Let S2 1 and S2 2 denote, respectively, the variances of

Chapter 10, Problem 107E

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QUESTION:

Problem 107E

Let S2 1 and S2 2 denote, respectively, the variances of independent random samples of sizes n and m selected from normal distributions with means μ1 and μ2 and common variance σ 2. If μ1 and μ2 are unknown, construct a likelihood ratio test of H0 : σ 2 = σ 2 0 against Ha : σ 2 = σ2 a , assuming that σ 2 a > σ2 0 .

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QUESTION:

Problem 107E

Let S2 1 and S2 2 denote, respectively, the variances of independent random samples of sizes n and m selected from normal distributions with means μ1 and μ2 and common variance σ 2. If μ1 and μ2 are unknown, construct a likelihood ratio test of H0 : σ 2 = σ 2 0 against Ha : σ 2 = σ2 a , assuming that σ 2 a > σ2 0 .

ANSWER:

         

Step 1 of 5

Given that,

The random sample of size=225

The sample mean,  

The sample standard deviation,

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