Question: f ( x ; ) = x + 1 2 l n x , x > 1 where > 0 Is an unknown parameter. Let

f(x;)=x+12 lnx,x>1

where>0 Is an unknown parameter.

Let X1, X2, ..., Xn be a random sample from the above probability distribution.

W = ln X has a Gamma (=2,=1 ) distribution (= )

Suggest a confidence integral for with (1)100% confidence level.

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