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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

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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.
-Which of the estimators X,Y,and Z is the most efficient?


Definitions:

Pulsating Currents

A type of electrical current that varies in amplitude but not direction, often seen as the output of rectifiers and can be smoothed into a more constant DC current using filters.

Triplen Harmonic Frequencies

Odd multiples of the third harmonic frequency that, when present in three-phase electrical systems, can lead to neutral conductor current overload and equipment overheating.

Phase Currents

Phase currents refer to the currents that flow through each phase of a multi-phase system, such as in three-phase electrical systems, highlighting their individual magnitudes and directions.

Neutral Conductor

A conductor that carries only the imbalance of current between the live conductors in a multiphase system, and is at ground potential.

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