The t-distribution is still applicable even when there are small violations of the assumptions for the case when the variances for two populations are unknown. This is particularly true when the sample sizes are approximately equal.

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The t-distribution is robust to small violations of the normality assumption, especially when sample sizes are equal or nearly equal, and is used when population variances are unknown, making it applicable in many practical situations.

The T-Distribution Is Still Applicable Even When There Are Small