Q. 22 Using Neyman-Pearson lemma, find the best critical region for the test of hypothesis Ho:µ =H0 vs. Hj: µ = µ, for the normal population f (x; µ, o²) when o? is known in the cases, (i) Ho H. Also find the power of the test.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Q. 22 Using Neyman-Pearson lemma, find the best
critical region for the test of hypothesis Ho:µ = µ0
vs. Hj : µ = H, for the normal population f (x; µ, o²)
when o² is known in the cases, (i) µo < H1 (ii) µo>
Also find the power of the test.
Transcribed Image Text:Q. 22 Using Neyman-Pearson lemma, find the best critical region for the test of hypothesis Ho:µ = µ0 vs. Hj : µ = H, for the normal population f (x; µ, o²) when o² is known in the cases, (i) µo < H1 (ii) µo> Also find the power of the test.
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