The PTA at a high school wants to know if students who graduate from the school score similarly on achievement tests in mathematics to those of students from other schools in the school district. For this, the school principal randomly selects 15 students from the graduating class and administers the standardized math achievement test used in the school district. The district's graduating average is 98. The scores of the 15 selected students at the school are as follows: 105, 98, 101, 110, 96, 103, 104, 101, 98, 105, 112, 95, 105, 100, 108. Perform the corresponding hypothesis test using .05 as the significance level. (Each of the 6 steps is worth 2 points for a total of 12 points.)