Use the Sign Test to Test the Indicated Claim

Essay

Use the sign test to test the indicated claim. An instructor gives a test before and after a lesson
and results from randomly selected students are given below. At the 0.05 level of significance,
test the claim that the lesson has no effect on the grade. Use the sign test. $$\begin{array} { l l l l l l l l l l l l l l l l } \text { Before } & 54 & 61 & 56 & 41 & 38 & 57 & 42 & 71 & 88 & 42 & 36 & 23 & 22 & 46 & 51 \\\hline \text { After } & 82 & 87 & 84 & 76 & 79 & 87 & 42 & 97 & 99 & 74 & 85 & 96 & 69 & 84 & 79\end{array}$$