21. Ready for College? The ACT is a college entrance exam. In NW addition to administering this exam, researchers at ACT gauge high school students' readiness for college-level sub jects. For example, the mean ACT score of all students who took the exam in 2007 was 21.2, with a standard deviation of 4.9. ACT recommends that students who plan to attend col- lege take a minimum set of core mathematics courses. This core is 1 year of credit each in Algebra I. Algebra II, and Geometry. A random sample of 200 students who completed at least this core set of mathematics courses resulted in a mean score of 21.9 on the 2007 ACT. (a) State the appropriate null and alternative hypotheses to assess whether students score better on the ACT when they take the core mathematics curriculum. (b) Use the classical or P-value approach at the = 0.05 level of significance to test the hypothesis in part (a). (c) Write a conclusion based on your results to part (b).
21. Ready for College? The ACT is a college entrance exam. In NW addition to administering this exam, researchers at ACT gauge high school students' readiness for college-level sub jects. For example, the mean ACT score of all students who took the exam in 2007 was 21.2, with a standard deviation of 4.9. ACT recommends that students who plan to attend col- lege take a minimum set of core mathematics courses. This core is 1 year of credit each in Algebra I. Algebra II, and Geometry. A random sample of 200 students who completed at least this core set of mathematics courses resulted in a mean score of 21.9 on the 2007 ACT. (a) State the appropriate null and alternative hypotheses to assess whether students score better on the ACT when they take the core mathematics curriculum. (b) Use the classical or P-value approach at the = 0.05 level of significance to test the hypothesis in part (a). (c) Write a conclusion based on your results to part (b).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Please help step by step with explanation for Program R (CS) with final code for understanding thank you.
Transcribed Image Text:Problem#4
21. Ready for College? The ACT is a college entrance exam. In
NW addition to administering this exam, researchers at ACT
gauge high school students' readiness for college-level sub
jects. For example, the mean ACT score of all students who
took the exam in 2007 was 21.2, with a standard deviation of
4.9. ACT recommends that students who plan to attend col-
lege take a minimum set of core mathematics courses. This
core is 1 year of credit each in Algebra I. Algebra II, and
Geometry. A random sample of 200 students who completed
at least this core set of mathematics courses resulted in a
mean score of 21.9 on the 2007 ACT.
(a) State the appropriate null and alternative hypotheses to
assess whether students score better on the ACT when
they take the core mathematics curriculum.
(b) Use the classical or P-value approach at the a = 0.05
level of significance to test the hypothesis in part (a).
(c) Write a conclusion based on your results to part (b).
Answers: Reject H0: p-value 0.02 < 0.05
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