The difference in two sample means is normally distributed for sample sizes ≥ 30, only if the populations are normally distributed.

Name: The difference in two sample means is normally distributed for sample sizes ≥ 30, only if the populations are normally distributed.
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Quizplus · Accepted Answer

According to the Central Limit Theorem, the distribution of the sample means will approximate a normal distribution as the sample size becomes large (usually n ≥ 30) regardless of the shape of the population distribution.

The Difference in Two Sample Means Is Normally Distributed for Sample