At a local community college,the head of the math department is interested in determining the effects of two factors on the final exam performance.The two factors are: (1)whether the student completed all the suggested exercises (yes or no),and (2)how many cups of coffee the student took the morning of the exam (0,1,or 2).Analysis of the data is summarized in the following ANOVA table:
Using $\alpha$ = .05,the conclusions are: _____________.
A) a significant effect of completing the exercises but not of drinking coffee and no significant interaction
B) a significant effect of drinking coffee but not of completing the exercises and no significant interaction
C) a significant effect of both completing the exercises and drinking coffee but no significant interaction
D) a significant effect of both completing the exercises and drinking coffee as well as a significant interaction
E) no significant effect of completing the exercises or drinking coffee and no significant interaction

Question

At a local community college,the head of the math department is interested in determining the effects of two factors on the final exam performance.The two factors are: (1)whether the student completed all the suggested exercises (yes or no),and (2)how many cups of coffee the student took the morning of the exam (0,1,or 2).Analysis of the data is summarized in the following ANOVA table:  
Using $\alpha$ = .05,the conclusions are: _____________.
A) a significant effect of completing the exercises but not of drinking coffee and no significant interaction 
B) a significant effect of drinking coffee but not of completing the exercises and no significant interaction 
C) a significant effect of both completing the exercises and drinking coffee but no significant interaction 
D) a significant effect of both completing the exercises and drinking coffee as well as a significant interaction 
E) no significant effect of completing the exercises or drinking coffee and no significant interaction

Quizplus · Accepted Answer

The ANOVA table shows significant main effects for both completing the exercises (Factor 1) and drinking coffee (Factor 2), as well as a significant interaction between the two factors. Therefore, both factors have an effect on final exam performance and the interaction between them should be further analyzed.

At a Local Community College,the Head of the Math Department α\alphaα

At a Local Community College,the Head of the Math Department $\alpha$