## Sample size to estimate mean

Use this calculator to find the minimum sample size required to estimate population mean $\mu$.

Sample Size to estimate mean | ||
---|---|---|

Confidence Level ($1-\alpha$) | ||

Standard Deviation ($\sigma$) | ||

Margin of Error ($E$) | ||

Results | ||

Z value: | ||

Required Sample Size : ($n$) | ||

## Sample size required to estimate mean

The minimum sample size required to estimate the population mean $\mu$ is
```
$$
\begin{aligned}
n &= \bigg(\frac{z*\sigma}{E}\bigg)^2
\end{aligned}
$$
```

where

- $z=z_{\alpha/2}$ is the critical value of $Z$
- $\sigma$ is the population standard deviation
- $E$ is the margin of error.