Suppose in the disk drive factory of Example 11.8, \Ve can

Chapter 11, Problem 11.25

(choose chapter or problem)

Suppose in the disk drive factory of Example 11.8, \Ve can observe K , the number of failed devices out of n, devices tested. As in the example, let Hi denote the hypothesis that the failure rate is qi. (a) _Assuming qo < q1, 'vhat is the lVIL hypothesis test based on an observation of J{? (b) \tVhat are the conditional probabilities of error P FA = P [-41 IHo] and PM1ss = P[Ao IH1]? Calculate these probabilit . f c::oo -4 - 2 ,1es or ri = o , qo = 10 , q1 = 10 . ( c) Compare this test to that considered in Example 11.8. \l\fhich test is more reliable? Which test is easier to implement?

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