(4 points (bonus)) Consider the relationship between Sex and Discount.(Marks will only be awarded for carefully thought through explanations that invoke ADM2303 termi- nology, and no credit will be awarded for pursuing analysis that goes beyond ADM2303 content.)

(a) Examine this relationship using a Box and whisker plot, label appropriately and comment upon what you see.

(b) Restricting your attention to the variables in the PriceNegPow data-frame, consider possible explanations for the revealed relationship. Propose two alternative expla- nations for how such a relationship might arise (hint: recall our discussion of the example entailing physicians per capita as an explanatory variable.)