Question

Suppose that many large samples are taken from a population whose data values have a standard deviation of 512.34. Which of the following could be the standard deviation of the sample means?

A) 34.16
B) 1534.16
C) 2034.16
D) 1034.16

Answer 1

by definition the standard deviation of the sample means = population standard deviation / sqrt(sample size)

so by definition the sample mean standard deviation must be smaller than the pop standard deviation