THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 139

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose that x₁ and x₂ are random samples of observations from a population with mean μ and variance σ².Consider the following three point estimators,X,Y,and Z,of μ: X = (x₁ + x₂)/2,Y = (x₁ + 3x₂)/4,and Z = (x₁ + 2x₂)/3.
-Find the relative efficiency of X with respect to each of the other two estimators Y and Z.

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Definitions:

Millennials

A demographic cohort following Generation X, typically referred to those born from the early 1980s to the mid-1990s to early 2000s.

Traditionalists

People or principles favoring traditional values and practices, especially in cultural or religious affairs.

Short-Lived

Refers to something that lasts for only a brief period.

Intense

Characterized by a high degree of emotion, energy, or activity; often used to describe situations or feelings that are powerful and extreme.