A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course.The results are given below.Do the data suggest that the mean score after the course differs from the mean score before the course? Perform a paired t-test at the 5% significance level. 
Definitions:
Independent
Not influenced by or contingent on something else; in statistics, two events are independent if the occurrence of one does not affect the probability of the other.
Organic Product
A chemical compound or substance that has been synthesized through an organic reaction, which can include a wide variety of chemical species.
Reaction
A process in which one or more substances, the reactants, are converted to one or more different substances, the products, via a chemical change.
Dilute Acid
An acid solution that has a low concentration of hydrogen ions compared to its amount of solvent, typically water.
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