The ACT is a college entrance exam. ACT has determined that a score of 22 on the mathematics portion of the ACT suggests that a student is ready for college-level mathematics. To achieve this goal, ACT recommends that students take a core curriculum of math course: Algebra 1, Algebra 2, and Geometry. Suppose a random sample of 200 students who completed this core set of courses results in a mean ACT math of 22.6 with a standard deviation of 3.9. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 22 on the math portion of the ACT? a) State the appropriate null and alternative hypotheses. b) Use the classical and p-value approach at the = 0.05 level of significance to test the hypotheses in part (a). c) Write a conclusion based on your result to part (b)