The article Uncertainty Estimation in Railway Track Life-Cycle Cost (J. of Rail and

Chapter 8, Problem 29

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The article Uncertainty Estimation in Railway Track Life-Cycle Cost (J. of Rail and Rapid Transit, 2009) presentedthe following data on time to repair (min) a rail break in thehigh rail on a curved track of a certain railway line.159 120 480 149 270 547 340 43 228 202 240 21 A normal probability plot of the data shows a reasonably linearpattern, so it is plausible that the population distribution ofrepair time is at least approximately normal. The sample meanand standard deviation are 249.7 and 145.1, respectively.a. Is there compelling evidence for concluding that trueaverage repair time exceeds 200 min? Carry out a test ofhypotheses using a significance level of .05.b. Using , what is the type II error probability ofthe test used in (a) when true average repair time is actually300 min? That is, what is b(300)?

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