Describe your approach to solving the problem below; solve the exercise; explain with calculations and verbiage each step of the hypothesis testing procedure, and then write a two-sentence summary of the conclusion based upon your solution.
9.46 The Washington Metropolitan Area Transit Authority has
set a bus fleet reliability goal of 8,000 bus-miles. Bus reliability is
measured specifically as the number of bus-miles traveled before
a mechanical breakdown that requires the bus to be removed from
service or deviate from the schedule. Suppose a sample of 64 buses
resulted in a sample mean of 8,210 bus-miles and a sample standard
deviation of 625 bus-miles.
a. Is there evidence that the population mean bus-miles is greater
than 8,000 bus-miles? (Use a 0.05 level of significance.)
b. Determine the p-value and interpret its meaning