Let X1,...,Xm; Y1,...,Yn be independent N(, 2) and N(, 2) respectively. The one-sided t-test of H :

Let X1,...,Xm; Y1,...,Yn be independent N(ξ, σ2) and N(η, σ2)

respectively. The one-sided t-test of H : δ = ξ/σ ≤ 0 is admissible against the alternatives (i) 0 <δ<δ1 for any δ1 > 0; (ii) δ>δ2 for any δ2 > 0.