If you are comparing two independent groups with very different variances, you should not use the independent samples t-test.

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When comparing two independent groups with very different variances, the independent samples t-test may not be appropriate as it assumes that the variances of the two groups are equal. A better alternative would be to use a Welch's t-test or a non-parametric test such as the Mann-Whitney U test.

If You Are Comparing Two Independent Groups with Very Different