Given two independent normal distributions with s₁² - s₂² = 100,?₁ = ?₂ = 50,n₁ = n₂ = 50,the sampling distribution of the mean difference $\bar { X } _ { 1 } - \bar { X } _ { 2 }$
Will have a mean of _________.

Question

Given two independent normal distributions with s₁² - s₂² = 100,?₁ = ?₂ = 50,n₁ = n₂ = 50,the sampling distribution of the mean difference

\bar { X } _ { 1 } - \bar { X } _ { 2 }

Will have a mean of _________.

Quizplus · Accepted Answer

The mean of the sampling distribution of the mean difference will be equal to the difference in the population means, which is μ₁ - μ₂ = 0. Therefore, the answer is B.

Given Two Independent Normal Distributions with S12 - S22 = Xˉ1−Xˉ2\bar { X } _ { 1 } - \bar { X } _ { 2 }Xˉ1​−Xˉ2​

Given Two Independent Normal Distributions with S₁² - S₂² = $\bar { X } _ { 1 } - \bar { X } _ { 2 }$