An applicant shall, before being permitted to enter upon an examination, fill out an application blank giving his or her name, age, residence, college and date of graduation, references, and such other data as the State Board of Medical Examiners may require. The board may establish and charge reasonable fees for providing an application packet or a blank license application form, or both. The applicant shall make affidavit that he or she is the person he or she represents himself or herself to be and that he or she shall faithfully observe all rules governing the examination. Any member of the State Board of Medical Examiners or the supervisors of examinations appointed by the board may administer the oath prescribed. The board may refuse to examine a person whose reputation is such as to render him or her unworthy of membership in the medical profession.