Two iid observations Y1,Y2 are to be drawn from a Uniform [0,θ] distribution. We wish to...

Two iid observations Y₁,Y₂ are to be drawn from a Uniform [0,θ] distribution. We wish to test the hypothesis H₀: θ = 1 vs. H₁: θ > 1 by rejecting H₀ if Y₁ + Y₂ ≥ k. Find the value of k which yields a 0.05 significance level for this test and calculate the power of this test for θ = 2.

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orchestra answered 1 year ago

Construct a two-sided (1−α)-CI for θ in Uniform[0,θ] based on IID Y1,...,Yn

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