0: There is no significance difference between the variances of two groups

H1: There is significance difference between the variances of two groups

Let the los be alpha = 0.05

S12 = 108 / (6-1) = 21.6

S22 = 180 / (8-1) = 25.7143

Test Statistic

FMax = S22 / S12 = 25.7143 / 21.6 =1.1905

F critical value = 4.876 at (7,5) df

Here FMax < F critical value, so we accept H0

Thus we conclude that  there is no significance difference between the variances of two groups

Effect Size = 180 / 108 = 1.6667 , it ihigh effect

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