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

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

Zybrea Knight · Accepted Answer

Final Answer : A, Explanation :  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.

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