A test on world history was given to a group of individuals before and also after a film on the history of the world was presented. The results are given below. We want to determine if the film significantly increased the test scores. (For the following matched samples, let the difference "d" be d = after - before.) 
a.Give the hypotheses for this problem.
b.Compute the test statistic.
c.At 95% confidence, test the hypotheses.
Definitions:
Probability
The measure of the likelihood that an event will occur, expressed as a number between 0 and 1, where 1 represents certainty.
Expectancy
Expectancy, in the context of motivation theories, is the belief that one's effort will lead to desired performance and is based on past experience, self-confidence, and the perceived difficulty of the goal.
Challenging
Describes tasks or situations that are demanding and testing, requiring effort and determination to overcome.
Attainable
Something that can be achieved or reached through effort, skill, or hard work.
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