Question 2 0.5 points Save Answer Managers of a firm are trying to determine whi

Question

Question 2 0.5 points Save Answer Managers of a firm are trying to determine which of three programs is the best. They believe that the effectiveness of the programs may be influenced by sex and interaction. A factorial experiment was performed and you are given the following ANOVA table Source of Variation Factor A: Programs Factor B: Sex Interaction Error Total Sum of Squares 31 df Mean Square 4.5 48 4 What advice would you give managers about the influence of sex and interaction? Use a.05 level of significance There is a significant difference both in sex and interaction There is not a significant difference in sex, but interaction effect is significant. There is a significant difference in sex, but interaction effect is not significant. There is neither a significant difference in sex nor interaction effect. We cannot conclude the influence. More information is needed

Explanation / Answer

Solution:
Mean square can be calculated as =Sum of square/DF
Mean Square for Program A = 31/3 = 10.333
Mean square for Program B = 11/1 = 11
Mean square for interaction = 1.5/3 = 0.5
Mean square Error = 4.5/4 = 1.125
Fstat can be calculated as = Mean square/Mean square Error
Fstat for Program A = 10.333/1.125 = 9.1851
Fstat for Program B= 11/1.125 = 9.7777
Fstat for Interaction = 0.5/1.125 = 0.4444
So p-value for Sex at F = 9.7777 and Df for numerator =1 and DF for denomenator = 4 is 0.035 this is significant because it is less than 0.05
And p-value for interaction at F= 0.444, DF for numerator =3 and Df for numerator = 4 is 0.72, it is not significant as this is greater than 0.05.

so Its answer is C. that is there is significant difference in sex but interaction is not signicant. SO its answer is C.

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