Final answer:
Members of the NC State Board of Barber Examiners are appointed by the Governor, who has the authority to appoint members to certain state boards and positions.
Step-by-step explanation:
Members of the NC State Board of Barber Examiners are appointed by the Governor. The Executive Department of a state typically includes several key positions such as the governor, lieutenant governor, comptroller of public accounts, commissioner of the General Land Office, attorney general, and the secretary of state. Except for the secretary of state, who is appointed by the governor, all others are elected positions. This structure emphasizes the governor's role in appointing members to certain state boards and commissions, reflecting the governor's influence over a variety of regulatory and administrative functions within the state.