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

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Author:Amos Gilat
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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 aver-
age score for students using the discs, and assume that

high scores are desirable.

(a) What null hypothesis should the education special-
ist use?

(b) What alternative hypothesis should be used if the spe-
cialist does not want to adopt the new discs unless they

improve the standardized test scores?

(c) What alternative hypothesis should be used if the spe-
cialist wants to adopt the new discs unless they worsen

the standardized test scores?

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