The following data are from a hypothetical experiment in which independent variable A is some prior knowledge of statistics (where A 1 = has prior knowledge, A 2 = does not have prior knowledge) and...

The following data are from a hypothetical experiment in which independent variable A is some prior knowledge of statistics (where A₁
= has prior knowledge, A₂
= does not have prior knowledge) and independent variable B is gender (where B₁
= females, B₂
= males). Twenty males are randomly assigned to the two conditions in variable A, and 20 females also are randomly assigned to the two conditions in variable A. There are 10 individuals in each cell of the table below, which shows the cell means. Graph (i.e., plot) the cell means from following data. Assume that any differences in the means (for main effects or interaction effect) are statistically significant.

a. Are there any main effects present? If yes, what main effect(s) is/are present?

b. Is there a two-way interaction between independent variables A and B? If yes, what does this interaction mean (i.e., interpret the interaction).