A study compares the means of two groups, each having N = 20. If the standard deviations of the two groups are 10.00 and 6.00, what is the value for the standard error of the difference ?
A) .89
B) 2.61
C) 5.43
D) 6.80

Question

A study compares the means of two groups, each having N = 20. If the standard deviations of the two groups are 10.00 and 6.00, what is the value for the standard error of the difference  ?
A) .89 
B) 2.61 
C) 5.43 
D) 6.80

Quizplus · Accepted Answer

The standard error of the difference between means is calculated as the square root of [(SD1^2/N1) + (SD2^2/N2)]. Substituting the given values, we get the standard error as square root of [(10^2/20) + (6^2/20)] = 2.61. Therefore, the correct answer is B.

A Study Compares the Means of Two Groups, Each Having