Consider a single observation of a random variable having an exponential distribution A. Recal that Ixt=) = We have a hypothesis test: H : A=2 H : A=1.

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Chapter1: Combinatorial Analysis
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4. Consider a single observation of a random variable having an exponential distribution A. Recall
that
Sx(=) = je,2> 0.
fx(x) =
We have a hypothesis test:
Ho : A=2
H1 : A= 1.
The rejection region is C = {X < K}.
(a)
Decide K so that the test has size a.
(b)
Compute the probability of type II error of this test.
Transcribed Image Text:4. Consider a single observation of a random variable having an exponential distribution A. Recall that Sx(=) = je,2> 0. fx(x) = We have a hypothesis test: Ho : A=2 H1 : A= 1. The rejection region is C = {X < K}. (a) Decide K so that the test has size a. (b) Compute the probability of type II error of this test.
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