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A lumber company has claimed that the standard deviation for the lengths of. their 6 foot boards is 0.5 inches or less. To test their claim, a random.
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Y1 -> exp( n/θ) nY1 -> exp(1/θ). Y2-Y1 -> exp( n-1/θ) --> (n-1)(Y2-Y1) -> exp(1/θ). Y3-Y2 -> exp( n-2/θ) --> (n-2)(Y3-Y2) -> exp(1/θ). Yr - Yr-1 ->exp
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We consider a random sample X1,X2,...,Xn from a distribution with pdf. f(x;θ) = (1/θ)exp(-x/θ) , 0<x<無限大 , zero elsewhere , where 0<θ.. Possibly , in
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