Question: To test the effectiveness of a treatment, a sample of n=25 people is selected from a normal population with a mean of u=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 o =10, can you conclude that the treatment has a significant effect? Use a two tailed test with a= .05.
2. If the population standard deviation is o =20, can you conclude that the treatment has a significant effect? Use a two tailed test with a= .05.
3. Compute Cohen’s d to measure effect size for both tests (o = 20 and o = 10).
4. Briefly describe how the standard deviation influences the outcome of the hypothesis test. How does o influence measures of effect size?

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