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The TTC has set a bus mechanical reliability goal of 3,900 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles

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The TTC has set a bus mechanical reliability goal of 3,900 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 3,975 bus miles and a sample standard deviation of 325 bus miles. Complete part (8) and (b) below. a. Is there evidence that the population mean bus miles is more than 3,900 bus miles? (Use a D.DS level of significance.) State the null and alternative hypotheses, (Type integers) Find the test statistic for this hypothesis test. The test statistic t= (Round to two decimal places as needed.) The critical value for the test statistic is(are)(]- [Round to two decimal places as needed) Is there sufficient evidence to reject the null hypothesis using a = 0.057 O A. Reject the null hypothesis. There is sufficient evidence at the 0.05 level of significance that the population mean bus miles is greater than 3,900 bus miles. O B. Do not reject the null hypothesis. There is insufficient evidence at the 0.05 laval of significance that the population mean bus miles is greater than 3,900 bus miles. O C. Reject the null hypothesis. There is sufficient evidence at the 0.05 level of significance that the population mean bus miles is less than 3,900 bus miles. O D. Do not reject the null hypothesis. There Is Insufficient evidence at the 0.05 level of significance that the population mean bus miles is less than 3,900 bus miles. b. The p-value is ]. (Round to 3 decimal places as needed.) What does this p-value mean given the results of part (a)? O A. The p-value is the probability of getting a sample mean of 3,975 bus miles or greater If the actual mean is 3,900 bus miles. O B. The p-value is the probability that the actual mean is greater than 3.975 bus miles. O C. The p-value is the probability that the actual mean is 3,975 bus miles or less O D. The p-value is the probability that the actual mean is 3,900 bus miles or greater given the sample mean is 3,975 bus miles

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