Refer to Exercise 8.8. Suppose we want to test H o : = 0 against the

Question:

Refer to Exercise 8.8. Suppose we want to test Ho: μ = 0 against the alternative Ha: μ > 0. Since the estimator of μ is µ̂ = y̅, the likelihood ratio test statistic is

Show that

Use the fact that Σni=1 (yi - y̅)=  Σni=1 yi2 - ny̅2.


Data from Exercise 8.8

Suppose y1, y2, ..... yn is a random sample from a normal distribution with unknown mean m and variance σ= 1, i.e.,

  

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

Question Posted: