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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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A New Teaching Method A large university has a college

Chapter 6, Problem 18RE

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QUESTION:

Problem 18RE

A New Teaching Method A large university has a college algebra enrollment of 5000 students each semester. Because of space limitations, the university decides to offer its college algebra courses in a self-study format in which students learn independently, but have access to tutors and other help in a lab setting.Historically, students in traditional college algebra scored 73.2 points on the final exam, and the coordinator of this course is concerned that test scores are going to decrease in the new format. At the end of the first semester using the new delivery system, 3851 students took the final exams and had a mean score of 72.8 and a standard deviation of 12.3. Treating these students as a simple random sample of all students, determine whether or not the scores decreased significantly at the α = 0.05 level of significance. Do you think that the decrease in scores has any practical significance?

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QUESTION:

Problem 18RE

A New Teaching Method A large university has a college algebra enrollment of 5000 students each semester. Because of space limitations, the university decides to offer its college algebra courses in a self-study format in which students learn independently, but have access to tutors and other help in a lab setting.Historically, students in traditional college algebra scored 73.2 points on the final exam, and the coordinator of this course is concerned that test scores are going to decrease in the new format. At the end of the first semester using the new delivery system, 3851 students took the final exams and had a mean score of 72.8 and a standard deviation of 12.3. Treating these students as a simple random sample of all students, determine whether or not the scores decreased significantly at the α = 0.05 level of significance. Do you think that the decrease in scores has any practical significance?

ANSWER:

Answer :

Step 1:  

       The coordinator of this course is concerned that test scores are going to decrease in the new format. So the claim can be written as

            The hypothesis are given by

         

          :

 

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