Which of the following is implied from the standard error of the mean formula?
A) that true means of populations can be found easier than those of samples
B) that standard deviation increases with increase in sample size
C) that larger sample sizes provide greater accuracy in estimating the true population mean
D) that the true mean of the population can only be calculated using smaller sample sizes

Question

Quizplus · Accepted Answer

The standard error of the mean formula implies that as the sample size increases, the standard error decreases, which means estimates of the population mean become more accurate. This is because the formula for the standard error of the mean is the standard deviation of the population divided by the square root of the sample size, indicating that larger sample sizes lead to smaller standard errors and thus greater accuracy in estimating the true population mean.

Which of the Following Is Implied from the Standard Error