1.think about the mixed design idea (at least one independent variable is independent while the other is correlated). give me two benefits of this design (compared to a design that has only independently assigned independent variables or only correlated variables).2.you now know we consider both main effects and interactions in factorial designs. i hope that it is apparent that we also have a hypothesis (and null hypothesis) for each main effect as well as the interaction. think about a 2 x 2 design. for this pause problem, first describe any study (made up or a real one) that has a 2 x 2 design (just don’t use the one from your and then write out the three null hypotheses (one for factor a, one for factor b, and the interaction of factors a and b!