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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 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 =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 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
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.
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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