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 states that the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. Thus, option A - Central Limit Theorem - is the best choice. The other options are not relevant to the theorem that describes the behavior of the sampling distribution of the sample mean.

The Theorem That States That the Sampling Distribution of the Sample