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.)

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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.
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.
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