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 = 278, SSA = 27, SSB = 24, SSAB = 174. 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 of Squares Degrees of Freedom Mean Square F p-value Factor A Factor B Interaction Error Total Test for any significant main effects and any interaction effect. Use ? = 0.05. Find the value of the test statistic for factor A. (Round your answer to two decimal places.) Test statistic=?? 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 ≤ ? = 0.05, factor A is not significant.- Because the p-value ≤ ? = 0.05, factor A is significant. -Because the p-value > ? = 0.05, factor A is significant. -Because the p-value > ? = 0.05, factor A is not significant. Find the value of the test statistic for factor B. (Round your answer to two decimal places.) Test statistic=?? 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 > ? = 0.05, factor B is not significant. -Because the p-value > ? = 0.05, factor B is significant. - Because the p-value ≤ ? = 0.05, factor B is significant. -Because the p-value ≤ ? = 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.) Test statistic=?? 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 ≤ ? = 0.05, the interaction between factors A and B is not significant. -Because the p-value > ? = 0.05, the interaction between factors A and B is significant. -Because the p-value ≤ ? = 0.05, the interaction between factors A and B is significant. -Because the p-value > ? = 0.05, the interaction between factors A and B is not significant.

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 = 278, SSA = 27, SSB = 24, SSAB = 174. 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 of Squares Degrees of Freedom Mean Square F p-value Factor A Factor B Interaction Error Total Test for any significant main effects and any interaction effect. Use ? = 0.05. Find the value of the test statistic for factor A. (Round your answer to two decimal places.) Test statistic=?? 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 ≤ ? = 0.05, factor A is not significant.- Because the p-value ≤ ? = 0.05, factor A is significant. -Because the p-value > ? = 0.05, factor A is significant. -Because the p-value > ? = 0.05, factor A is not significant. Find the value of the test statistic for factor B. (Round your answer to two decimal places.) Test statistic=?? 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 > ? = 0.05, factor B is not significant. -Because the p-value > ? = 0.05, factor B is significant. - Because the p-value ≤ ? = 0.05, factor B is significant. -Because the p-value ≤ ? = 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.) Test statistic=?? 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 ≤ ? = 0.05, the interaction between factors A and B is not significant. -Because the p-value > ? = 0.05, the interaction between factors A and B is significant. -Because the p-value ≤ ? = 0.05, the interaction between factors A and B is significant. -Because the p-value > ? = 0.05, the interaction between factors A and B is not significant.

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 8E: List the sample space of each experiment. Picking a one-digit number

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Related questions

Question

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Factor A
Factor B
Interaction
Error
Total

Test for any significant main effects and any interaction effect. Use ? = 0.05.

Find the value of the test statistic for factor A. (Round your answer to two decimal places.)

Test statistic=??

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 ≤ ? = 0.05, factor A is not significant.-

Because the p-value ≤ ? = 0.05, factor A is significant.

-Because the p-value > ? = 0.05, factor A is significant.

-Because the p-value > ? = 0.05, factor A is not significant.

Find the value of the test statistic for factor B. (Round your answer to two decimal places.)

Test statistic=??

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 > ? = 0.05, factor B is not significant.

-Because the p-value > ? = 0.05, factor B is significant.

- Because the p-value ≤ ? = 0.05, factor B is significant.

-Because the p-value ≤ ? = 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.)

Test statistic=??

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 ≤ ? = 0.05, the interaction between factors A and B is not significant.

-Because the p-value > ? = 0.05, the interaction between factors A and B is significant.

-Because the p-value ≤ ? = 0.05, the interaction between factors A and B is significant.

-Because the p-value > ? = 0.05, the interaction between factors A and B is not significant.

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