Given two independent normal distributions with s₁² − s₂²= 100, μ₁ = μ₂ = 50, and n₁ = n₂ = 50, the sampling distribution of the mean difference ₁ − ₂ will have a mean of ________. A) 100 B) 1 C) 0 D) 50 E) 10

Question

Quizplus · Accepted Answer

Because they are normal distributions, the distribution of the difference will be a normal distribution. Therefore, the mean is 0.

Given Two Independent Normal Distributions with S12 − S22= 100

Given Two Independent Normal Distributions with S₁² − S₂²= 100