Answered: Given the following ANOVA table for…

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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Given the following ANOVA table for three treatments each with six observations:

Source	Sum of Squares	df	Mean square
Treatment	1116
Error	1068
Total	2184

a) What are the degrees of freedom for the treatment and error sources of variation?

A) 3 and 18
B) 2 and 17
C) 3 and 15
D) 2 and 15

b) What is the critical value of F at the 5% level of significance?

A) 3.29
B) 3.68
C) 3.59
D) 3.20

c) What is the treatment mean square?

A) 71.2
B) 71.4
C) 558
D) 534

d) What is the computed value of F?

A) 7.48
B) 7.84
C) 8.84
D) 8.48

e) What is the decision regarding the null hypothesis at the 5% significance level?

A) Reject H0—there is a difference in treatment means.
B) Fail to reject H0—there is a difference in treatment means.
C) Reject H0—there is a difference in errors.
D) Fail to reject H0—there is a difference in errors.

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