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.

Question

Quizplus · Accepted Answer

The standard error of the sample mean decreases as the sample size (n) increases, because the standard error is inversely proportional to the square root of the sample size. This means that larger samples provide more precise estimates of the population mean.

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