Let X1, X2, X3, X4 be independent random variables that have normal distributions N(u; ,o?), i = 1, 2, 3, 4. A total of 12 observations were taken. a) State the model that can be used to determine whether the means are all equal. Identi- each term in the model and any necessary conditions. b) Copy and complete the following ANOVA table. Analysis of Variance Table Source of Variation DF SS MS F Pr ( >F) Treatment 628.38 15.535 0.0011 Error Total 11 C) Perform the ANOVA test at the 5% level of significance. Clearly state the hypotheses being tested and the conclusion of your test.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Let X1, X2, X3, X4 be independent random variables that have normal distributions
N(u; ,o?), i = 1, 2, 3, 4. A total of 12 observations were taken.
a) State the model that can be used to determine whether the means are all equal. Identi-
each term in the model and any necessary conditions.
b) Copy and complete the following ANOVA table.
Analysis of Variance Table
Source of Variation
DF
SS
MS
F
Pr ( >F)
Treatment
628.38
15.535
0.0011
Error
Total
11
C) Perform the ANOVA test at the 5% level of significance. Clearly state the hypotheses
being tested and the conclusion of your test.
Transcribed Image Text:Let X1, X2, X3, X4 be independent random variables that have normal distributions N(u; ,o?), i = 1, 2, 3, 4. A total of 12 observations were taken. a) State the model that can be used to determine whether the means are all equal. Identi- each term in the model and any necessary conditions. b) Copy and complete the following ANOVA table. Analysis of Variance Table Source of Variation DF SS MS F Pr ( >F) Treatment 628.38 15.535 0.0011 Error Total 11 C) Perform the ANOVA test at the 5% level of significance. Clearly state the hypotheses being tested and the conclusion of your test.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman