Use the T statistic in Exercise 10.41 as a pivotal statistic to derive a (1 - )100%
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Use the T statistic in Exercise 10.41 as a pivotal statistic to derive a (1 - α)100% confidence interval for β1.
Data from Exercise 10.41
It can be shown (proof omitted) that the least-squares estimates, β̂o and β̂1, are independent (in a probabilistic sense) of s2. Use this fact, in conjunction with Theorem 10.1 and the result of Exercise 10.40, to show that
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Related Book For 
Statistics For Engineering And The Sciences
ISBN: 9781498728850
6th Edition
Authors: William M. Mendenhall, Terry L. Sincich
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