Mr. C is a long jump coach extraordinaire! The jumping distances have been collected for a sample of students trying out for the long jump squad. The data has a standard deviation of 1.5m. The top 20% of the jumpers have jumped a minimum of 6.26m, and they have qualified for the finals. The top 60% receive ribbons for participation. What range of distances would you have to jump to receive a ribbon for participation, but not qualify to compete in the finals?

Please solve clearly and correctly.