A Test on World History Was Given to a Group

Short Answer

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.)
$\begin{array}{lll}\text { Individual }&\text { After }&\text { Befor }\\1 & 92 & 86 \\2 & 86 & 88 \\3 & 89 & 84 \\4 & 90 & 90 \\5 & 93 & 85 \\6 & 88 & 90 \\7 & 97 & 91\end{array}$
a. Give the hypotheses for this problem.
b. Compute the test statistic.
c. At 95% confidence, test the hypotheses.