The following positions set forth in this chapter shall be exempt from Chapter 59 of this title:
(1) Secretary of Labor;
(2) Director of Employment and Training;
(3) Director of Industrial Affairs;
(4) Director of Unemployment Insurance;
(5) Director of Vocational Rehabilitation;
(6) Chief of the Office of Occupational and Labor Market Information; and
(7) Executive Director of the Workforce Investment Board.