The sampling distribution of is normal if the sampled populations are normal, and approximately normal if the populations are non-normal and the sample sizes and are large.

Question

The sampling distribution of  is normal if the sampled populations are normal, and approximately normal if the populations are non-normal and the sample sizes  and  are large.

Quizplus · Accepted Answer

This statement is true as it follows the central limit theorem, which states that for large sample sizes, the distribution of sample means will become approximately normal regardless of the distribution of the population. However, if the sample sizes are small or if the populations are very non-normal, the distribution of sample means may not be normal.

The Sampling Distribution of Is Normal If the Sampled