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Q4. To study the batteries life spans, 8, 7 and 8 samples are taken from batteries of brand A,B,C, respectively. The sample sizes and sample totals of each brand are summarized in the following table. Given Ex = T, + T2 + T3 and Ex² = 27 (Ex), perform an analysis of variance at the 0.05 level of significance and determine whether the mean life spans differ significantly. Brand A Brand B Brand C Sample sizes nz = 7 Sample totals T, = 210 + § | T2 = 180 + | T3 = 130 + w N1 = 8 n3 = 8 %3D %3D

Q4. To study the batteries life spans, 8, 7 and 8 samples are taken from batteries of brand A,B,C, respectively. The sample sizes and sample totals of each brand are summarized in the following table. Given Ex = T, + T2 + T3 and Ex² = 27 (Ex), perform an analysis of variance at the 0.05 level of significance and determine whether the mean life spans differ significantly. Brand A Brand B Brand C Sample sizes nz = 7 Sample totals T, = 210 + § | T2 = 180 + | T3 = 130 + w N1 = 8 n3 = 8 %3D %3D

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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ϕ = 6, ξ = 0, ω = 7

Q4. To study the batteries life spans, 8, 7 and 8 samples are taken from batteries of brand A, B,C, respectively. The sample sizes and sample totals of each brand are summarized in the following table. Given Ex = T,+T, +T3 and Ex² = 27 (Ex), perform an analysis of variance at the 0.05 level of significance and determine whether the mean life spans differ significantly. Brand A Brand B Brand C Sample sizes n2 = 7 Sample totals T, = 210 + 5| T, = 180 + ø T3 = 130 + w n1 = 8 n3 = 8 %3D %3D %3D
Transcribed Image Text:Q4. To study the batteries life spans, 8, 7 and 8 samples are taken from batteries of brand A, B,C, respectively. The sample sizes and sample totals of each brand are summarized in the following table. Given Ex = T,+T, +T3 and Ex² = 27 (Ex), perform an analysis of variance at the 0.05 level of significance and determine whether the mean life spans differ significantly. Brand A Brand B Brand C Sample sizes n2 = 7 Sample totals T, = 210 + 5| T, = 180 + ø T3 = 130 + w n1 = 8 n3 = 8 %3D %3D %3D
Expert Solution
ANOVA :

The "ANALYSIS OF VARIANCE" is a well known statistical method to test the significant difference between more than three group means. The ANOVA method works based on the F distribution and its test statisitc is given by

                                       F = MSbetween groups/ MSwithin groups ~ df( K-1 , N-K)

 

    

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