b:head_first_statistics:estimating_populations_and_samples
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b:head_first_statistics:estimating_populations_and_samples [2024/11/11 08:17] – [Recap] hkimscil | b:head_first_statistics:estimating_populations_and_samples [2024/11/11 08:23] (current) – [Recap] hkimscil | ||
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\begin{eqnarray*} | \begin{eqnarray*} | ||
Ps & \sim & N(p, \frac{pq}{n}) \\ | Ps & \sim & N(p, \frac{pq}{n}) \\ | ||
+ | \text{hence, | ||
+ | \text{standard deviation of} \\ | ||
+ | \text{sample proportions} & = & \sqrt{\frac{pq}{n}} | ||
\end{eqnarray*} | \end{eqnarray*} | ||
Distribution of **Sample** <fc # | Distribution of **Sample** <fc # | ||
Line 632: | Line 635: | ||
\begin{eqnarray*} | \begin{eqnarray*} | ||
\overline{X} & \sim & N(\mu, | \overline{X} & \sim & N(\mu, | ||
+ | \text{hence, | ||
+ | \text{standard deviation of} \\ | ||
+ | \text{sample means} & = & \sqrt{\frac{\sigma^2}{n}} \\ | ||
+ | & = & \frac{\sigma}{\sqrt{n}} | ||
\end{eqnarray*} | \end{eqnarray*} |
b/head_first_statistics/estimating_populations_and_samples.1731280667.txt.gz · Last modified: 2024/11/11 08:17 by hkimscil