(a) If, in a written agreement to arbitrate, a method of appointing an arbitrator or arbitrators or an umpire has been provided, the method shall be followed.

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(b) If no method is provided therein, or if a method is provided and any party thereto fails to use the method, or if for any other reason there is a failure in the naming of an arbitrator or arbitrators or an umpire, or if any arbitrator or umpire dies or is unable or refuses to serve, upon application by a party to the arbitration agreement, the superior court for the judicial district in which one of the parties resides or, in a controversy concerning land, for the judicial district in which the land is situated or, when the court is not in session, any judge thereof, shall appoint an arbitrator or arbitrators or an umpire, as the case may require. A person so appointed an arbitrator or umpire shall act under any arbitration agreement with the same force and effect as if he had been specifically named or referred to therein. Unless otherwise provided in the agreement, the arbitration shall be by a single arbitrator.

(c) An application under this section and the proceedings thereon shall conform to the application and proceedings provided for in section 52-410, except that such changes shall be made in the complaint as may be necessary to correctly and concisely state the plaintiff‘s claim.