The study involves 2 injections of 1.5 milligrams (mg) dulaglutide, 1 given by a pre-filled manual syringe, the other given by an auto-injector. Injections will be separated by a minimum 28-day washout period. The study will evaluate if the levels of drug in the blood are similar when given by each method. Participation in the study is likely to take approximately 7 weeks, not including screening.