Recall that the probability of a type II error depends on the alternative specific value of the population parameter. Consider a hypothesis test with
H0 : μ = 10
and
Ha : μ > 10
a. For a fixed sample size, how do β(11) and β (15) compare? Are these two values approximately the same or different? If they are different, which is smaller, and why?
b. What happens to b(ma) as ma increases (gets farther and farther away from 10)?