2. Let X~ N (0,0²) and {X; : i = 1, 2, ..., n} be a random sample from X. Suppose that we are interested in testing of Ho: o² = 0 vs H₁:0² = 01, where oo. Find a uniformity mostly powerful test with significance level a.

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2. Let X~ N (0,0²) and {X; : i = 1, 2, ..., n} be a random sample from X. Suppose that we
are interested in testing of
Ho: o² = 02
of vs H₁ : 0² = 0²,
1
where o o. Find a uniformity mostly powerful test with significance level a.
Transcribed Image Text:2. Let X~ N (0,0²) and {X; : i = 1, 2, ..., n} be a random sample from X. Suppose that we are interested in testing of Ho: o² = 02 of vs H₁ : 0² = 0², 1 where o o. Find a uniformity mostly powerful test with significance level a.
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