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Let X1, ..., Xn be i.i.d. from the discrete uniform distribution on {1, ..., θ}, where θ is an integer ≥ 2. Find a level α LR test for
(a) H0; θ ≤ θ0 versus H1; θ > θ0, where θ0 is a known integer ≥ 2;
(b) H0; θ = θ0 versus H1; θ ≠ θ0.
Statistics and Probability, Statistics
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