Before approval of the roll, a notice shall be published once each week for two successive weeks in a newspaper of general circulation in the county, stating that the roll is on file and open to inspection in the office of the secretary, and fixing a time not less than fifteen nor more than thirty days from the date of the first publication of the notice, within which protests must be filed with the secretary against any assessments shown thereon, and fixing a time when a hearing shall be held by the commission on the protests. After the hearing the commission may alter any and all assessments shown on the roll and may, by resolution, approve it, but if an assessment is raised, a new notice, similar to the first, shall be given, and a hearing had thereon, after which final approval of the roll may be made. Any person aggrieved by the assessments shall perfect an appeal to the superior court of the county within ten days after the approval, in the manner provided for appeals from assessments levied by cities of the first class. In the event such an appeal shall be taken, the judgment of the court shall confirm the assessment insofar as it affects the property of the appellant unless the court shall find from the evidence that such assessment is founded upon a fundamentally wrong basis and/or the decision of the commission thereon was arbitrary or capricious; in which event the judgment of the court shall correct, change, modify, or annul the assessment insofar as it affects the property of the appellant. In the same manner as provided with reference to cities of the first class appellate review of the judgment of the superior court may be sought, as in other cases, within fifteen days after the date of the entry of the judgment in the superior court. Engineering, office, and other expenses necessary or incident to the improvement shall be borne by the public utility district: PROVIDED, That when a municipal corporation included in the public utility district already owns or operates a utility of a character like that for which the assessments are levied hereunder, all such engineering and other expenses shall be borne by the local assessment district.