Suppose that the random variable Y has density functionf(y|θ) = 2θye−θy2for y > 0 where θ > 0 is a parameter. Determine the rejection region for the significant level α likelihood ratio test of using Y as the test statistic. Suppose that the random variable Y has density functionf (y|0) = 20ye-0y²for y > 0 where 0 > 0 is a parameter. Determine the rejection region for the significant level alikelihood ratio test ofHo : 0 = 1 vs.Vs. Нд :0 — 2using Y as the test statistic.2.

Answered: Image /qna-images/answer/5af5613b-011c-463f-9a13-aee66697f760.jpg

Answered: for y > 0 where 0 > 0 is a parameter.…

for y > 0 where 0 > 0 is a parameter. Determine the rejection region for the significant level a likelihood ratio test of Ho : 0 = 1 vs. HA : 0 = 2 using Y as the test statistic.

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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Question

Suppose that the random variable Y has density function

f(y|θ) = 2θye−θy2

for y > 0 where θ > 0 is a parameter. Determine the rejection region for the significant level α likelihood ratio test of

using Y as the test statistic.

Suppose that the random variable Y has density function
f (y|0) = 20ye-0y²
for y > 0 where 0 > 0 is a parameter. Determine the rejection region for the significant level a
likelihood ratio test of
Ho : 0 = 1 vs.
Vs. Нд :0 — 2
using Y as the test statistic.
2.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with o = 69. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? O Ho: H > 1,300 H: u = 1,300 Ο H,: μ= 1,300 H: u 1,300 (b) Let X denote the sample average compressive strength for n = 15 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). What is the probability distribution of the test statistic when Ho is true? O The test statistic has a binomial distribution. O The test statistic has a gamma distribution. The test statistic has a normal distribution. O The test statistic has an exponential distribution. If X = 1,340, find the…