Refer to Exercise 5.23. Compute the power of the test PWR and 2.5. Sketch a smoot...

Refer to Exercise 5.23. Compute the power of the test PWR and 2.5. Sketch a smooth curve through a plot of PWR

a. If α is reduced from .05 to .01, what would be the effect on the power curve?

b. If the sample size is reduced from 90 to 50, what would be the effect on the power curve?

REFERENCE:

5.23 : A study was conducted of 90 adult male patients following a new treatment for congestive heart failure. One of the variables measured on the patients was the increase in exercise capacity (in minutes) over a 4-week treatment period. The previous treatment regime had produced an average increase of μ = 2 minutes. The researchers wanted to evaluate whether the new treatment had increased the value of μ in comparison to the previous treatment. The data yielded

a. Using α = .05, what conclusions can you draw about the research hypothesis?

b. What is the probability of making a Type II error if the actual value of μ is 2.1?