Q311kV SF6 circuit breakers in electrical distribution substations in an industrial park must beperiodically maintained to prevent unexpected faults. An engineer claims that on average,the circuit breakers will fail less than 10 months after the last maintenance work due to thesurrounding atmospheric conditions. Based on his claim, he suggests to reduce preventivemaintenance cycle time. From a sample of 30 circuit breakers, the mean operating hoursbefore fail is 6845 hours with a standard deviation of 766 hours. Let X is the averageoperating hours before fail and α=0.05. Assume 30 days per month in the calculation.(a)Write the null hypothesis, alternative hypothesis and claim for X.(b)(c)(d)(e)Determine the suitable probability distribution to use. Justify your answer.Calculate the critical value and the test statistics.Evaluate the decision using the graph.Conclude the hypothesis test for X.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A researcher is testing a hypothesis of a single mean. The critical t value for a = .05 and a one-tailed test is 2.0639. The observed t value from sample data is 1.742. The decision made by the researcher based on this information is to the null hypothesis. reject not reject redefine change the alternate hypothesis into restate
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Suppose that one chemical plant in a large corporation is accused of exceeding the established limits of toxins being released into the atmosphere. A decision is made to test whether or not the mean level of toxins exceeds the tolerance level μ0=100μ0=100 ppm (parts per million). How would the null and alternative hypotheses be set up given that the researcher is working for the corporation? How would those hypotheses change if the researcher is working for the Environmental Protection Agency (EPA)?
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