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Let X1, … , Xn. be a random sample from gamma (2, theta), where theta is...

Let X1, … , Xn. be a random sample from gamma (2, theta), where theta is unknown.

Construct a 100(1 - a)% confidence interval for theta. As a pivot r.v. consider

2 (n∑i=1) (Xi / theta)     

NOTE: gamma (2, theta) = gamma (a, b), where a = 2 and b = theta.

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