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 = 286, SSA = 26, SSB = 24,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.)SourceSumof Variation of SquaresFactor AFactor BInteractionErrorTotalONLDegreesof FreedomMeanSquareFp-valueTest for any significant main effects and any interaction effect. 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.Because the p-value > a = 0.05, factor A is not significant.Because the p-value ≤ α = 0.05, factor A is significant.Because the p-value > a = 0.05, factor A is significant.Because the p-value ≤ α = 0.05, factor A is not significant. State your conclusion about factor A.Because the p-value > a = 0.05, factor A is not significant.Because the p-value ≤ α = 0.05, factor A is significant.Because the p-value > α = 0.05, factor A is significant.Because the p-value ≤ α = 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 not significant.Because the p-value ≤ α = 0.05, factor B is significant.Because the p-value ≤ α = 0.05, factor B is not 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-valueState 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 not significant.Because the p-value < α = 0.05, the interaction between factors A and B is significant.

Answered: The calculations for a factorial…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An article reported the results of a peer tutoring program to help children learn to read. In the experiment, the children were randomly divided into two groups: the experimental group received peer tutoring along with regular instruction, and the control group received regular instruction with no peer tutoring. There were n1 = n2 = 30 children in each group. The Gates-MacGintie Reading Test was given to both groups before instruction began. For the experimental group, the mean score on the vocabulary portion of the test was x1 = 344.5, with sample standard deviation s1 = 49.7. For the control group, the mean score on the same test was x2 = 353.8, with sample standard deviation s2 = 50.1. Use a 5% level of significance to test the hypothesis that there was no difference in the vocabulary scores of the two groups before the instruction began. (a) What is the level of significance?State the null and alternate hypotheses. H0: ?1 = ?2; H1: ?1 ≠ ?2H0: ?1 = ?2; H1: ?1 < ?2 H0: ?1 =…
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An article reported the results of a peer tutoring program to help children learn to read. In the experiment, the children were randomly divided into two groups: the experimental group received peer tutoring along with regular instruction, and the control group received regular instruction with no peer tutoring. There were n1 = n2 = 36 children in each group. The Gates-MacGintie Reading Test was given to both groups before instruction began. For the experimental group, the mean score on the vocabulary portion of the test was x1 = 344.5, with sample standard deviation s1 = 45.5. For the control group, the mean score on the same test was x2 = 334.3, with sample standard deviation s2 = 48.5. Use a 10% level of significance to test the hypothesis that there was no difference in the vocabulary scores of the two groups before the instruction began. (a) What is the level of significance?State the null and alternate hypotheses. H0: ?1 = ?2; H1: ?1 > ?2H0: ?1 = ?2; H1: ?1 < ?2 H0: ?1 ≠…
An elementary school teacher is interested in knowing if there is a significant difference in the average reading speed of fifth-grade boys and girls. She randomly selects 36 fifth grades boys and 36 fifth grade girls for the study. Each student is given several pages of the same book to read and the time it takes them to complete the reading is recorded in minutes. Boys Girls Sample Size 36 36 Sample Mean reading speed (in minutes) 11 12 Population Variance 3 2 The p-value is a. 0.156 b. 0.0037 c. 0.336 d. 0.238
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Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
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 = 282, SSA = 27, SSB = 21, SSAB = 175. 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 Sum Degrees of Freedom Mean F p-value of Variation 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 s a = 0.05, factor A is significant. 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 sa = 0.05, factor A is not significant. Find…
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.) Sourceof Variation Sumof Squares Degreesof Freedom MeanSquare 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,…
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The caluations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulting in the following data: SST = 276, SSA=23, SSB = 25, SSAB =170. Set up the ANOVA table and test for significance using a=0.5. Show entries to 2 decimals, if necessary. If the answer is zeeo enter 0. Factor A? Factor B? Interaction? Error? Total? Thank you
A sports researcher is interested in seeing if sports teams from the West Coast, Midwest, and East Coast fare differently in terms of the mean number of championships that they win. Each number below represents an individual observed sports team (X) that the researcher sampled. West Coast Midwest East Coast 7 2 11 3 4 9 Mwest = Mmid = Meast = nwest = nmid = neast = N = GM = Perform a one-way ANOVA to determine if there is a significant difference between regions in terms of the number of championships that teams win. 1. State the Main and Null Hypotheses. Assume alpha = .05 2. Find the critical F…

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