The equal-variances test statistic of $\mu _ { 1 } - \mu _ { 2 }$ is Student t-distributed with n₁ + n₂ - 2 degrees of freedom, provided that the two sample sizes are equal.

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The equal-variances test statistic is Student t-distributed with $ n_1 + n_2 - 2 $ degrees of freedom regardless of whether the sample sizes are equal or not, as long as the population variances are assumed to be equal.

The Equal-Variances Test Statistic Of μ1−μ2\mu _ { 1 } - \mu _ { 2 }μ1​−μ2​

The Equal-Variances Test Statistic Of $\mu _ { 1 } - \mu _ { 2 }$