A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data. Factor A Level 1 Level 2 Level 1 131 161 129 99 Factor B Level 2 94 70 123 101 Level 3 75 93 120 136 Test for any significant main effects and any interaction. Use α = 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 ≤ α = 0.05, factor A is not significant. O Because the p-value ≤ α = 0.05, factor A is 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 =
A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data. Factor A Level 1 Level 2 Level 1 131 161 129 99 Factor B Level 2 94 70 123 101 Level 3 75 93 120 136 Test for any significant main effects and any interaction. Use α = 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 ≤ α = 0.05, factor A is not significant. O Because the p-value ≤ α = 0.05, factor A is 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 =
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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Question
The interaction questions please (The last 3)
![A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data.
Factor A
Level 1
Level 2
Level 1
State your conclusion about factor A.
=
131
161
129
99
Factor B
Level 2
94
70
123
101
Level 3
75
93
120
Test for any significant main effects and any interaction. Use α = 0.05.
Find the value of the test statistic for factor A. (Round your answer to two decimal places.)
136
Find the p-value for factor A. (Round your answer to three decimal places.)
p-value =
Because the p-value > a = 0.05, factor A is significant.
Because the p-value > α = 0.05, factor A is not significant.
Because the p-value ≤ α = 0.05, factor A is not significant.
Because the p-value < α = 0.05, factor A is 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ad87420-52d2-4e34-815e-eb9bcb5c95c0%2F095908fa-1010-4f0e-b853-939580284db7%2Fxvhf27g_processed.png&w=3840&q=75)
Transcribed Image Text:A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data.
Factor A
Level 1
Level 2
Level 1
State your conclusion about factor A.
=
131
161
129
99
Factor B
Level 2
94
70
123
101
Level 3
75
93
120
Test for any significant main effects and any interaction. Use α = 0.05.
Find the value of the test statistic for factor A. (Round your answer to two decimal places.)
136
Find the p-value for factor A. (Round your answer to three decimal places.)
p-value =
Because the p-value > a = 0.05, factor A is significant.
Because the p-value > α = 0.05, factor A is not significant.
Because the p-value ≤ α = 0.05, factor A is not significant.
Because the p-value < α = 0.05, factor A is 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
![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 ≤ α = 0.05, factor B is not significant.
Because the p-value > α = : 0.05, factor B is not significant.
Because the p-value > a = 0.05, factor B is significant.
Because the p-value < α = 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.
Because the p-value ≤ α = 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 not significant.
Because the p-value > α = 0.05, the interaction between factors A and B is significant.
Because the p-value ≤ α = 0.05, the interaction between factors A and B is not significant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ad87420-52d2-4e34-815e-eb9bcb5c95c0%2F095908fa-1010-4f0e-b853-939580284db7%2Fy9nv33i_processed.png&w=3840&q=75)
Transcribed Image Text: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 ≤ α = 0.05, factor B is not significant.
Because the p-value > α = : 0.05, factor B is not significant.
Because the p-value > a = 0.05, factor B is significant.
Because the p-value < α = 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.
Because the p-value ≤ α = 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 not significant.
Because the p-value > α = 0.05, the interaction between factors A and B is significant.
Because the p-value ≤ α = 0.05, the interaction between factors A and B is not significant.
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