The central limit theorem states that when an infinite number of random samples are drawn from a population, the sample means are approximately normally distributed with a mean equal to the ______ and a standard deviation equal to the ______ of the mean.
A) population mean; standard error
B) population mean; standard deviation
C) sample mean; standard error
D) sample mean standard deviation

Question

Quizplus · Accepted Answer

The central limit theorem states that the distribution of sample means from a large sample (n>30) will be approximately normal, with a mean equal to the population mean and a standard deviation equal to the standard error of the mean (which is equal to the population standard deviation divided by the square root of the sample size). So, option A is the correct choice.

The Central Limit Theorem States That When an Infinite Number