EXERCISE 3 [15pt] A random sample of 86 eighth-grade students' national mathematics assessment test scores has a mean score of 287. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 285. Assume that the population standard deviation is 38. At a = 0.08, is there enough evidence to support the administration's claim? Use the Rejection Region Method [Use CRITICAL VALUES and region to decide NOT the P_VALUE] and your TI 84/ Technology to perform this test.