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small wording

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jonaslandsgesell committed Sep 10, 2019
1 parent 573602d commit 12cb87c7b4e7fc7195e9217f45830d876063ce0d
Showing with 1 addition and 1 deletion.
  1. +1 −1 doc/tutorials/12-constant_pH/12-constant_pH.ipynb
@@ -212,7 +212,7 @@
"but they do not have the same probability distribution as $X$. They are called _statistics_ because they are calculated\n",
"from a sample of the population, and can be used as _estimators_ of the moments $\\mu_\\alpha$ and $\\sigma_\\alpha$.\n",
"\n",
"According to the Central Limit Theorem (CLT), the probability distribution $\\sqrt{n}(\\bar{\\alpha} - \\mu_\\alpha)$ for large $n$ converges to the probability distribution $\\mathcal{N}(0, \\sigma_n^2)$. This statement can be rewritten as:\n",
"According to the Central Limit Theorem (CLT), the random variable $\\sqrt{n}(\\bar{\\alpha} - \\mu_\\alpha)$ has a probability distribution which converges for large sample sizes $n$ to the probability distribution $\\mathcal{N}(0, \\sigma_n^2)$. This statement can be rewritten as:\n",
"\n",
"\\begin{equation}\n",
" z = \\frac{\\bar{\\alpha} - \\mu_\\alpha}{\\sigma_n} \\sqrt{n} \\sim \\mathcal{N}(0,1)\n",

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