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 87 75 Level 1 168 63 93 Factor A 122 130 120 Level 2 92 108 136 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. O Because the p-value > a = 0.05, factor A is significant. O Because the p-value > a- 0.05, factor A is not significant. O Because the p-value sa = 0.05, factor A is significant. O Because the p-value s a = 0.05, factor A is not significant.

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
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
87
75
Level 1
168
63
93
Factor A
122
130
120
Level 2
92
108
136
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.
O Because the p-value > a = 0.05, factor A is significant.
O Because the p-value > a = 0.05, factor A is not significant.
O Because the p-value s a = 0.05, factor A is significant.
O 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.
O Because the p-value s a = 0.05, factor B is not significant.
O Because the p-value > a = 0.05, factor B is significant.
O Because the p-value > a = 0.05, factor B is not significant.
O Because the p-value s a = 0.05, factor B is 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.
O Because the p-value s a = 0.05, the interaction between factors A and B is significant.
O Because the p-value > a = 0.05, the interaction between factors A and B is significant.
O Because the p-value > a = 0.05, the interaction between factors A and B is not significant.
O Because the p-value s a = 0.05, the interaction between factors A and B is not significant.
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 87 75 Level 1 168 63 93 Factor A 122 130 120 Level 2 92 108 136 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. O Because the p-value > a = 0.05, factor A is significant. O Because the p-value > a = 0.05, factor A is not significant. O Because the p-value s a = 0.05, factor A is significant. O 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. O Because the p-value s a = 0.05, factor B is not significant. O Because the p-value > a = 0.05, factor B is significant. O Because the p-value > a = 0.05, factor B is not significant. O Because the p-value s a = 0.05, factor B is 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. O Because the p-value s a = 0.05, the interaction between factors A and B is significant. O Because the p-value > a = 0.05, the interaction between factors A and B is significant. O Because the p-value > a = 0.05, the interaction between factors A and B is not significant. O Because the p-value s a = 0.05, the interaction between factors A and B is not significant.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Anova and Design of Experiments
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.
Similar questions
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