Suppose that you wish to test H0: = 10 versus Ha: > 10 at the

Question:

Suppose that you wish to test H0: µ = 10 versus Ha: µ > 10 at the α = 0.05 significance level.
Furthermore, suppose that you observe values of the sample mean and sample standard deviation when n = 40 that do not lead to the rejection of H0. Is it true that you might reject H0 if you observed the same values of the sample mean and sample standard deviation from a sample with n > 40? Why or why not?