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8. Let y be a normal random variable with a constant mean E(y) = 4, constant variance var(y.) = o?, and a covariance cov(y, y;) = 0 for t # j. Consider the sample mean j = } E1 Y. %3D A. Show that the variance of the sample mean y is .

8. Let y be a normal random variable with a constant mean E(y) = 4, constant variance var(y.) = o?, and a covariance cov(y, y;) = 0 for t # j. Consider the sample mean j = } E1 Y. %3D A. Show that the variance of the sample mean y is .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 12PPS
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8. Let y be a normal random variable with a constant mean E(y) = 4, constant variance var(y.) = o², and a covariance cov(y, y;) = 0 for t# j. Consider the sample mean j = E %3D A. Show that the variance of the sample mean y is .
Transcribed Image Text:8. Let y be a normal random variable with a constant mean E(y) = 4, constant variance var(y.) = o², and a covariance cov(y, y;) = 0 for t# j. Consider the sample mean j = E %3D A. Show that the variance of the sample mean y is .
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