If you want to test Ho = 0 versus H1≠ 1,with significance level alpha, but instead of testing this directly, you have a strategy:
-> X1,...,Xn is a random sample from a N(µ,σ2) distribution with σ2 known (I shall denote the mean of X as X(m)) and we obtain Z = X(m)/(σ/√n)
If Z > 0, let H1 : µ >...