1) Describe how power of hypothesis test is influenced by each of following. Suppose that all other factors are held constant.
a) Increasing the alpha from 0.01 to 0.05.
b) Changing from one-tailed test to two-tailed test.
2) Researcher is estimating influence of treatment using sample selected from normally distributed population with mean of m = 80 and standard deviation of s = 20. Researcher expected 12 point treatment effect and plans to use two tailed hypothesis test with = 0.05.
Calculate power of test if researcher uses a sample of n = 16 individuals.