When in doubt about your assumption that the population variances are equal when comparing two population means, the best strategy is to proceed with the unequal variances test.

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When there is doubt about the assumption of equal population variances when comparing two population means, it is more appropriate to use a test that does not assume equal variances, such as the Welch's t-test, to avoid potential inaccuracies in the results.

When in Doubt About Your Assumption That the Population Variances