Inference for μ

Statistical Inference for $\mu$

$n=$

$\bar{x}=$

for $\mu$:

$H_0:\mu$
$H_a:\mu$

Significance level: α =

Show equations Enter raw data

This applet performs inference for a population mean $\mu$.

Assume

$X_i \stackrel{iid}{\sim} N(\mu,\sigma^2)$ for $i=1,\ldots,n$

Directions

Enter the sample size in the $n$ box.
Enter the sample mean in the $\bar{x}$ box.
Enter either the population standard deviation $\sigma$ or the sample standard deviation $s$.
Hitting "Tab" or "Enter" will compute a confidence interval for $\mu$.

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