Refer to Exercise 8.46. Assume that Y1, Y2,..., Yn is a sample of size n from an
Chapter 8, Problem 8.47(choose chapter or problem)
Refer to Exercise 8.46. Assume that Y1, Y2,..., Yn is a sample of size n from an exponential distribution with mean . a Use the method of moment-generating functions to show that 2n i=1 Yi / is a pivotal quantity and has a 2 distribution with 2n df. b Use the pivotal quantity 2n i=1 Yi / to derive a 95% confidence interval for . c If a sample of size n = 7 yields y = 4.77, use the result from part (b) to give a 95% confidence interval for .
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