When independent samples, with unknown, unequal standard deviations, are used to test for differences in the means, we pool the sample variances.

Name: When independent samples, with unknown, unequal standard deviations, are used to test for differences in the means, we pool the sample variances.
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When independent samples have unknown, unequal standard deviations, we do not pool the sample variances. Instead, we use a modified t-test, such as Welch's t-test, which does not assume equal variances.

When Independent Samples, with Unknown, Unequal Standard Deviations, Are Used