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Let X1, . . . , Xn ∼ Unif(0, θ). a) Is this family MLR in Y = X(n) (the sample maximum)? (b) Find...

Let X1, . . . , Xn ∼ Unif(0, θ). a) Is this family MLR in Y = X(n) (the sample maximum)? (b) Find the UMP size-α test for H0 : θ ≤ θ_0 vs H1 : θ > θ_0.

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