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Posted: Fri May 20, 2022 6:42 pm
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4. (15 points, each part is out of 5 points)) The article “Uncertainty Estimation in Railway Track Life-Cycle Cost” (J. of Rail and Rapid Transit, 2009) presented the following data on time to repair (min) a rail break in the high rail on a curved track of a certain railway line. 159 a. 120 480 149 270 547 340 43 228 202 240 218 Construct a normal probability plot of the data. Is it plausible that the population distribution of repair time is at least approximately normal? Comment on that. Note: In parts b and c, we will assume that the sample comes from a normal distribution. b. Is there compelling evidence for concluding that true average repair time exceeds 200 min? Carry out a test of hypotheses using a significance level of 0.05. In your report, you need to formally state the test hypotheses, provide the value of the test statistic, P-value, and the final conclusion. Use an appropriate function in base R to carry out the test of hypotheses. Include the output produced by the function in your report. c. Using o 150 , what is the type II error probability of the test used in a. when true average repair time is actually 300 min? That is, what is B(300) ? Use an appropriate function in base R to obtain the answer. Include the output produced by the function in your report.
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