Specialized rail cars connected together into six-car "ore trains" carry copper ore from the Red Top open pit mine to Red Top's ore processing operations. A random sample of 25 cars loaded with ore was selected and the cars were weighed. The sample average weight per car was 24,250 pounds. The population standard deviation of weight per car full of ore is known to be 5000 pounds. You may assume that the distribution of weight per car full of ore is normal.

Management intends to randomly sample exactly one additional car full of ore. This observation will independent of the first 25. Write out an interval around the sample average that has a 90% chance of containing this new observation.