The sampling distribution of is normal if the sampled populations are normal,and approximately normal if the populations are nonnormal and the sample sizes n₁ and n₂ are large.

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The statement is correct. The central limit theorem states that the sampling distribution of a sample mean will approach a normal distribution as the sample size increases, regardless of the distribution of the population, as long as the sample is random and independent. Therefore, if the sample sizes are large enough, the sampling distribution of 11eabe93_b577_5cc8_b3f5_071316a8c2ab_TB4387_11 will be approximately normal even if the populations are non-normal. If the populations are normal, then the sampling distribution will also be normal.

The Sampling Distribution of Is Normal If the Sampled