Solution Found!
Let S2 1 and S2 2 denote, respectively, the variances of
Chapter 10, Problem 107E(choose chapter or problem)
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 .
Questions & Answers
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,