T-Test of a Mean

Where $\overline{x}$ is the observed mean, $e$ is the expected value, $s$ is the sample standard deviation, $n$ is the sample size, and $d_{eff}$ is Extra deff:

$t=\sqrt{n/d_{eff}}\frac{\overline{x}-e}{s}$

where $p=2\mathrm{Pr}(t_{n-1}\ge |t|)$ if $\overline{x}\ne e$ and NaN otherwise. .