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

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)has the same variance as the population.

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 sufficiently large (commonly 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 $\bar { X }$