In cases where N 1, the relationship between the raw score population standard deviation and the standard error is _________.
A) the standard error is greater than the standard deviation
B) the standard error is less than the standard deviation
C) the standard error equals the standard deviation
D) the standard error is the standard deviation

Question

In cases where N > 1, the relationship between the raw score population standard deviation and the standard error is _________.
A) the standard error is greater than the standard deviation
B) the standard error is less than the standard deviation
C) the standard error equals the standard deviation
D) the standard error is the standard deviation

Quizplus · Accepted Answer

When N > 1, the standard error is always less than the standard deviation. The standard error is a measure of the uncertainty of the sample mean while the standard deviation measures the variability of data points in the entire population. As the sample size increases, the standard error decreases because the sample mean becomes a better estimate of the population mean.

In Cases Where N > 1, the Relationship Between the Raw