Refer to Exercises 8.39 and 8.47. Assume that Y1, Y2,..., Yn is a sample of size n from
Chapter 8, Problem 8.48(choose chapter or problem)
Refer to Exercises 8.39 and 8.47. Assume that Y1, Y2,..., Yn is a sample of size n from a gamma-distributed population with = 2 and unknown . a Use the method of moment-generating functions to show that 2n 1 Yi / is a pivotal quantity and has a 2 distribution with 4n df. b Use the pivotal quantity 2n 1 Yi / to derive a 95% confidence interval for . c If a sample of size n = 5 yields y = 5.39, use the result from part (b) to give a 95% confidence interval for .
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