From: Andrew Lorimer <andrew@lorimer.id.au>
Date: Sat, 24 Aug 2019 04:34:13 +0000 (+1000)
Subject: [spec] further notes on sample means and consecutive sampling
X-Git-Tag: yr12~56
X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/ad981300b1ec2c4b3a9e4547f8dd1214d4c0570f

[spec] further notes on sample means and consecutive sampling
---

diff --git a/spec/statistics.pdf b/spec/statistics.pdf
index 56f9c83..9f5622d 100644
Binary files a/spec/statistics.pdf and b/spec/statistics.pdf differ
diff --git a/spec/statistics.tex b/spec/statistics.tex
index 0b6f4ce..2228636 100644
--- a/spec/statistics.tex
+++ b/spec/statistics.tex
@@ -85,6 +85,8 @@
 
   Sample mean is distributed with mean \(\mu\) and sd \(\frac{\sigma}{\sqrt{n}}\) (approaches these values for increasing sample size \(n\)).
 
+  For a new distribution with mean of \(n\) trials, \(\operatorname{E}(X^\prime) = \operatorname{E}(X), \quad \operatorname{sd}(X^\prime) = \dfrac{\operatorname{sd}(X)}{\sqrt{n}}\)
+
   \begin{tcolorbox}[colframe=cas!75!black, title=On CAS]
   
     \begin{itemize}