THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let X 1 ,X 2 ,X 3 ,and X 4 be a random sample of observations from a population with mean μ and variance σ 2 .Consider the following two point estimators of μ:
1 = 0.10 X 1 + 0.20 X 2 + 0.40 X 3 + 0.30 X 4 ,and
2 = 0.25 X 1 + 0.25 X 2 + 0.30 X 3 + 0.20 X 4
-Show that both the estimators are unbiased.

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let X 1 ,X 2 ,X 3 ,and X 4 be a random sample of observations from a population with mean μ and variance σ 2 .Consider the following two point estimators of μ:  
 1 = 0.10 X 1 + 0.20 X 2 + 0.40 X 3 + 0.30 X 4 ,and  
 2 = 0.25 X 1 + 0.25 X 2 + 0.30 X 3 + 0.20 X 4 
-Show that both the estimators are unbiased.

Quizplus · Accepted Answer

The Answer of THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let X 1 ,X 2 ,X 3 ,and X 4 be a random sample of observations from a population with mean μ and variance σ 2 .Consider the following two point estimators of μ:  
 1 = 0.10 X 1 + 0.20 X 2 + 0.40 X 3 + 0.30 X 4 ,and  
 2 = 0.25 X 1 + 0.25 X 2 + 0.30 X 3 + 0.20 X 4 
-Show that both the estimators are unbiased.