You are using independent samples of size 14 to test whether two population means are equal, with $\mu$₁ = $\mu$₂ as the null hypothesis.If the populations are normal and have unequal variances, it would be appropriate to use a pooled sample standard deviation in your test.

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Quizplus · Accepted Answer

When the populations have unequal variances (also known as heteroscedasticity), using a pooled sample standard deviation is not appropriate. Instead, a test that does not assume equal variances, such as Welch's t-test, should be used.

You Are Using Independent Samples of Size 14 to Test μ\muμ

You Are Using Independent Samples of Size 14 to Test $\mu$