A friend of mine shared this article from the professional literature, dryly commenting that he wishes that he had thought of this idea. Medical lingo aside, this is essentially a simple example of a two-sample t-test.
I'm a Professor of Mathematics and a University Distinguished Teaching Professor at the University of North Texas. For eight years, I was co-director of Teach North Texas, UNT's program for preparing secondary teachers of mathematics and science.
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Mean Green Math 