Let y 1 , y 2 , . . . , y n be a random sample

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Let y1, y2, . . . , yn be a random sample of n observations from an exponential distribution with mean β. Derive a large-sample confidence interval for β. Start with the pivotal statistic

and show that for large samples, Z is approximately a standard normal random variable. Then substitute y̅ for β in the denominator (why can you do this?) and follow the pivotal method of Example 7.6.

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Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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