The assistant principal at Honey Island elementary school has just learned of a new method of teaching arithmetic to second graders. In order to see whether the new method is better than the traditional method, she selects 30 students at random and assigns them to Mrs. Mathis, who she knows is a good arithmetic teacher. Based on the students' standardized test scores, the assistant principal matches the students in terms of intellectual ability, forming 15 pairs. Mrs. Mathis teaches arithmetic by the traditional method to one member of each pair and uses the new method with the other 15 students. Both groups receive equal amounts of instruction. Which member of each pair receives which instruction method is determined at random. At the end of the year, the students take the California Achievement Test. Their math scores are given in Data I5E. (a) State formally the null and alternative hypotheses necessary to conduct a non directional test. (b) Complete the test using = .05, and state your conclusion. (c) Calculate effect size, g.