Sample size required to estimate means
| Sample Size to estimate means | ||
|---|---|---|
| Confidence Level ($1-\alpha$) | ||
| Standard Deviation ($\sigma$) | ||
| Margin of Error ($E$) | ||
| Results | ||
| Z value: | ||
| Required Sample Size : ($n$) | ||
Sample size required to estimate difference between means of independent samples
The formula to estimate the sample size required to estimate the mean of two independent samples is
$$ n_i =2\bigg(\frac{z\sigma}{E}\bigg)^2; i=1,2 $$
where
- $n_i$ is the sample size for $i^{th}$ group,
- $z$ is the $Z_{\alpha/2}$,
- $\sigma$ is the population standard deviation and
- $E$ is the margin of error.
