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 m in comparison to the previous treatment. The data yielded y-bar = 2.17 and s = 1.05.
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?