I think that's a little complicated I'm reminded of my um uh graduate advisor Gary Becker who was a freshman at Princeton in Tennessee tough graduate. He wanted to be a math major and after his uh as a Princeton undergrad too and thought maybe math yeah but it turns out his roommate did a lot better than he did on an exam they took together. It backfired when Scott Corel tried to engineer better outcomes for students at West Point by actually assigning roommates strategically so he had this result that random assignment to a roommate who'd done better on their verbal SATs seem to improve your performance.

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