RSSuppose X1,... , XnN(µ, o?), o²: known, O= {µ0, H1}.Ho : µ = lo vs. H1 : µ = µ1(< Ho)Find a test statistic and construct a critical region with significance level a.

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Answered: RS Suppose X1,.. , Xn N(4, o2), o²:…

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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We collected a sample of twenty-five observations. We assumed that the observations are from a population whose values follow a normal distribution with a mean of u and a standard deviation of five. We performed a test with these hypotheses Ho: μ = 0H₁ = 0 and H₁ : μ0H₁0. The test statistic is the sample mean . The 5% rejection region is 1.959964 > 1.959964. What is the power of this test when μ = -2μ = -2? Please state the statistical power up to the fourth decimal place.
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RS Suppose X1,.. , Xn N(4, o2), o²: known, O = {40, H1}. (Orl >)Irl = rl: 'H sa Ort = 1l : 0H Find a test statistic and construct a critical region with significance level a.