I realize that an easy way to cheat is to answer (0 (appropriate unit), 3^^^3 (appropriate unit))for questions 1-9, and answer (pi^e, pi^e) for question 10. That seems to be the “wrong” way to go about this task.
I wanted to deliver, to the best of my current knowledge (without looking anything up), 5% and 95% bounds for the true value, for each item. Where my knowledge was more limited, that meant a wider bound, but that shouldn’t mean less effort to establish that bound, should it? That seems to be what you’re implying.
Obviously, we need to learn that narrower ranges are not better, but if we want 90% ranges, we should work to ensure that the ranges are as close to 90% as our knowledge allows, not 99% just because we’re reversing one kind of stupidity in order to achieve another.
I realize that an easy way to cheat is to answer (0 (appropriate unit), 3^^^3 (appropriate unit))for questions 1-9, and answer (pi^e, pi^e) for question 10. That seems to be the “wrong” way to go about this task.
I wanted to deliver, to the best of my current knowledge (without looking anything up), 5% and 95% bounds for the true value, for each item. Where my knowledge was more limited, that meant a wider bound, but that shouldn’t mean less effort to establish that bound, should it? That seems to be what you’re implying.
Obviously, we need to learn that narrower ranges are not better, but if we want 90% ranges, we should work to ensure that the ranges are as close to 90% as our knowledge allows, not 99% just because we’re reversing one kind of stupidity in order to achieve another.