Pooled variance is a weighted average of the two estimates of variance from the two samples in the independent-samples t test.

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Pooled variance is indeed a weighted average of the variances from the two samples in an independent-samples t test. This weighted average takes into account the sample sizes of each group to create a combined estimate of variance that is used in the calculation of the t statistic.

Pooled Variance Is a Weighted Average of the Two Estimates