For a particular population,a sample of n = 4 scores has a standard error of 6.For the same population,a sample of n = 16 scores would have a standard error of _____.
A)8
B)6
C)3
D)2

Question

Quizplus · Accepted Answer

The standard error of the mean decreases as the sample size increases, inversely proportional to the square root of the sample size (n). Since the sample size increases from 4 to 16 (which is a factor of 4), the standard error decreases by a factor of 2 (the square root of 4), making the new standard error 3 (6 divided by 2).

For a Particular Population,a Sample of N = 4 Scores