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education/statistics/Sampling.md
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@ -73,6 +73,7 @@ Remember that the *parameter* is the *number* that actually describes the popula
For any unknown average, the probability histogram of the sample averages will be shaped like the normal curve and centered at the true average with a standard deviation equal to $SE_{ave}$.
$$ sample_{ave} \pm 2 * SE_{ave} $$
If solving for a specific interval, substitute $2$ for your $z$ value.
This equation should be a review:
$$ SE_{ave} = \frac{SD}{\sqrt{size\space samp}} $$
The above equation will give you an interval that you can be 95% confident that the true random will be within that point.
@ -82,4 +83,7 @@ The above equation will give you an interval that you can be 95% confident that
A confidence interval is only valid if the sample is not a simple random sample.
If we're using two standard deviations, the below statement can be used:
"We can be 95% confident that the interval \[we have constructed] contains the true average \[thing being measured]."
"We can be 95% confident that the interval \[we have constructed] contains the true average \[thing being measured]."
## Margin of Error
The margin of error is $sample_{ave} \pm z* SE_{ave}$. As we increase the confide