A sample of n = 4 scores has a standard error of 10 points.For the same population,what is the standard error for a sample of n = 16 scores?
A)1
B)2.5
C)5
D)10

Question

A sample of n = 4 scores has a standard error of 10 points.For the same population,what is the standard error for a sample of n = 16 scores?​
A)1​
B)​2.5
C)​5
D)​10

Quizplus · Accepted Answer

The standard error decreases as the sample size increases, given that the standard deviation remains constant. The formula for standard error is SE = SD/sqrt(n), where SD is the standard deviation and n is the sample size. Therefore, if n increases four times from 4 to 16, the standard error will decrease by a factor of sqrt(4) = 2. Hence, the standard error for a sample of n = 16 scores will be 10/2 = 5 points. Therefore, the correct choice is C.

A Sample of N = 4 Scores Has a Standard