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 3 139 86 75 Level 1 169 62 93 Factor A 121 131 120 Level 2 91 109 136 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. Because the p-value > a = 0.05, factor A is not significant. Because the p-value > a = 0.05, factor A is significant. Because the p-value < a = 0.05, factor A is significant. Because the p-value < 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. Because the p-value > a = 0.05, factor B is not significant. Because the p-value < a = 0.05, factor B is not significant. Because the p-value > a = 0.05, factor B is significant. O O

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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 < 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 not significant.
Because the p-value > 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 not significant.
O O O O
Transcribed Image Text: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 < 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 not significant. Because the p-value > 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 not significant. O O O O
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
139
86
75
Level 1
169
62
93
Factor A
121
131
120
Level 2
91
109
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.
Because the p-value > a =
0.05, factor A is not significant.
Because the p-value > a = 0.05, factor A is significant.
Because the p-value < a =
0.05, factor A is significant.
Because the p-value < 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.
Because the p-value > a = 0.05, factor B is not significant.
Because the p-value < a = 0.05, factor B is not significant.
Because the p-value > a =
0.05, factor B is significant.
O O O O
O O O O
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 3 139 86 75 Level 1 169 62 93 Factor A 121 131 120 Level 2 91 109 136 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. Because the p-value > a = 0.05, factor A is not significant. Because the p-value > a = 0.05, factor A is significant. Because the p-value < a = 0.05, factor A is significant. Because the p-value < 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. Because the p-value > a = 0.05, factor B is not significant. Because the p-value < a = 0.05, factor B is not significant. Because the p-value > a = 0.05, factor B is significant. O O O O O O O O
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