Statistics in Science Suppose you have two random variableswhere Cov(X, Y) = 0x,YYou sample bothyou observe (r1, Y1)..., (xn, Yn). (Assume n is very very very large.)Construct a so called test statistic, call it Z for the difference in means µx – µy, realizingthat it should look like(7-9)– E(4x – HY)VVar(X - )Complete this equation, in terms of the parameters of the original random variables and thesample size nSuppose you observe sample data:n=81,7 = 50, J = 55 and you know o= 25, o 144, oxY= 34.5.%3DTest a two sided hypothesis that there is no difference in the means of X and Y

The provided information is: n=81x¯=50y¯=55σ2x=25σ2y=144σxy=34.50

Answered: Suppose you have two random variables…

Suppose you have two random variables X,Y ux,Hy,o o3,0xY where Cov(X, Y) = 0x.Y You sample both (1poume n is very very very large.) 5

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

Statistics in Science

Suppose you have two random variables
where Cov(X, Y) = 0x,Y
You sample both
you observe (r1, Y1)..., (xn, Yn). (Assume n is very very very large.)
Construct a so called test statistic, call it Z for the difference in means µx – µy, realizing
that it should look like
(7-9)– E(4x – HY)
VVar(X - )
Complete this equation, in terms of the parameters of the original random variables and the
sample size n
Suppose you observe sample data:
n=81,7 = 50, J = 55 and you know o= 25, o 144, oxY
= 34.5.
%3D
Test a two sided hypothesis that there is no difference in the means of X and Y

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