A Standard Aptitude Test Is Given to Several Randomly Selected $$\text { Mathematics } \begin{array} { l l l l l l l l l } 347 & 440 & 327 & 456 & 427 & 349 & 377 & 398 & 425\end{array}$$

Essay

A standard aptitude test is given to several randomly selected programmers, and the scores are
given below for the mathematics and verbal portions of the test. Use the sign test to test the
claim that programmers do better on the mathematics portion of the test. Use a 0.05 level of
significance. $$\text { Mathematics } \begin{array} { l l l l l l l l l } 347 & 440 & 327 & 456 & 427 & 349 & 377 & 398 & 425\end{array}$$$$\text { verbal } \begin{array} { l l l l l l l l l } 285&378&243&371&340&271&294&322&385&\end{array}$$