When administering chest compressions during CPR, you should aim for a speed of 100-120 compressions a minute. This recommendation is consistent with the guidelines provided by major health organizations, such as the American Heart Association (AHA) and the European Resuscitation Council. It's also important to push hard and deep, allowing the chest to recoil completely after each compression. Remember to ensure that the compressions are at a depth of at least 2 inches (5 cm) for adults and to minimize interruptions in chest compressions.