The Central Limit Theorem plays an important role in statistics because it provides information about the shape of the
A)sampling distribution when the sample size is sufficiently large.
B)sampling distribution for any sample size.
C)population distribution for any sample size.
D)population distribution when the sample size is sufficiently large.

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that the sampling distribution of the sample mean will approach a normal distribution as the sample size becomes large, regardless of the shape of the population distribution. This is why it specifically applies to the shape of the sampling distribution for sufficiently large sample sizes.

The Central Limit Theorem Plays an Important Role in Statistics