Means

Discussion: If μ = μ0, then we would expect the sample mean, X, to be greater than:

t S

n 0 1µ − −β

with probability 1 − β. If

X t S

n 0 1≥ µ − −β

we would reject the hypothesis that μ < μ0. Or, in other words, we reject H0 if

X t S n

1 0+ ≥ µ−β .