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Chapter 11 Homework KQuestion 6 (of 6) 10.00 points Oxnard Petro, Ltd, has three interdisciplinary project development teams that function on an ongoing basis Team members rotate from time to time Every 4 months (three times a year) each department head rates the performance of each project team (using a 0 to 100 scale, where 100 is the best rating). Are the main effects significant? Is there,an interaction? 83 84 89 83 80 80 2007 84 87 97 2009 84 75 96 2011 92 80 98 80 87 (a-1) Choose the correct row-effect hypotheses year means differ year means are the same Hi All the Aj are equal to zero year means are the same year means differ Hy Not all the Aj are equal to zero O Type here to search
(b) Fill in the missing data (Round your Table of Means values to 1 decimal place, SS and F values to 2 decimal places, MS values to 3 decimal places, and p-values to 4 decimal places.) Table of Means Factor 2 (Department) Factor 1 (Year) 2007 2009 2011 Finance 85.3 81.3 88.33 82.33 7.6 80.3 89.3 00.3 90.1 Total Factor 1 (Year) 224.7407 4516296 28 0925 2258148 1.3744 11.0477 2792 0009 Interaction Error 327.0370 20.439 1003 4074 20.4398 (c) Using a 0 05·choose the correct statement O The man effects of department and year are significant, but there is not a significant interaction . The main eflect of dopartment is significant, however,there is no significant effect from year or effect nteraction between department and year O Type here to search 귀
math   Statistics-And-Probability   
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To find the solution to the given problem we perform a two factor Annova test The two factors are Years & Department The data is as shown the table below Department Year Marketing Engineering Finance 83 84 89 83 84 87 97 98 96 2007 84 75 79 79 92 2011 87 82 98 The means are as follows Means Marketi Engineering Finance 2007 85.3333333 82.3333333 89.3333333 2009 81.3333333 77.6666667 90.3333333 2011 86.3333333 80.3333333 In excel the formula used to compute mena- average( d7:d9)The Annova test result ANOVA ce of VariatSS Year MS P-value F crit 224.740741 Department 451.62963 327.037037 8 28.0925926 1.37440544 0.27927926 2.59109618 2 225.814815 11.0477916 0.0009682 3.63372347 Error 16 20.4398148 Tota 1003.40741 26 There is no interaction between Year & Departments Also form the Anova table we see that Year as a factor is not significant at 95% significance level. End of Solution!!

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