Law enforcement wants to know typical driver speeds in front of a school when children are present. They also want to know if the average speed is exceeding the posted speed limit over the long term....

Law enforcement wants to know typical driver speeds in front of a school when children are present. They also want to know if the average speed is exceeding the posted speed limit over the long term. The posted speed limit at this time is 35 mph. They use a radar gun that is accurate to within 1 mph (bias) and a standard deviation of 1 mph. The daily average speeds for a week are 37, 34, 38, 35, and 34 mph. With 95% confidence, is the speed limit exceeded (long term) on average based upon the data?