Final answer:
The phlebotomist should collect each set of blood cultures from different sites on the patient's arms, not from the same site or by using capillary samples.
Step-by-step explanation:
When a phlebotomist is performing two sets of blood cultures for a patient, the correct procedure is to collect each set from different sites. This is because using different sites can reduce the risk of contamination and provide a more accurate representation of any bacteria or fungi that may be present in the bloodstream. Therefore, the technician should collect one set from the patient's left arm and one from a different site on the same arm, or from another arm, but not from the same exact site or from capillary samples when multiple sets of blood cultures are required.