Conn. Gen. Stat. § 10-63s

(b) As herein used in subsection (a) of section 10-46 and sections 10-63j to 10-63t , inclusive, “weighted vote” means that the voting power on the regional board shall be distributed among the members in such a manner that each member shall have a weight attached to such member's vote, or shall be entitled to cast a number of votes, equal to the proportion, within permissible deviant limits consistent with federal constitutional standards, that the population of such member's town bears to the total population of the entire school district, with members on the board from each town dividing the weight or the number of votes accorded to that town equally among them.

(c) If within three months after the Commissioner of Education has specified the date after which the regional board can act only by weighted vote, a plan of representation has not been established for the regional school district, the State Board of Education shall establish a plan of representation for that regional school district and file it with the town clerk of each participating town. Said plan shall have the full force of law and shall remain in effect until a plan of representation has been adopted by the towns within the regional school district in accordance with the provisions of subsection (a) of section 10-46 and sections 10-63j to 10-63t , inclusive.