For a population with an unknown distribution, the form of the sampling distribution of the sample mean is
A)approximately normal for small sample sizes.
B)exactly normal for large sample sizes.
C)exactly normal for small sample sizes.
D)approximately normal for large sample sizes.

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution regardless of the population distribution. Therefore, the sampling distribution of the sample mean is approximately normal for large sample sizes.

For a Population with an Unknown Distribution, the Form of the Sampling