If, upon final determination of the petition, it appears that the tax administrator’s assessment was correct, the court shall confirm the assessment; or, if incorrect, the court shall determine the proper amount of the tax, interest, and penalties. If it appears that the petitioner, by reason of the payment of the tax, interest, and penalties, is entitled to recover this money or any part of the tax, interest, and penalties, the court may order a refund with interest at the annual rate provided by § 44-1-7.1 or order a credit, as the circumstances may warrant. If a refund is ordered, it shall be paid by the general treasurer upon certification of the tax administrator with the approval of the director of the department of administration. If it appears that the state is entitled to a greater amount of tax, interest, and penalties than assessed or determined by the tax administrator and paid by the petitioner, the court shall order the payment by the petitioner of the additional amount as the court determines, and the petitioner shall immediately pay the amount to the tax administrator. A party aggrieved by a final order of the court may seek review of the order in the supreme court by writ of certiorari in accordance with the procedures contained in § 8-8-32.