Sec. 5. (a) The board may hire, fix the compensation of, review the performance of, and dismiss, subject to the governor's approval, a chief executive officer who:
(1) is the director of state museums;
(2) is the chief administrative officer of the corporation; and
(3) supervises and directs the work of the state museums' staffs and contractors.
(b) The chief executive officer may hire, fix the compensation of, review the performance of, and dismiss employees of the corporation.