A sample of size n is selected at random from an infinite population.As n increases,which of the following statements is true?
A) The population standard deviation decreases
B) The standard error of the sample mean decreases
C) The population standard deviation increases
D) The standard error of the sample mean increases
E) The sample mean increases.

Question

Quizplus · Accepted Answer

The standard error of the sample mean (SE) is equal to the population standard deviation (σ) divided by the square root of the sample size (n). As n increases, the denominator (the square root of n) gets larger, which means the overall fraction gets smaller. Therefore, the standard error of the sample mean decreases as the sample size increases. None of the other answer choices are true.

A Sample of Size N Is Selected at Random from an Infinite