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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 = = [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.

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.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 4E
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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
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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