The theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the:
A) central limit theorem
B) central tendency theorem
C) simple random sample theorem
D) point estimate theorem

Question

The theorem that states that the sampling distribution of the sample mean  is approximately normal when the sample size n is reasonably large is known as the:
A) central limit theorem 
B) central tendency theorem 
C) simple random sample theorem 
D) point estimate theorem

Quizplus · Accepted Answer

The central limit theorem is the theorem that states that the sampling distribution of the sample mean becomes normal as the sample size increases, regardless of the shape of the population distribution. This is a fundamental concept in statistics and is used in many statistical tests and analyses.

The Theorem That States That the Sampling Distribution of the Sample