A police officer is concerned about speeds on a certain section of Interstate 90. The data accompanying this exercise show the speeds of 40 cars on a Saturday afternoon. 

a. The speed limit on this portion of Interstate 90 is 65 mph. Specify the competing hypotheses in order to determine if the average speed of cars on Interstate 90 is greater than the speed limit. 

b. Calculate the value of the test statistic and the p-value. 

c. At α = 0.01, are the officer’s concerns warranted? Explain.