Independent Samples T-Test - Equal Variance

Where $\bar{x}$ and $\bar{y}$ 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:

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

where:

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

$v = n_x + n_y - 2$

$s^2_{xy} = ((n_x - 1) s^2_x + (n_y - 1) s^2_y) / v$, and

$s^2_\bar{xy} = s^2_{xy}(n^{-1}_x + n^{-1}_y)$.