Most Coaches regardless of the sport say the same thing: "Make sure to get a good night's sleep. We have a big game tomorrow!" To determine if sleep deprivation affects reaction time in athletes, researches recruited 100 varsity athletes from a university. At the beginning of the study, all the athletes took a test to measure their reaction time. For the next 24 hours, the athletes were kept in an empty dorm. Half the athletes were randomly assigned to rooms with beds and allowed to sleep as much as they wanted. The other half were kept in a large room and not allowed to sleep for the entire 24 hours. At the end of the 24 hours, all 100 athletes were given the same reaction time test, and the difference in reaction time was recorded for each athlete.

(a) Identify the explanatory and response variables in this experiment. Then classify each Variable as categorical or quantitative.

(b) Explain why it was necessary to have some athletes get regular sleep.

(c) Explain how the researchers could carry out the random assignment.

(d) Explain the purpose of random assignment in this experiment.