An education specialist is considering the use of instructional material on compact discs for a special class of third-grade students with reading disabilities. Students in this class are given a standardized test in May of the school year, and μ1 is the average score obtained on these tests after many years of experience. Let μ2 be the average score for students using the discs, and assume that high scores are desirable.
(a) What null hypothesis should the education specialist use?
(b) What alternative hypothesis should be used if the specialist does not want to adopt the new discs unless they improve the standardized test scores?
(c) What alternative hypothesis should be used if the specialist wants to adopt the new discs unless they worsen the standardized test scores?