Let X 1 ,X 2 , . . . , X 10 denote a random sample of
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Let X1,X2, . . . , X10 denote a random sample of size 10 from a Poisson distribution with mean θ. Show that the critical region C defined by Σ101 xi ≥ 3 is a best critical region for testing H0 : θ = 0.1 against H1 : θ = 0.5. Determine, for this test, the significance level α and the power at θ = 0.5.
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a The critical region C consists of all those subsets of 12 1...View the full answer
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Related Book For 
Introduction To Mathematical Statistics
ISBN: 9780321794710
7th Edition
Authors: Robert V., Joseph W. McKean, Allen T. Craig
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