i.i.d Assume X₁,..., X. N(0,0²). To test Ho : a = 2 v.s. Xn H₁:0=1, by the Neyman-Pearson lemma, which of the following is the most powerful critical region of size a? (A) {Σ, X; > ca} (D) {Σ=1X; < ca} (C) {Σ=1X? > ca} (D) {Σ=1x? < c@} [Ca is some constant depends on a, such that the test is of size a.]

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i.i.d
Assume X₁,..., Xn
N(0,02). To test Ho: a = 2 v.s.
H₁ : 0 = 1, by the Neyman-Pearson lemma, which of the following
is the most powerful critical region of size a?
(A) {Σ=1 X; 2 c@}
(D) {Σ=1X; < ca}
(C) {Σ²/1X² ≥ Ca}
(D) {Σ=1x? < ca}
is some constant depends on a, such that the test is of size a.]
Transcribed Image Text:i.i.d Assume X₁,..., Xn N(0,02). To test Ho: a = 2 v.s. H₁ : 0 = 1, by the Neyman-Pearson lemma, which of the following is the most powerful critical region of size a? (A) {Σ=1 X; 2 c@} (D) {Σ=1X; < ca} (C) {Σ²/1X² ≥ Ca} (D) {Σ=1x? < ca} is some constant depends on a, such that the test is of size a.]
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