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