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A sample of n=9 scores is obtained from a normal distribution with ?= 12. The sample mean is M=60. a

Question: To test the effectiveness of a treatment, a sample of n-25 people is selected from a normal population with a mean of µ=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 σ=10, can you conclude that the treatment has a significant effect? Use a two tailed test with α=.05.

b. If the population standard deviation is σ=20, can you conclude that the treatment has a significant effect? Use a two tailed test with α=.05.

c. Compute Cohen`s d to measure effect size for both tests (σ=20 and σ=10).

d. Briefly describe how the standard deviation influences the outcome of the hypothesis test. How does σ influence measure of effect size?

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