Please answer number 3 If X₁, X₂, ..., Xn is a random sample from the population with Gammadistribution (4,0) with density function:1f(x|0) =604To 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 02. determine the ratio of the likelihood function A(x: 00, 0₁) =L(x: 00)iL(x: 0₁)3. determine the critical region of the test, if known that -2lnλ(x: 00, 0₁) has a X² distribution4. give your conclusion about the test based on the followingobservations:1X₁ 3243 423x³e ; x > 0+352LO63738495103

3. From the given information, the density function is, fx|θ=16θ4x3e-xθ, x>0 Consider, the…

Answered: If X₁, X₂, ..., X is a random sample…

A First Course in Probability (10th Edition)

10th Edition

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Author:Sheldon Ross

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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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If X₁, X₂, ..., X is a random sample from the population with E distribution (4,0) with density function : 1 X -x³e ; x > 0 604 f(x|0) =