A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data. Factor B Level 1 Level 2 Level 3 138 90 72 Level 1 168 66 90 Factor A 122 127 123 Level 2 92 105 139 Test for any significant main effects and any interaction. Use a = 0.05. Find the value of the test statistic for factor A. (Round your answer to two decimal places.) Find the p-value for factor A. (Round your answer to three decimal places.)
A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data. Factor B Level 1 Level 2 Level 3 138 90 72 Level 1 168 66 90 Factor A 122 127 123 Level 2 92 105 139 Test for any significant main effects and any interaction. Use a = 0.05. Find the value of the test statistic for factor A. (Round your answer to two decimal places.) Find the p-value for factor A. (Round your answer to three decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%

Transcribed Image Text:A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data.
Factor B
Level 1
Level 2
Level 3
138
90
72
Level 1
168
66
90
Factor A
122
127
123
Level 2
92
105
139
Test for any significant main effects and any interaction. Use a = 0.05.
Find the value of the test statistic for factor A. (Round your answer to two decimal places.)
Find the p-value for factor A. (Round your answer to three decimal places.)
p-value =
State your conclusion about factor A.
Because the p-value > a = 0.05, factor A is significant.
%3D
Because the p-value sa = 0.05, factor A is significant.
Because the p-value > a = 0.05, factor A is not significant.
Because the p-value s a = 0.05, factor A is not significant.
Find the value of the test statistic for factor B. (Round your answer to two decimal places.)
Find the p-value for factor B. (Round your answer to three decimal places.)
p-value =
State your conclusion about factor B.
Because the p-value > a = 0.05, factor B is significant.
%3D
Because the p-value sa = 0.05, factor B is significant.
Because the p-value sa = 0.05, factor B is not significant.
Because the p-value > a = 0.05, factor B is not significant.
Find the value of the test statistic for the interaction between factors A and B. (Round your answer to two decimal places.)
Find the p-value for the interaction between factors A and B. (Round your answer to three decimal places.)
p-value =|
State your conclusion about the interaction between factors A and B.
Because the p-value s a = 0.05, the interaction between factors A and B is significant.
Because the p-value > a = 0.05, the interaction between factors A and B is significant.
Because the p-value s a = 0.05, the interaction between factors A and B is not significant.
Because the p-value > a = 0.05, the interaction between factors A and
is not significant.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman