Managers of a firm are trying to determine which of three programs is the best T

Question

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. 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

there is a significant difference in sex, but interaction effect is not significant.

Source of Variation SS df MS F P-value F crit Factor A , Programme 31 3 10.33333 9.185185 0.028823 Factor B , Sex 11 1 11 9.777778 0.035289 Interaction 1.5 3 0.5 0.444444 0.734375 Error 4.5 4 1.125 Total 48 11

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