The PTA at Central High School is concerned that students who graduate from the school do not score as well on mathematics achievement tests, on average, as do students from other schools in the district. To address their concerns, the school principal randomly selects 15 students from the graduating class and administers the standardized mathematics achievement test used in that school district. The means core for graduating students in the school district is 98. The scores of the 15 students from Central High are as follows:
105 98 101 110 96 103 104 101
98 105 112 95 105 100 108
(a) State formally the hypotheses necessary to conduct a nondirectional test.
(b) Complete the test at the .05 level of significance and state your conclusion.
