Question

The fact that the sampling distribution of sample means can be approximated by a normal probability distribution whenever the sample size is large is based on what?

1) Central Limit Theorem
2) Law of Large Numbers
3) Standard Deviation
4) Confidence Interval

Answer 1

The fact that the sampling distribution of sample means can be approximated by a normal probability distribution whenever the sample size is large is based on the Central Limit Theorem.

Step-by-step explanation:

The fact that the sampling distribution of sample means can be approximated by a normal probability distribution whenever the sample size is large is based on the Central Limit Theorem. The Central Limit Theorem states that if samples of sufficient size are drawn from a population, the distribution of sample means will be normal, even if the distribution of the population is not normal.