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 H_o: μ = 0 against the alternative H_a: μ > 0. Since the estimator of μ is µ̂ = y̅, the likelihood ratio test statistic is

Show that

Use the fact that Σⁿ_i=1(y_i - y̅)²= Σⁿ_i=1 y_i² - ny̅².

Data from Exercise 8.8

Suppose y₁, y₂, ..... y_n is a random sample from a normal distribution with unknown mean m and variance σ²= 1, i.e.,

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Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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Question Posted: May 17, 2021 07:59 AM

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

Question:

L(Ho) L(0) %3D L(û) L(y)

Step by Step Answer:

Statistics For Engineering And The Sciences

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