Selection of Arbiter - From Federal Mediation and Conciliation Service. The parties shall jointly request the Federal Mediation and Conciliation Service to submit a panel of seven (7) arbiters. Such requests shall state the general nature of the case and ask that the nominees, be qualified to handle the type of case involved. When notification of the names of the panel of seven (7) arbiters is received, the parties in turn shall have the right to strike a name from the panel until only one name remains. The right to strike the first name shall be determined by lot. The remaining person shall be the arbiter.