The standard deviation for the population of freshmen who ha

The standard deviation for the population of freshmen who have taken the stress inventory is 8.calculate the standard deviation of the distribution of means for samples comprised as 4, 8, 12, and 20 freshmen?

Solution

4, 8, 12, and 20 freshmen?

Popuation Standard Deviation = 8
WITH SAMPLE SIZE 4,8,12,20
I.
Standard Deviation = s.d / Sqrt(n) = 8/Sqrt(4) = 8/2 = 4
II.
Standard Deviation = s.d / Sqrt(n) = 8/Sqrt(8) = 2.828
III.
Standard Deviation = s.d / Sqrt(n) = 8/Sqrt(12) = 2.309
IV.
Standard Deviation = s.d / Sqrt(n) = 8/Sqrt(20) = 1.78