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Remember a while back we gave Odds of 740 to 1 that the next man to walk by the height machine would not be taller than 2.01 meters. We were betting that he would not exceed the 3 sigma Limit. What if we look at the next 2 men who walk by. It’s a safe bet
For the same Odds of 740:1, I’d have to use narrower 3 sigma (s) Limits. If we bet on the Average of the next 4 men, we’d have to use still narrower Limits? No! These Limits are NOT reduced in proportion to the number of men (the Sample Size). Limits for
In the case of our men, the Sigma of Individual Heights is 0.07 meters. For each Sample size we divide 0.07m by the Square Root of the Sample Size.
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