A researcher is investigating the effectiveness of a new medication for lowering blood pressure for individuals with systolic pressure greater than 140. For this population, systolic scores average u=160 with a standard deviation of o=20 and the scores form a normal -shaped distribution. The researcher plans to select a sample of n=25 individuals, and measure their systolic blood pressure after they take the medication for 60 days. If the researcher uses a two-tailed test with ox=0.05.
a. What is the power of the test if the medication has a 5-point effect?
b. What is the power of the test if the medication has a 10-point effect?