Sure, and you could even have many maximum sample variances prescribed in law for different N. Hell, you could even specify it in the form of a mathematical relation, and say that the sample mean has to limit to the nominal amount regardless of sample pattern. At that point, manufacturers would be forced to be at least as fair as regulators could measure, without assuming anything about how accurate their bag filling machines are or aren’t.
That’s more complicated, though, and I’m guessing they wrote in what seemed reasonable and good enough at the time. Just tightening up the percentage inaccuracy allowed for manufacture at scale to reflect technology might be good enough again, whenever they revisit these laws.
Now we’re doing statistics.
Sure, and you could even have many maximum sample variances prescribed in law for different N. Hell, you could even specify it in the form of a mathematical relation, and say that the sample mean has to limit to the nominal amount regardless of sample pattern. At that point, manufacturers would be forced to be at least as fair as regulators could measure, without assuming anything about how accurate their bag filling machines are or aren’t.
That’s more complicated, though, and I’m guessing they wrote in what seemed reasonable and good enough at the time. Just tightening up the percentage inaccuracy allowed for manufacture at scale to reflect technology might be good enough again, whenever they revisit these laws.