From ed2590c084eee3ebe764f1261e4ab98e4a983ccc Mon Sep 17 00:00:00 2001 From: Stephen Fenech Date: Sat, 8 Mar 2014 20:01:25 +0200 Subject: [PATCH] Shouldn't it be "should also be uniformly spread over 100 to 1500" and not "100 to 4000"? --- Chapter4_TheGreatestTheoremNeverTold/LawOfLargeNumbers.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Chapter4_TheGreatestTheoremNeverTold/LawOfLargeNumbers.ipynb b/Chapter4_TheGreatestTheoremNeverTold/LawOfLargeNumbers.ipynb index 6a5149f6..8ac103cd 100644 --- a/Chapter4_TheGreatestTheoremNeverTold/LawOfLargeNumbers.ipynb +++ b/Chapter4_TheGreatestTheoremNeverTold/LawOfLargeNumbers.ipynb @@ -353,7 +353,7 @@ "source": [ "What do we observe? *Without accounting for population sizes* we run the risk of making an enormous inference error: if we ignored population size, we would say that the county with the shortest and tallest individuals have been correctly circled. But this inference is wrong for the following reason. These two counties do *not* necessarily have the most extreme heights. The error results from the calculated average of smaller populations not being a good reflection of the true expected value of the population (which in truth should be $\\mu =150$). The sample size/population size/$N$, whatever you wish to call it, is simply too small to invoke the Law of Large Numbers effectively. \n", "\n", - "We provide more damning evidence against this inference. Recall the population numbers were uniformly distributed over 100 to 1500. Our intuition should tell us that the counties with the most extreme population heights should also be uniformly spread over 100 to 4000, and certainly independent of the county's population. Not so. Below are the population sizes of the counties with the most extreme heights." + "We provide more damning evidence against this inference. Recall the population numbers were uniformly distributed over 100 to 1500. Our intuition should tell us that the counties with the most extreme population heights should also be uniformly spread over 100 to 1500, and certainly independent of the county's population. Not so. Below are the population sizes of the counties with the most extreme heights." ] }, {