**Title:** Hypothesis Testing for Bus Mechanical Reliability**Introduction:**A metropolitan transportation authority has established a mechanical reliability goal for buses, set at 3,800 bus miles. Mechanical reliability is measured by the number of bus miles that occur between mechanical road calls. This problem examines whether the mean number of bus miles exceeds 3,800, based on a sample.**Scenario:**Suppose a sample of 100 buses showed a sample mean of 3,875 bus miles and a sample standard deviation of 275 bus miles. We need to determine if there is statistical evidence to assert that the population mean bus miles is greater than 3,800 at a 0.01 level of significance.**Statistical Analysis:**a. **Hypotheses:** - **Null Hypothesis (H₀):** μ ≤ 3,800 - **Alternative Hypothesis (H₁):** μ > 3,800 *(Here, "μ" denotes the population mean bus miles.)***Test Statistic:**- The calculated test statistic t_STAT is 2.72. - **T_STAT = 2.72** (Rounded to two decimal places)**Critical Value:**- Determine the critical value(s) corresponding to the 0.01 level of significance for a one-tailed test. The critical value is where the test statistic is compared to decide whether to reject the null hypothesis.**Conclusion:**- The completed analysis with computed test statistics and critical values would suggest whether there is significant evidence to support the claim that the mean bus miles exceed 3,800. This statistical approach is essential for evaluating operational goals and making data-driven decisions in transportation management.*(Note: Further calculations would require determining or providing the critical value for a more comprehensive conclusion.)*

Answered: Image /qna-images/answer/6965be25-a6ca-4cc9-9efe-1fe0bfe6808d.jpg

Answered: A metropolitan transportation authority…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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