Each of the parties to the dispute shall, within seven (7) days of the date of the written request for arbitration, appoint an arbitrator and shall notify the other party of the appointment. These two arbitrators, within a further period of seven (7) days after their appointment, shall meet and select a Chairperson. Should the two arbitrators fail to agree upon a Chairperson within the required seven (7) days, either party may request the Manitoba Labour Board to appoint a Chairperson. Except as herein provided, the Labour Relations Act shall apply.