Some sports arenas and ballparks are offering “all you can eat” sections where, for a higher ticket price, fans can feast on all the hot dogs and popcorn they want. (Alcohol and desserts are extra.) But, of course, the teams want to price those tickets appropriately. They want to design an experiment to determine how much fans are likely to eat in an “all you can eat” section and whether it’s more or less than they might ordinarily eat in similar regular seats.

a) Design an experiment that would require a two-sample t procedure for analysis.

b) Design an experiment that would require a paired t procedure for analysis.

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