Suppose that you want to determine whether there is a difference between the distances traveled by an air-filled football and by a helium-filled football, and that you have managed to recruit 12 punters of varying abilities to participate in the study.
a. Describe, in detail, the design of an experiment that does not utilize pairing.
b. Next, describe, in detail, the design of an experiment that does utilize pairing.
c. Which study design (a) or (b) do you think is a better study design for the purpose of this study or does it not matter? Explain your reasoning.