Suppose that independent random samples of sizes n1 and n2

Chapter 10, Problem 112E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Problem 112E

Suppose that independent random samples of sizes n1 and n2 are to be selected from normal populations with means μ1 and μ2, respectively, and common variance σ 2. For testing H0 : μ1 = μ2 versus Ha : μ1 − μ2 > 0 (σ 2 unknown), show that the likelihood ratio test reduces to the two-sample t test presented in Section 10.8.

Questions & Answers

QUESTION:

Problem 112E

Suppose that independent random samples of sizes n1 and n2 are to be selected from normal populations with means μ1 and μ2, respectively, and common variance σ 2. For testing H0 : μ1 = μ2 versus Ha : μ1 − μ2 > 0 (σ 2 unknown), show that the likelihood ratio test reduces to the two-sample t test presented in Section 10.8.

ANSWER:

Step 1 of 7

We have  from Normal distribution with mean  and variance  and  from Normal distribution with mean  and variance . We have to find likelihood ratio test for

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back