To test the effectiveness of a treatment, a sample of n = 25 people is selected from a normal popula
Question: To test the effectiveness of a treatment, a sample of n = 25 people is selected from a normal population with a mean of m = 60. After the treatment is administered to the individuals in the sample, the sample mean is found to be M = 55.
a. If the population standard deviation is s = 10, can you conclude that the treatment has a significant effect? Use a two-tailed test with a = .05.
b. If the population standard deviation is s = 20, can you conclude that the treatment has a significant effect? Use a two-tailed test with a = .05.
c. Compute Cohen’s d to measure effect size for both tests (s = 20 and s = 10).
d. Briefly describe how the standard deviation influences the outcome of the hypothesis test. How does s influence measures of effect size?
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