Suppose you would like to evaluate whether there is a causal impact of high school sports participation on one's likelihood of graduating from college. This is a tricky question to evaluate because there is likely selection into high school sports participation. Now suppose the state of Missouri has recently passed a legislation mandating that only high school stu dents above a certain height (which differs by gender) will be allowed to participate in school sports. No student who is shorter than the genderspecic mandated height is allowed to play on these teams. You imagine that this might be an ideal application for a regression discontinuity design. After crunching some numbers, you nd that boys above the cutoff are 80% more likely to play on the team than those who are below the height cutoff, while girls above the cutoff are 65% more likely to play on one of the teams. a) Identify the running, treatment, and outcome variables in this RDD. b) ) ) c d What can you conclude from this analysis about the college graduation prospects of students who are very short or very tall relative to the cutoff? Is this a fuzzy or sharp RDD? How can you tell? Do you think that this RD is subject to manipulation? Why or why not