STAT 409Examples for 09/25/2009 Fall 2009 If Uand Vare independent χ2(r1)and χ2(r2)randomvariables, respectively, then F= 21rrVUhas an Fdistribution with r1and r2degrees of freedom. X1, … , Xn~ 2,XXNσμ, Y1, … , Ym~ 2,YYNσμ, ⇒2222XXYYSSσσ= ((29(29(2911112222----nnmmXXYYSSσσ~ F(m– 1, n– 1). 100(1 – α)% confidence interval for 22YXσσ(29(29••----1,1α,1,1α1222222yxFyxFssnmssmn1.A manufacturer of electronic components believes that the variance of the lifetime distribution of components he manufactures is equal to that of his major competitor;
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