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We would like to test the following hypothesis to compare the variances of two normal populations. H:σ=σ We collect 3 random observations from each population as follows: Population1: X₁ =1,X₂ = 2,X3=3 Population2: Y= −2, Y₂ = 0, Y3 = 2 a) Test the above hypothesis using p-value. (Assume a=0.05) b) Suppose the null hypothesis is NOT true. Calculate λ= of type-II error of the test for this λ is at most 0.1. so that the probability

We would like to test the following hypothesis to compare the variances of two normal populations. H:σ=σ We collect 3 random observations from each population as follows: Population1: X₁ =1,X₂ = 2,X3=3 Population2: Y= −2, Y₂ = 0, Y3 = 2 a) Test the above hypothesis using p-value. (Assume a=0.05) b) Suppose the null hypothesis is NOT true. Calculate λ= of type-II error of the test for this λ is at most 0.1. so that the probability

MATLAB: An Introduction with Applications
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 would like to test the following hypothesis to compare the variances of two normal populations. H:σ=σ We collect 3 random observations from each population as follows: Population1: X₁ =1,X₂ = 2,X3=3 Population2: Y= −2, Y₂ = 0, Y3 = 2 a) Test the above hypothesis using p-value. (Assume a=0.05) b) Suppose the null hypothesis is NOT true. Calculate λ= of type-II error of the test for this λ is at most 0.1. so that the probability
Transcribed Image Text:We would like to test the following hypothesis to compare the variances of two normal populations. H:σ=σ We collect 3 random observations from each population as follows: Population1: X₁ =1,X₂ = 2,X3=3 Population2: Y= −2, Y₂ = 0, Y3 = 2 a) Test the above hypothesis using p-value. (Assume a=0.05) b) Suppose the null hypothesis is NOT true. Calculate λ= of type-II error of the test for this λ is at most 0.1. so that the probability
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