i. Complete the ANOVA table and show your working. ii. Based on your answer in (i), can you conclude that different factories have any significant effect on the strength of polypipes at 1% level of significance? iii. Suppose more samples are added to the study and the p-value is found to be 0.1235. Will you change the conclusion you have obtained in part (ii)? Justify your answer and state your new conclusion, if any.

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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Question
solve by using mathematical equations and formulas only
Ano Single Pack
Groups
Factory A
Factory B
Factory C
Factory D
Count Sum
3
4
5
5
Average Variance
159.0745
86 28.0667
140 35.0000
180
36.0000
168
37.0000
ANOVA
Source of variation
Between Groups
Within Groups
Total
i. Complete the ANOVA table and show your working.
SS ds MS
596.9412
40 6467
20.5000
40.3000
F
E
ii. Based on your answer in (i), can you conclude that different factories have
any significant effect on the strength of polypipes at 1% level of significance?
iii. Suppose more samples are added to the study and the p-value is found to
be 0.1235. Will you change the conclusion you have obtained in part (iii)?
Justify your answer and state your new conclusion, if any.
Transcribed Image Text:Ano Single Pack Groups Factory A Factory B Factory C Factory D Count Sum 3 4 5 5 Average Variance 159.0745 86 28.0667 140 35.0000 180 36.0000 168 37.0000 ANOVA Source of variation Between Groups Within Groups Total i. Complete the ANOVA table and show your working. SS ds MS 596.9412 40 6467 20.5000 40.3000 F E ii. Based on your answer in (i), can you conclude that different factories have any significant effect on the strength of polypipes at 1% level of significance? iii. Suppose more samples are added to the study and the p-value is found to be 0.1235. Will you change the conclusion you have obtained in part (iii)? Justify your answer and state your new conclusion, if any.
b) An experiment is carried out to determine the strength of polypipes produced
in four separate factories. The following table shows some of the outcomes of a
one-way ANOVA analysis:
Transcribed Image Text:b) An experiment is carried out to determine the strength of polypipes produced in four separate factories. The following table shows some of the outcomes of a one-way ANOVA analysis:
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