i.i.d Assume X1,..., Xn N(μ, 1). To test Hoμ<0 v.s. H₁ > 0, the size a test rejects when χ- μο Z= > Za σ√√n where μo = 0 and σ = 1 in this question. Let a = ẞ= 0.025. The smallest n such that power of the size-a test at μ = 0.01 at least 1-ẞ is (A) 153664 (B) 38416 (C) 392 (D) 196

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Question
i.i.d
Hoμ≤0
Assume X1,..., XN(μ, 1). To test Ho: <0 v.s.
H₁ > 0, the size a test rejects when
Χ - μο
>Za,
Z=
where μo = 0 and σ = 1 in this question. Let a = ẞ=0.025. The
smallest n such that power of the size-a test at μ = 0.01 at least
1-Bis
(A) 153664
(B) 38416
(C) 392
(D) 196
Transcribed Image Text:i.i.d Hoμ≤0 Assume X1,..., XN(μ, 1). To test Ho: <0 v.s. H₁ > 0, the size a test rejects when Χ - μο >Za, Z= where μo = 0 and σ = 1 in this question. Let a = ẞ=0.025. The smallest n such that power of the size-a test at μ = 0.01 at least 1-Bis (A) 153664 (B) 38416 (C) 392 (D) 196
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