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S O C A school system has assigned several hundred "chronic and severe underachievers” to an alternative educational experience. To assess the program, a random sample of 35 has been selected for comparison with all students in the system. a. In terms of GPA, did the program work? Systemwide GPA Program GPA μ = 2.47 X ¯ = 2.55 s = 0.70 N = 35 b. In terms of absenteeism (number of days missed per year), what can be said about the success of the program? Systemwide Program μ = 6.137 X ¯ = 4.78 s = 1.11 N = 35 c. In terms of standardized test scores in math and reading, was the program successful? Math Test--Systemwide Math Test--Program μ = 103 X ¯ = 106 s = 2.0 N = 35 Reading Test--Systemwide Reading Test--Program μ = 110 X ¯ = 113 s = 2.0 N = 35 ( HINT. Note the wording of the research questions. Is a one-tailed test justified? Is the program a success if the students in the program are no different from students systemwide? What if the program students were performing at lower levels? If a one tailed test is used, what form should the research hypothesis take? Where will the critical region begin? )

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Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836
BuyFind

Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

Solutions

Chapter
Section
Chapter 7, Problem 7.8P
Textbook Problem

S O C A school system has assigned several hundred "chronic and severe underachievers” to an alternative educational experience. To assess the program, a random sample of 35 has been selected for comparison with all students in the system.

a. In terms of GPA, did the program work?

Systemwide GPA Program GPA
μ = 2.47 X ¯ = 2.55 s = 0.70 N = 35

b. In terms of absenteeism (number of days missed per year), what can be said about the success of the program?

Systemwide Program
μ = 6.137 X ¯ = 4.78 s = 1.11 N = 35

c. In terms of standardized test scores in math and reading, was the program successful?

Math Test--Systemwide Math Test--Program
μ = 103 X ¯ = 106 s = 2.0 N = 35
Reading Test--Systemwide Reading Test--Program
μ = 110 X ¯ = 113 s = 2.0 N = 35

(HINT. Note the wording of the research questions. Is a one-tailed test justified? Is the program a success if the students in the program are no different from students systemwide? What if the program students were performing at lower levels? If a one tailed test is used, what form should the research hypothesis take? Where will the critical region begin?)

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