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A metropolitan transportation authority has set a bus mechanical reliability goal of 3,800 bus miles. Bus mechanical reliability is measured specifically as the number of
A metropolitan transportation authority has set a bus mechanical reliability goal of 3,800 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,875 bus miles and a sample standard deviation of 325 bus miles. Complete parts (a) and (b) below. a. Is there evidence that the population mean bus miles is more than 3,800 bus miles? (Use a 0.10 level of significance.) State the null and alternative hypotheses. Ho: H S 3800 Hi: H > 3800 (Type integers or decimals.) Find the test statistic for this hypothesis test. STAT = 2.31 (Round to two decimal places as needed.) The critical value(s) for the test statistic is(are) 1.29 . (Round to two decimal places as needed. Use a comma to separate answers as needed.) s there sufficient evidence to reject the null hypothesis using a = 0.10? A. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,800 bus miles. O B. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean bus miles is less than 3,800 bus miles. C. Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean bus miles is less than 3,800 bus miles. D. Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,800 bus miles. b. Determine the p-value and interpret its meaning. The p-value is Round to three decimal places as needed.)
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