Final answer:
The nurse should use a Venturi mask to deliver a precise oxygen level to the patient. It is designed for controlled delivery by mixing it with room air for precise concentrations.
Step-by-step explanation:
To administer oxygen to a patient with a precise oxygen level prescribed, the nurse should select the Venturi mask. This system is specifically designed to deliver a controlled amount of oxygen by mixing it with room air to provide the patient with a precise oxygen concentration. Other devices such as a Nasal cannula or a Simple face mask without inflated reservoir bag deliver less precise concentrations, and a Plastic face mask with inflated reservoir bag is typically reserved for higher concentrations of oxygen but with less precision than a Venturi mask.