Suppose that X N ( 1 , 2 ), both unknown We plan to test H 0 1 0, 2 1 vs H 1 1 1, 2 3 Find the simplest expression you can for a BCR in this setting Assume a random sample of size n

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Question: Suppose that X N ( 1 , 2 ), both unknown. We plan to test H 0 : 1 = 0,

Suppose that X ∼ N (θ₁, θ₂), both unknown. We plan to test H₀: θ₁ = 0, θ₂ = 1 vs. H₁: θ₁ = 1, θ₂ = 3. Find the simplest expression you can for a BCR in this setting. Assume a random sample of size n.

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