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