You are interested in seeing if weight loss depends on the interaction between 3
ID: 3235164 • Letter: Y
Question
You are interested in seeing if weight loss depends on the interaction between 3 diet plans and 2 exercise plans. Here are the cell means for weight loss in pounds: Diet Plan 1 Diet Plan 2 Diet Plan 3 Exercise 1 20 30 30 Exercise 2 25 40 55 Assuming the study has high power and any difference is significant, which F-statistics would be significant? Drawing an interaction plot and calculating marginal means, may be helpful.
Main effect of exercise is the only significant f-statistic.
Main effect of diet is the only significant f-statistic.
Main effects of both diet and exercise are significant. The interaction is not significant.
Main effects of both diet and exercise, and the interaction is significant.
Only the interaction is significant.
The main effect of diet and the interaction is significant. The main effect of exercise is not significant.
The main effect of exercise and the interaction is significant. The main effect of diet is not significant.
Main effect of diet is the only significant f-statistic.
Main effects of both diet and exercise are significant. The interaction is not significant.
Main effects of both diet and exercise, and the interaction is significant.
Only the interaction is significant.
The main effect of diet and the interaction is significant. The main effect of exercise is not significant.
The main effect of exercise and the interaction is significant. The main effect of diet is not significant.
Explanation / Answer
Correct Answer: option (C) Main effects of both diet and exercise, and the interaction is significant.
since
Here the mean difference of exercises are not equal so it is significant
the mean difference of diets are not equal so it is signficant
Exercise 1 and Excersie 2 are not parellel line on the graph so there exist interaction between them
Diet A Diet B Diet C Means Exercise 1 20 30 30 26.66667 2 25 40 55 40 Means 22.5 35 42.5Related Questions
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