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Tor e 2. determine the ratio of the likelihood function A(x: 00, 0₁) = L(x: 00) L(x: 01)

Tor e 2. determine the ratio of the likelihood function A(x: 00, 0₁) = L(x: 00) L(x: 01)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please answer number 2
If X₁, X₂, ..., Xn is a random sample from the population with Gamma distribution (4,0) with density function: 1 f(x|0) = 604 To test Ho: 0 = 3 and H₁ : 0 > 3 at the significance level a = 5% 1. determine the likelihood function L(x: 0) = f(x₁,x2,..., Xn0) and the maximum likelihood estimator for 0 2. determine the ratio of the likelihood function A(x: 00, 0₁) = L(x: 00) i L(x: 0₁) 3. determine the critical region of the test, if known that - 2lnλ(x: 00, 0₁) has a X² distribution 4. give your conclusion about the test based on the following observations: 1 X₁ 3 2 4 3 4 2 3 x ³e ; x > 0 +3 5 2 LO 6 3 7 3 8 4 9 5 10 3
Transcribed Image Text:If X₁, X₂, ..., Xn is a random sample from the population with Gamma distribution (4,0) with density function: 1 f(x|0) = 604 To test Ho: 0 = 3 and H₁ : 0 > 3 at the significance level a = 5% 1. determine the likelihood function L(x: 0) = f(x₁,x2,..., Xn0) and the maximum likelihood estimator for 0 2. determine the ratio of the likelihood function A(x: 00, 0₁) = L(x: 00) i L(x: 0₁) 3. determine the critical region of the test, if known that - 2lnλ(x: 00, 0₁) has a X² distribution 4. give your conclusion about the test based on the following observations: 1 X₁ 3 2 4 3 4 2 3 x ³e ; x > 0 +3 5 2 LO 6 3 7 3 8 4 9 5 10 3
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