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.

1. 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.
2. 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.
3. Compute Cohen`s d to measure effect size for both tests (σ=20 and σ=10).
4. 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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