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 bu resulted in a sample mean of 3,825 bus miles and a sample standard deviation of 225 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 0.05 level of significance.) State the null and alternative hypotheses. Ho: H Hy: H (Type integers or decimals.) Find the test statistic for this hypothesis test. tSTAT = (Round to two decimal places as needed.) The critical value(s) for the test statistic is(are) |]. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Is there sufficient evidence to reject the null hypothesis using a = 0.05? O A. 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 3,800 bus miles. O B. Do not reject the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean bus miles is greater than 3,800 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 3,800 bus miles. O D. Reject the null hypothesis. There is sufficient evidence at the 0.05 level of significance that the population mean bus miles is greater than 3,800 bus miles. b. Determine the p-value and interpret its meaning. The p-value is. (Round to three decimal places as needed.) What does this p-value mean given the results of part (a)?b. Determine the p-value and interpret its meaning. The p-value is (Round to three decimal places as needed.) What does this p-value mean given the results of part (a)? O A. The p-value is the probability that the actual mean is 3,800 bus miles or greater given the sample mean is 3,825 bus miles. O B. The p-value is the probability that the actual mean is 3,825 bus miles or less. O C. The p-value is the probability that the actual mean is greater than 3,825 bus miles. O D. The p-value is the probability of getting a sample mean of 3,825 bus miles or greater if the actual mean is 3,800 bus miles