The expected value of the sampling distribution of $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ is $\mu _ { \bar { x } _ { 1 } - \bar { x } _ { 2 } } = \mu _ { 1 } - \mu _ { 2 }$ where $\mu$_i is the mean of population i (i = 1,2).

Question

Quizplus · Accepted Answer

This is a property of the expected value of the difference between two sample means, which is equal to the difference between the population means.

The Expected Value of the Sampling Distribution Of Xˉ1−Xˉ2\bar { X } _ { 1 } - \bar { X } _ { 2 }Xˉ1​−Xˉ2​

The Expected Value of the Sampling Distribution Of $\bar { X } _ { 1 } - \bar { X } _ { 2 }$