(1) In addition to all other powers and duties conferred and imposed upon the state board, the state board has the following specific powers and duties:
(a) To establish, by rule, the core public health services that each county and district public health agency must provide or arrange for the provision of said services;
(b) To establish, by rule, the minimum quality standards for public health services;
(c) To establish, by rule, the minimum qualifications for county and district public health directors and medical officers;
(d) To ensure the development and implementation of a comprehensive, statewide public health improvement plan;
(e) To review all county and district public health agency public health plans, which review shall be based on criteria established by rule by the state board and against which each county or district public health plan shall be evaluated; and
(f) To establish, by rule, for the fiscal year beginning July 1, 2009, if practicable, and for each fiscal year thereafter, a formula for allocating moneys to county or district public health agencies based on input from the state department and from county or district public health agencies.