Show that YN = Nỹn is unbiased for Yy. That is, show that E[ YN]= YN -
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Suppose that the finite population being studied has N elements from which a
LOOK AT THE IMAGE ATTACHED
![N
YN =
Yi
To estimate YN, the estimator YN = Ny, will be used.
Given that yn is an unbiased estimator of the population mean YN where
п
1
YN
N
Yn
= -
n
i=1
E[y] = YN, E[ In]
= YN
Show that YN
Nỹ, is unbiased for YN. That is, show that E[ YN ] = YN](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4aff544b-0834-4b43-84de-cfc90a97d411%2Fc3089e4b-90df-4b4b-bb55-0818d0c199de%2Fr0iufv_processed.png&w=3840&q=75)
Transcribed Image Text:N
YN =
Yi
To estimate YN, the estimator YN = Ny, will be used.
Given that yn is an unbiased estimator of the population mean YN where
п
1
YN
N
Yn
= -
n
i=1
E[y] = YN, E[ In]
= YN
Show that YN
Nỹ, is unbiased for YN. That is, show that E[ YN ] = YN
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