A high school science teacher decided to give a series of lectures on current events. To determine if the lectures had any effect on student awareness of current events, an exam was given to the class before the lectures, and a similar exam was given after the lectures. The scores follow. Use a 0.05 level of significance to test the claim that the lectures made no difference against the claim that the lectures did make some difference (one way or the other).

(a) What is the level of significance? State the null and alternate hypotheses.
(b) Compute the sample test statistic. What is the sampling distribution?
(c) Find the P-value of the sample test statistic.
(d) Conclude the test.
(e) Interpret the conclusion in the context of the application.

Student After Lectures Before Lectures 11093 75 88 56 7573 83 4 107 115 120 78 83 56 71 89 77 10 11 12 13 115 16 17 18 44 119 130 91 99 96 83 100 18 Betore Lectures 40115 101 110 90 98 76 100 109 After Lectures