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The State of Pennsylvania has changed one of its toll roads from manual collection of tolls to machine collection. The idea behind the change was to allow traffic to flow more quickly through the toll plaza. With human attendants, the mean number of cars passing through the toll plaza was 1,253 per hour. A random sample of 120 hours under the new machine system of toll collection shows a sample mean of 1,261 with a standard deviation of 59. Should Pennsylvania adopt the new system for all toll roads in the state?

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