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A statistics tutor wants to assess whether her remedial tutoring has been effective for her five students. Using a pre-post design, she records the grades

A statistics tutor wants to assess whether her remedial tutoring has been effective for her five students. Using a pre-post design, she records the grades for a group of students prior to and after receiving her tutoring. The grades recorded are given in the table.

Test whether or not her tutoring is effective at a .05 level of significance. State the value of the test statistic and the decision to retain or reject the null hypothesis.

Compute effect size using estimated Cohen's d.

Tutoring

Before After
2.4 3.0
2.5 2.8
3.0 3.5
2.9 3.1
2.7 3.5

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