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

Multiple Choice

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 _________.

A) 1
B) 0
C) 50
D) 100