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 : 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  :
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, regardless of the underlying population distribution, the sampling distribution of the sample mean tends to be approximately normal if the sample size is sufficiently large (typically n > 30). Therefore, option B is the correct answer.

The Central Limit Theorem States That,if a Random Sample of Size