QUESTION 3 Suppose we have a random sample of size from a population represented by P(), i.e., iid In particular, the (population) mean and variance are E[Y ]=µ and V(Y) = o2, respectively, for all observations i = 1, ., n. We would estimate the population mean u by the sample average: 1 Y:= n-1 Choose the correct statement about y: * EL)= 0 EL]= 02 C. * EL]>H d. y is always unbiased.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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QUESTION 3
Suppose we have a random sample of size
from a population represented by P(.), i.e.,
iid
Y1.,Y, P(-)
In particular, the (population) mean and variance are ETY,]= u and V(Y,) = o2, respectively, for all observations i = 1, ., n. We would estimate the population mean u
by the sample average:
1
Y: =
ΣΥ
ni-1
Choose the correct statement about y:
d.y is always unbiased.
Transcribed Image Text:QUESTION 3 Suppose we have a random sample of size from a population represented by P(.), i.e., iid Y1.,Y, P(-) In particular, the (population) mean and variance are ETY,]= u and V(Y,) = o2, respectively, for all observations i = 1, ., n. We would estimate the population mean u by the sample average: 1 Y: = ΣΥ ni-1 Choose the correct statement about y: d.y is always unbiased.
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