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Statistics

Let random variable X have a pdf of the form f(x;0)= 0x®-',0

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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Let random variable X have a pdf of the form f(x;0)= 0x0-',0<x<1, and zero
elsewhere, where 0 e {1,2}. To test the null hypothesis H, :0 =1 versus the altemative
hypothesis H. :0 =2, we use a random sample X,,X,of size n= 2, and define the
rejection region to be C = {(x,X2); X,X2 2 0.75}.
%3D
a) Determine the significance level of this test.
b) Determine P(type II error).
c) Determine the power function of the test.

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