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    $\begingroup$ That blog sounds like a straw man argument. It appears to confound a philosophy of probability with some kind of (nonexistent) inherent limitation in the capacity to create probability models. I do not recognize any form of classical statistical procedures or methodology in that characterization. Nevertheless, I think your final conclusion is a good one--but the language it uses, by not making it clear that the bet concerns the CI and not the mean, risks creating a form of confusion that this question is intended to address. $\endgroup$ Commented Nov 30, 2015 at 23:52
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    $\begingroup$ One way I see often used is to emphasize that the CI is the result of a procedure. What I like about your final statement is that it can readily be recast in such a form, as in "You're no more wrong to bet at 95:5 odds that your 95% confidence interval has covered the true mean, than you are to bet on your friend's coin flip at 50:50 odds." $\endgroup$ Commented Dec 1, 2015 at 14:53
  • $\begingroup$ OK, changed it. $\endgroup$ Commented Dec 1, 2015 at 15:45