Statistical Inference for $\sigma^2$

$n=$ $s^2=$

for $\sigma^2$:

$H_0:\sigma^2$
$H_a:\sigma^2$

Significance level: $\alpha =$


Show equations

This applet computes performs inference for a population variance $\sigma^2$.

Assume

$X_i \stackrel{iid}{\sim} N(\mu,\sigma^2)$ for $i=1,\ldots,n$ ($\sigma^2$ is unknown).
Observed data is $x_1,\ldots,x_n$; sample variance is $s^2$.

Directions

To perform a hypothesis test, enter $H_0$ and $H_a$. The critical value, rejection region, test statistic, and $p$-value are computed and graphed.