Use a computer software program to simulate 100 samples of size 25 from a normal distribution with µ = 30 and σ = 5. Test the hypotheses H0: µ ≠ 30 versus Ha: using each of the 100 samples of n = 25 and using a = .05.
a. How many of the 100 tests of hypotheses resulted in your reaching the decision to reject H0?
b. Suppose you were to conduct 100 tests of hypotheses and in each of these tests the true hypothesis wasH0. On the average, how many of the 100 tests would have resulted in your incorrectly rejecting H0, if you were using a _ .05?
c. What type of error are you making if you incorrectly reject H0?