Let S2 1 and S2 2 denote, respectively, the variances of independent random samples of

Chapter 10, Problem 10.107

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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 1 and 2 and common variance 2. If 1 and 2 are unknown, construct a likelihood ratio test of H0 : 2 = 2 0 against Ha : 2 = 2 a , assuming that 2 a > 2 0 .

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