An experimenter takes a sample of size 1 from the Poisson probability model, p X (k) =
Question:
An experimenter takes a sample of size 1 from the Poisson probability model, pX(k) = e−λλk/k!, k = 0, 1, 2, . . . , and wishes to test
H0: λ = 6
versus
H1: λ < 6
by rejecting H0 if k ≤ 2.
(a) Calculate the probability of committing a Type I error.
(b) Calculate the probability of committing a Type II error when λ = 4.
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Related Book For
Introduction To Mathematical Statistics And Its Applications
ISBN: 9780321693945
5th Edition
Authors: Richard J. Larsen, Morris L. Marx
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