35C.5A  Arbitration.
  In addition to the remedies provided in sections 35C.4 and 35C.5, a person belonging to a class of persons qualifying for a preference may submit any refusal to allow a preference, or any reduction of the person’s salary as described in section 35C.4, to arbitration within sixty days after written notification of the refusal or reduction. Within ten days after any submission, an arbitrator shall be selected by a committee that includes one member chosen by the person refused preference, one member chosen by the appointing officer, board, or person, and one member who shall be a disinterested party selected by the other two members of the committee. A list of qualified arbitrators may be obtained from the American arbitration association or other recognized arbitration organization or association. The decision of the arbitrator shall be final and binding on the parties.
99 Acts, ch 180, §12