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Let X1, . . . , Xn ∼ iid N(θ, σ^2 ) for σ ^2 known....

Let X1, . . . , Xn ∼ iid N(θ, σ^2 ) for σ ^2 known. Find the UMP size-α test for H0 : θ ≥ θ0 vs H1 : θ < θ0.

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