Some students do homework with music playing in their headphones. (Anyone come to mind?) Some researchers want to see if people can work as effectively with as without distraction. The researchers will time some volunteers to see how long it takes them to complete some relatively easy crossword puzzles. During some of the trials, the room will be quiet; during other trials in the same room, subjects will wear headphones and listen to a Pandora channel.
a) Design an experiment that will require a two-sample t procedure to analyze the results.
b) Design an experiment that will require a matched-pairs t procedure to analyze the results.
c) Which experiment would you consider the stronger design? Why?