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1. Let M1, M2, M3 be the means of three normal distributions with a common, but unknown, variance, 0². In order to test, at the a=.10 significance level, the hypothesis Ho : µ1 H₁ μ₁ = μ2 = μ3, we take a : µ1 random sample of size four from each of these distributions. Determine whether Ho should be accepted or rejected, if the following values are the

1. Let M1, M2, M3 be the means of three normal distributions with a common, but unknown, variance, 0². In order to test, at the a=.10 significance level, the hypothesis Ho : µ1 H₁ μ₁ = μ2 = μ3, we take a : µ1 random sample of size four from each of these distributions. Determine whether Ho should be accepted or rejected, if the following values are the

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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**Problem Statement:** 1. Let \( \mu_1, \mu_2, \mu_3 \) be the means of three normal distributions with a common, but unknown, variance, \( \sigma^2 \). In order to test, at the \( \alpha = 0.10 \) significance level, the hypothesis \( H_0 : \mu_1 = \mu_2 = \mu_3 \), we take a random sample of size four from each of these distributions. Determine whether \( H_0 \) should be accepted or rejected if the following values are the observed sample values: **Observed Sample Values:** - **Distribution 1:** 4, 7, 10, 7 - **Distribution 2:** 3, 5, 9, 6 - **Distribution 3:** 9, 13, 11, 7 Show all your work.
Transcribed Image Text:**Problem Statement:** 1. Let \( \mu_1, \mu_2, \mu_3 \) be the means of three normal distributions with a common, but unknown, variance, \( \sigma^2 \). In order to test, at the \( \alpha = 0.10 \) significance level, the hypothesis \( H_0 : \mu_1 = \mu_2 = \mu_3 \), we take a random sample of size four from each of these distributions. Determine whether \( H_0 \) should be accepted or rejected if the following values are the observed sample values: **Observed Sample Values:** - **Distribution 1:** 4, 7, 10, 7 - **Distribution 2:** 3, 5, 9, 6 - **Distribution 3:** 9, 13, 11, 7 Show all your work.
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