A psychologist would like to examine the effects of different testing methods on the final performance of college students. One group gets regular quizzes, one group gets three large exams, and the third group only gets a final exam. At the end of the course, the psychologist interviews each student to get a measure of the student’s overall knowledge of the material. Quizzes Exams Final Only 4 1 0 6 4 2 3 5 0 7 2 2   We want to know if these data indicate any significant differences among the three methods? Test with α = .05. For this problem we need to use                             [ Select ]                          ["single sample t-test", "independent sample t-test", "correlated sample t-test", "ANOVA"]            . For the Quizzes sample the T is                             [ Select ]                          ["4", "12", "20", "36"]            , for the Exams sample T is                             [ Select ]                          ["4", "12", "20", "36"]            , and for the Final Only sample T is                             [ Select ]                          ["4", "12", "20", "36"]            . The SS for the Quizzes sample is                             [ Select ]                          ["4", "10", "36", "164"]            , for the Exams sample SS is                             [ Select ]                          ["4", "10", "36", "164"]            , and for the Final Only SS is                             [ Select ]                          ["4", "10", "36", "164"]            . Therefore, our G is                             [ Select ]                          ["24", "36", "164", "258"]            .  With this information we calculate our SSbetween to be                             [ Select ]                          ["15", "16", "24", "32"]            and our MSbetween is                             [ Select ]                          ["16", "24", "32", "36"]            . Our SSwithin is                             [ Select ]                          ["16", "24", "36", "32"]            , and our MSwithin is                             [ Select ]                          ["2.08", "2.13", "2.67", "17.25"]            . Our calculated F is                             [ Select ]                          ["1.89", "2.25", "4.17", "5.99"]            . Therefore, we                             [ Select ]                          ["reject", "fail to reject"]            the null hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 22PFA
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A psychologist would like to examine the effects of different testing methods on the final performance of college students. One group gets regular quizzes, one group gets three large exams, and the third group only gets a final exam. At the end of the course, the psychologist interviews each student to get a measure of the student’s overall knowledge of the material.

Quizzes Exams Final Only
4 1 0
6 4 2
3 5 0
7 2 2

 

We want to know if these data indicate any significant differences among the three methods? Test with α = .05.

For this problem we need to use                             [ Select ]                          ["single sample t-test", "independent sample t-test", "correlated sample t-test", "ANOVA"]            . For the Quizzes sample the T is                             [ Select ]                          ["4", "12", "20", "36"]            , for the Exams sample T is                             [ Select ]                          ["4", "12", "20", "36"]            , and for the Final Only sample T is                             [ Select ]                          ["4", "12", "20", "36"]            . The SS for the Quizzes sample is                             [ Select ]                          ["4", "10", "36", "164"]            , for the Exams sample SS is                             [ Select ]                          ["4", "10", "36", "164"]            , and for the Final Only SS is                             [ Select ]                          ["4", "10", "36", "164"]            . Therefore, our G is                             [ Select ]                          ["24", "36", "164", "258"]            . 

With this information we calculate our SSbetween to be                             [ Select ]                          ["15", "16", "24", "32"]            and our MSbetween is                             [ Select ]                          ["16", "24", "32", "36"]            . Our SSwithin is                             [ Select ]                          ["16", "24", "36", "32"]            , and our MSwithin is                             [ Select ]                          ["2.08", "2.13", "2.67", "17.25"]            . Our calculated F is                             [ Select ]                          ["1.89", "2.25", "4.17", "5.99"]            . Therefore, we                             [ Select ]                          ["reject", "fail to reject"]            the null hypothesis. 

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