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

Question

Quizplus · Accepted Answer

Since the two normal distributions are independent, their mean difference will also follow a normal distribution with mean = µ1-µ2 and standard deviation = sqrt((s1^2/n1) + (s2^2/n2)). Therefore, the mean of the sampling distribution of the mean difference will be µ1-µ2, which is 50-50=0. Therefore, the answer is choice B.

Given Two Independent Normal Distributions with S12- S12 = 100,µ1=

Given Two Independent Normal Distributions with S₁²- S₁² = 100,µ₁=