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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,