The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 280, SSA = 26, SS8 = 21, SSAB = 178. Set up the ANOVA table. (Round your values for mean squares and F to two decimal places, and your p-values to three decimal places.) Source of Variation Sum Degrees of Freedom Mean P-value of Squares Square Factor A Factor B Interaction Error Total Test for any significant main effects and any interaction effect. 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 not significant. O Because the p-value > a 0.05, factor A is significant. O Because the p-value sa 0.05, factor A is significant. O Because the p-value sa = 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 sa 0.05, factor B is not significant. O Because the p-value sa= 0.05, factor B is 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. Find the value of the test statistic for the interaction between factors A and B. (Round your answer to two decimal places.)
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 280, SSA = 26, SS8 = 21, SSAB = 178. Set up the ANOVA table. (Round your values for mean squares and F to two decimal places, and your p-values to three decimal places.) Source of Variation Sum Degrees of Freedom Mean P-value of Squares Square Factor A Factor B Interaction Error Total Test for any significant main effects and any interaction effect. 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 not significant. O Because the p-value > a 0.05, factor A is significant. O Because the p-value sa 0.05, factor A is significant. O Because the p-value sa = 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 sa 0.05, factor B is not significant. O Because the p-value sa= 0.05, factor B is 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. Find the value of the test statistic for the interaction between factors A and B. (Round your answer to two decimal places.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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