Z-Test of a Mean

Where $\bar x$ 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:

$z = \sqrt{n/d_{eff}}\frac{\bar x - e}{s}$

where $p = 2(1-\Phi(|z|))$ if $\bar x \ne e$ and NaN otherwise.