Given a binomial distribution with n = 8 and p = 0.40, obtain the standard deviation.

Ans. #1

B

Ans. #2

If there is no interaction between two factors (A and B), then the levels of one factor will have uniformly higher average values across all levels of the second factor. However, if interaction exists between the factors, we would see the means for some levels of one factor would be higher when associated with certain levels of the second factor and lower for other levels of the second factor. In general, interaction occurs if the differences in the averages of the response variable for the various levels of one factor, say Factor A, are not the same for each level of the other factor, say Factor B. The general idea is that interaction between two factors means that the effect due to one of them is not uniform across all levels of the other factor.

Ans. #3

B

Ans. #4

When there is a significant interaction between the factors it means the effect of each factor differs based on the level of the other factor. For example, when factor A is low, increasing factor B may cause the response variable to increase. But when factor A is high, factor B may have the opposite effect where the response variable decreases when factor B is increased. For this reason the main effects of each individual factor cannot necessarily be interpreted from their results in this particular ANOVA table. A follow up study should be conducted where a one-way ANOVA is conducted for a fixed level of one factor while the other factor is varied to investigate the effect of a particular factor at a fixed level of the other.

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