Let X1,X2, . . . , Xn be a random sample from a gamma distribution withknown parameter α = 3 and unknown β > 0. In Exercise 4.2.14, we obtained anapproximate confidence interval for β based on the Central Limit Theorem. In thisexercise obtain an exact confidence interval by first obtaining the distribution of2n1 Xi/β.Hint: Follow the procedure outlined in Exercise 4.2.18.

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