Are the following statements true, false, or uncertain? In each case, back up your answer with a brief, but precise explanation.

(a) The Kuznets ratios satisfy the Dalton transfer principle.

(b) If the Lorenz curve of two situations do not cross, the Gini coefficient and the coefficient of variation cannot disagree.

(c) If a relatively poor person loses income to a relatively rich person, the mean absolute deviation must rise.

(d) The Lorenz curve must necessarily lie in the lower triangle of the diagram, bounded by the 45° line at the top and the axes at the bottom.

(e) The ethical principles of inequality measurement — anonymity, population, relative income, and transfers — are enough to compare any two income distributions in terms of relative inequality.

(f) If everybody’s income increases by a constant dollar amount, inequality must fall.