The Central Limit Theorem is considered powerful in statistics because __________.
A)it works for any sample size provided the population is normal
B)it works for any sample provided the population distribution is known
C)it works for any population distribution provided the population mean is known
D)it works for any population distribution provided 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 increases, regardless of the population's distribution, provided the sample size is sufficiently large. This makes it a powerful tool in statistics for making inferences about population parameters.

The Central Limit Theorem Is Considered Powerful in Statistics Because