Independent Samples T-Test - Equal Variance

Where $\overline{x}$ and $\overline{y}$ are the two means and $s_x$ and $s_y$ respectively are their Standard Deviations, and $n_x$ and $n_y$ are their sample sizes respectively, the test statistic is:

$t=\frac{\overline{x}-\overline{y}}{s_{\overline{xy}}}$,

where:

$p=2\mathrm{Pr}(t_v\ge |t|)$,

$v=n_x+n_y-2$

$s_{xy}^2=((n_x-1)s_x^2+(n_y-1)s_y^2)/v$, and

$s_{\overline{xy}}^2=s_{xy}^2(n_x^{-1}+n_y^{-1})$.