Question: An educator designed a reasoning skills course.  9 students were selected and given a pretest to then determine their reasoning abilities.  After completing the course, the same students were given an equivalent form of the test to see whether their reasoning skills had improved.  The data are shown here.  Significance level=0.05, did the course improve their reasoning skills?

Student 1        2          3          4          5          6          7          8          9

Pretest   80      76        74        83        92        78        91        74        88

Posttest 82      78        73        85        95        79        93        78        90

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