Which of the following statements most accurately describes the difference between a U.S. District Court and a U.S. Court of Appeals? Responses U.S. District Courts has trial by jury while U.S. Court of Appeals make decision by a panel of judges. U.S. District Court can only hear federal cases while a U.S. Court of Appeals can hear both state and federal cases. Decisions made by a judges in the U.S. District Court overrule those made by judges in the U.S. Court of Appeals. Cases can be hear in the U.S. Court of Appeals without having first been hear in the U.S District Court