[quote name=\'dale_grass\' post=\'192268\' date=\'Jul 27 2008, 05:41 PM\']
The game (as pointed out earlier) is nothing more that guessing the price of the prize. Getting the prize/check combo into the range is a formality and the check amount stems directly from the contestant's guess. So, it boils down to the contestant guessing the price of the prize within $1000 without going over. As the price of the prize increases, that window becomes relatively smaller (see above posts).
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Right, I understood you completely in your first post. I find myself in agreement with Chris and others that we did not experience a massive adjustment in where the range falls. If we had, this relative margin of error you described might make a difference. With an increase of $2,000 on both the high and low ends, I don't think there will be a statistically significant difference to the overall results. Again, I'd love to see a full run-down on prior game stats for comparison.
Put another way, let's say I'm doing research on European voting patterns pre-1980, and I include all democracies west of the Iron Curtain. Then I do a follow-up a few years later that takes into account that Spain and Portugal are no longer dictatorships and that includes all other countries I used before. There would be an increase in the number of cases being studied, but the odds of my overall results changing from before is extremely low. I raise this because this has been done before.
Back to the Check Game, I'm certainly not attacking the math proper, but rather the statistical implications, as you invited earlier. PYLdude did not state his intentions in the way that he wanted the rest of the board to understand them, and then he got all defensive when we tried to let him know that the way he put it was both confusing at best and off-base at worst. I'm not going play board mod here, but I do hope he learns from this and won't repeat it.