Question: A researcher is evaluating the influence of a treatment using a sample selected from a normally distributed population with a mean of \(\mu \) =80 and a standard deviation of \(\sigma \) =20. The researcher expects a 12 point treatment effect and plans to use a two tailed hypothesis test with a=.05.

a. Compute the power of the test if the researcher uses a sample of n=16

b. Compute the power of the test if the researcher uses a sample of n=25