Use the fact that x bar is the approximately nsigma sigma2n

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The sample mean X bar is the maximum likelihood estimator of sigma if the underlying p.d.f is f(x;sigma) = ((1/sigma)e^(-x/sigma)), 0<x< ifinity, where sigma > 0. For this distribution, E(X bar) = sigma and Var(X bar) = sigma^2/n where n is the sample size. Use the fact that X bar is the approximately N(sigma, sigma^2/n) to construct an approximate 95 percent confidence interval for sigma.

Reference no: EM13617051

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