Which of the following is NOT a power granted to Congress?

The correct choice identifies a power that is not granted to Congress. Appointing Supreme Court Justices is a responsibility of the President, with the advice and consent of the Senate. This means that while Congress plays a role in the confirmation process of Justices, it does not have the authority to directly appoint them.

In contrast, the powers to coin money, declare war, and levy taxes are specifically enumerated in the Constitution. Congress has the authority to coin money as a means of regulating the nation's currency, to declare war as part of its role in national defense and foreign policy, and to levy taxes to generate revenue for government operations. These powers establish Congress's significant role in legislative matters concerning the nation’s financial, military, and economic framework.