Example 9: Let X₁, X2, ..., X be an r.s. with size n from n(0,0). Is there a Uniform Most Powerful Test with probability a for the test H₂:0=0 H₁:0 +0, Sol.: H.W (Hint: Discuss each case individually, 0,>0, and 0, < 0)

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Example 9: Let X₁, X2, ..., X be an r.s. with size n from n(0,0). Is there a Uniform Most Powerful
Test with probability a for the test
H₂:0=0
H₁ :000
Sol.: H.W (Hint: Discuss each case individually, 0, 0, and 0, <0)
Transcribed Image Text:Example 9: Let X₁, X2, ..., X be an r.s. with size n from n(0,0). Is there a Uniform Most Powerful Test with probability a for the test H₂:0=0 H₁ :000 Sol.: H.W (Hint: Discuss each case individually, 0, 0, and 0, <0)
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