Two samples each have n = 4 scores.If the first sample has a variance of 10 and the second sample has a variance of 6,what is the estimated standard error for the sample mean difference?
A)1
B)2
C)4
D)Cannot determine without more information

Question

Quizplus · Accepted Answer

The estimated standard error for the sample mean difference can be calculated using the formula, 
SE = sqrt((s1^2/n1) + (s2^2/n2)), where s1 and s2 are the variances of the two samples and n1 and n2 are the sample sizes. Plugging in the values, we get SE = sqrt((10/4) + (6/4)) = sqrt(4) = 2. Therefore, the estimated standard error is 2.

Two Samples Each Have N = 4 Scores