@johncarlosbaez For a second I thought, "are we doing superluminal neutrinos *again*!?" But now I see this is just the previous instance I was aware of.
I was teaching a course in lab methods and data analysis at the time, and I used this as a running example of how to evaluate the agreement of experiment and theory, the role of systematic error, and the fact that you as a scientist should be the first and most dedicated skeptic of any apparently miraculous result you come up with.