What is the chief responsibility of the Supreme Court in relation to appealed cases?

The chief responsibility of the Supreme Court regarding appealed cases is to review and rule on appeals. This process involves examining the decisions made by lower courts to ensure that the law has been applied correctly and that proper legal procedures were followed. The Supreme Court's role is not to hear all new cases filed, as they typically focus on significant cases that address pressing legal questions or conflicts in the interpretation of law. Additionally, dismissing all lower court decisions is not the function of the Supreme Court; rather, it may uphold, modify, or overturn specific lower court rulings based on their findings during the review process. Managing municipal court procedures is not within the purview of the Supreme Court, as this responsibility usually falls to lower-level courts or administrative bodies. Thus, the emphasis on reviewing and ruling on appeals is central to the Supreme Court's role in the judicial system.