Let Y1,...,Yn ~N (, ). Assume that is unknown..

a)Is there an MP test for testing H₀ : = ₀ vs. H₁ : = ₁,

Where ₁ > ₀ in this case? If not, find the corresponding GLRT test.

(b) Is the above test also a GLRT for testing the one-sided hypotheses

H₀ : = ₀ vs. H₁ : > ₁

(c) Find the GLRT test at level a to test H₀ : ₀ vs. H₁ : < ₁