The data from an independent-measures research study produce a sample mean difference of 4 points and a pooled variance of 16.If there are n = 8 scores in each sample,then what is the estimated standard error for the sample mean difference?
A)2
B)4
C)16
D)128

Question

The data from an independent-measures research study produce a sample mean difference of 4 points and a pooled variance of 16.If there are n = 8 scores in each sample,then what is the estimated standard error for the sample mean difference?​
A)​2
B)​4
C)​16
D)​128

Quizplus · Accepted Answer

The estimated standard error for the sample mean difference is calculated using the formula: SE = sqrt((pooled variance / n) + (pooled variance / n)). Given a pooled variance of 16 and n = 8 for each sample, the calculation is SE = sqrt((16/8) + (16/8)) = sqrt(2 + 2) = sqrt(4) = 2.

The Data from an Independent-Measures Research Study Produce a Sample