When the population variances are unequal, we estimate each population variance with its sample variance.Hence, the unequal-variances test statistic of is approximately Student t-distributed with n₁ + n₂ -2 degrees of freedom.

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This statement is true. When the population variances are unequal, we estimate each population variance with its sample variance, and the resulting test statistic is approximately Student t-distributed with n1+n2-2 degrees of freedom, where n1 and n2 are the sample sizes and S1 and S2 are the sample variances. The formula given in the statement is the correct one for the unequal-variances test.

When the Population Variances Are Unequal, We Estimate Each Population