You cannot major in Anesthesiology at a community college like Jones Community College. Anesthesiology is a medical specialty requiring a four-year undergraduate degree (often pre-med), four years of medical school (MD or DO), and then a four-year residency in anesthesiology. Community colleges provide associate's degrees, which are not sufficient for medical school admission.
To become an anesthesiologist, you would need to major in a field like biology, chemistry, or a related science at a four-year university, then apply to and successfully complete medical school and an anesthesiology residency.