A random sample of size 36 is taken from a population with a mean of 50 and a standard deviation of 5.The sampling distribution of ____________________.
A) cannot be determined
B) is skewed to the left
C) is approximately normal
D) is skewed to the right

Question

Quizplus · Accepted Answer

According to the central limit theorem, as long as the sample size is large enough (typically n≥30), the sampling distribution of the sample means will be approximately normal regardless of the distribution of the population. Therefore, the sampling distribution of the sample means in this case is approximately normal.

A Random Sample of Size 36 Is Taken from a Population