When is the sampling distribution of sample means normal?
A) whenever the variable is normal in the population, regardless of sample size
B) whenever the sample is skewed, but only if the sample size is greater than n =10
C) whenever the mean is equal to the standard deviation but sample size is less than n =50
D) The shape of the sampling distribution can never be known.

Question

Quizplus · Accepted Answer

The sampling distribution of sample means is normal if the population distribution is normal, regardless of the sample size, due to the Central Limit Theorem.

When Is the Sampling Distribution of Sample Means Normal