The police department of Youbet, Michigan, is considering the purchase

The police department of Youbet, Michigan, is considering the purchase of new radar guns. On the average, the guns presently used by the department can detect a speeding vehicle at a distance of 2217 feet. In order to demonstrate the new radar guns, the manufacturer has allowed the Youbet police department to use the guns for a short period of time. A random sample of 20 days in action shows that the new guns can detect a speeding vehicle at 2230 feet (mean) with a standard deviation of 72 feet. If the old guns and the new guns are equally accurate, should the department purchase the new radar guns?

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