Let X 1 ,X 2 ,X 3 ,X 4 be a random sample of size n =

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Let X1,X2,X3,X4 be a random sample of size n = 4 from the normal distribution N(0,1). Show that Σ4i=1(Xi − ‾X)2 equals

and argue that these three terms are independent, each with a chi-square distribution with 1 degree of freedom.

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Introduction To Mathematical Statistics

ISBN: 9780321794710

7th Edition

Authors: Robert V., Joseph W. McKean, Allen T. Craig

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