The Central Limit Theorem states that, if a random sample of size n is drawn from a population, then the sampling distribution of the sample mean $\bar { X }$ : A)is approximately normal if n 30. C)is approximately normal if the underlying population is normal. D)None of these choices.

Question

The Central Limit Theorem states that, if a random sample of size n is drawn from a population, then the sampling distribution of the sample mean $\bar { X }$ :
A)is approximately normal if n < 30.
B)is approximately normal if n > 30.
C)is approximately normal if the underlying population is normal.
D)None of these choices.

Quizplus · Accepted Answer

The Central Limit Theorem states that the sampling distribution of the sample mean will be approximately normal if the sample size is large enough, typically n > 30, regardless of the population's distribution.

The Central Limit Theorem States That, If a Random Sample Xˉ\bar { X }Xˉ

The Central Limit Theorem States That, If a Random Sample $\bar { X }$