1. A chemist is interested in the effects of ?ve different catalysts (A, B, C, D, E) on the reaction time of a chemical process. There are ?ve batches of new material (1, 2, 3, 4, 5). She decides to study the effect of each catalyst on each material for 5 days (1, 2, 3, 4, 5). Construct a Latin square design for this experiment.
2. Suppose a dating service wants to schedule dates for four women, Anna, Carol, Judy, and Nancy, with Ed, John, Marcus, and Richard on Thursday, Friday, Saturday, and Sunday in such a way that each man dates each woman in the 4 days. Create a Latin-square design displaying a schedule that the dating service could follow.