The police that patrol a heavily traveled highway claim that theaverage driver exceeds the 65 miles per hour speed limit by morethan 10 miles per hour. Seventy-two randomly selected cars wereclocked by airplane radar. The average speed of the 72 cars was77.40 miles per hour, and the standard deviation of these speedswas 5.90 miles per hour. Test a 5% level of significance whetherthe average speed by all drivers is more than 75 mph. Make sure toshow all of your work and include every step.