Say you have a sample of size of n many independent observations X₁, X2,..., Xn from some unknown distribution with mean/expectation equal to μ and variance equal to o². n Which of the following is true about the expectation of the sample mean X = = [X₁ ? i=1 Pick only one choice. n O It is equal to the expectation of any of the random variables divided by n, O It is equal to 1. O It is equal to 0. O It is equal to the expectation of any of the random variables, μ.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Say you have a sample of size of n many independent observations X₁, X2,..., Xn from some
unknown distribution with mean/expectation equal to μ and variance equal to o².
n
Which of the following is true about the expectation of the sample mean X = ¹X₂ ?
i=1
Pick only one choice.
μl
O It is equal to the expectation of any of the random variables divided by n,
n
O It is equal to 1.
O It is equal to 0.
O It is equal to the expectation of any of the random variables, μ.
2
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#
3
80
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E
$
4
000
000
F4
70
R
%
5
F5
T
MacBook Air
6
F6
Y
&
7
F7
U
*
8
DII
F8
1
9
F9
K
0
O
F10
P
F11
F12
Transcribed Image Text:esc Say you have a sample of size of n many independent observations X₁, X2,..., Xn from some unknown distribution with mean/expectation equal to μ and variance equal to o². n Which of the following is true about the expectation of the sample mean X = ¹X₂ ? i=1 Pick only one choice. μl O It is equal to the expectation of any of the random variables divided by n, n O It is equal to 1. O It is equal to 0. O It is equal to the expectation of any of the random variables, μ. 2 W F2 J # 3 80 F3 E $ 4 000 000 F4 70 R % 5 F5 T MacBook Air 6 F6 Y & 7 F7 U * 8 DII F8 1 9 F9 K 0 O F10 P F11 F12
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