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. $$\begin{array} { | l l l l l l l l l l l l l l l l } \hline \text { Before } & 54 & 61 & 56 & 41 & 38 & 57 & 42 & 71 & 88 & 42 & 36 & 23 & 22 & 46 & 51 \\\text { After } & 82 & 87 & 84 & 76 & 79 & 87 & 42 & 97 & 99 & 74 & 85 & 96 & 69 & 84 & 79\end{array}$$