I need the answer as soon as possible sleaExercise Suppose X1, .Xn is a random samplefrom a distribution with pdff (x; 0) = e'-(z-0) I10,00) (æ).and let 00 be a fixed number in e = (-∞, x). Consider theone-sided test Ho : 0 <0 versus H1 :0 > 0. Show that thelikelihood ratio test which rejects Ho if X(1 >K is a UMPPg=o(X(1) 2 K).%3Dlevel a test where a =Dr. Asieh Abtahi - Faculty of Mathematics and Statistics -Islamic Azad University of Shiraz - Iran24

Answered: Image /qna-images/answer/b79805a8-87dd-426f-a38c-7072eb94511c.jpg

Answered: level a test where a = Pg=o(X(1) > K).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An instrument is used to measure very small concentrations, X, of a certainchemical in soil samples. Suppose that the values of X in those soils in which thechemical is present is modeled as a random variable with density function f (x).The assay of a soil reports a concentration only if the chemical is first determinedto be present. At very low concentrations, however, the chemical may fail tobe detected even if it is present. This phenomenon is modeled by assuming thatif the concentration is x, the chemical is detected with probability R(x). Let Ydenote the concentration of a chemical in a soil in which it has been determinedto be present. Show that the density function of Y isg(y) = R(y) f (y)/An instrument is used to measure very small concentrations, X, of a certainchemical in soil samples. Suppose that the values of X in those soils in which thechemical is present is modeled as a random variable with density function f (x).The assay of a soil reports a concentration only if the…
Let y1,y2,...,y10 be a random sample from an exponential pdf with unknown parameter λ. Find the form of the Generalized Likelihood Ratio Test for H0: λ = λ0 versus H1: λ doesn't equal λ0. What integral would have to be evaluated to determine the critical value if α were equal to 0.05?
1.- A study conducted in the automotive field states that more than 40% of vehicle engine failures are due to problems in the cooling system. To test this statement, a study is carried out on 70 vehicles and the critical region is defined as x < 26, where x is the number of vehicle engines that have problems in the cooling system. (use the normal approximation)a) Evaluate the probability of making a type I error, assuming that p = 0.4.b) Evaluate the probability of committing a type II error, for the alternative p = 0.3.
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