The central limit theorem states that, if an infinite number of relatively large (over 30) samples were to be drawn from a population in which a variable is somewhat positively skewed, the sampling distribution for those samples would be
A) equally positively skewed.
B) more positively skewed than within the population.
C) a normal distribution.
D) negatively skewed.

Question

Quizplus · Accepted Answer

The central limit theorem states that as the sample size n increases, the sampling distribution of the sample means approaches a normal distribution, regardless of the shape of the population distribution. Therefore, the sampling distribution of a positively skewed variable will also become approximately normal with sufficiently large sample sizes.

The Central Limit Theorem States That, If an Infinite Number