performance of a computer

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section17.5: Steady-state Probabilities And Mean First Passage Times
Problem 6P
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The performance of a computer is observed over a period of 2 years
(52 weeks/year) to check the claim that the probability is 0.20 that its downtime will exceed
5 hours in any given week. Testing the null hypothesis p = 0.20 against the alternative
hypothesis p 6= 0.20, what can we conclude at the level of significance α = 0.05, if there were
only 11 weeks in which the downtime of the computer exceeded 5 hours?

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