Consider again the conditions of Exercise 7, but suppose now that it is desired to test the

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Consider again the conditions of Exercise 7, but suppose now that it is desired to test the following hypotheses:
H0: σ21 = σ22,
H1: σ21 = σ22.
Suppose also that the statistic V is defined by Eq. (9.7.4), and it is desired to reject H0 if either V ≤ c1 or V ≥ c2, where the constants c1 and c2 are chosen so that when H0 is true, Pr(V ≤ c1) = Pr(V ≥ c2) = 0.025. Determine the values of c1 and c2 when m = 16 and n = 10, as in Exercise 7.
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Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

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