Consider the following hypotheses:
H0: m ≥ 103
HA: m < 103
A sample of size 20 is to be taken from a population with a mean of 100 and a standard deviation of 4. Determine the probability of committing a Type II error for each of the following significance levels:
a. a = 0.01
b. a = 0.025
c. a = 0.05