A Random Sample of 11 Third-Year Medical School Students Took

Multiple Choice

A random sample of 11 third-year medical school students took a comprehensive written exam as well as a comprehensive oral exam.The scores on both exams are given below.It is established that both test scores have highly nonnormal distributions. $$\begin{array} { c c c } \text { Student } & \text { Written exam score } & \text { Oral exam score } \\1 & 60 & 55 \\2 & 72 & 78 \\3 & 33 & 60 \\4 & 89 & 87 \\5 & 61 & 79 \\6 & 65 & 82 \\7 & 25 & 41 \\8 & 80 & 58 \\9 & 92 & 95 \\10 & 48 & 64 \\11 & 65 & 70\end{array}$$
At ? = .05,can we conclude that the oral exam scores are higher than the written exam scores?

A) Reject the null hypothesis.
B) Do not reject the null hypothesis.
$$\begin{array} { c c c c c c } \text { Student } & \text { Written exam score } & \text { Oral exam score } & d _ { i } & \left| d _ { i } \right| & \text { Rank of } \left| d _ { i } \right| \\1 & 60 & 55 & 5 & 5 & 3.5 \\2 & 72 & 78 & - 6 & 6 & 5 \\3 & 33 & 60 & - 27 & 27 & 11 \\4 & 89 & 87 & 2 & 2 & 1 \\5 & 61 & 79 & - 18 & 18 & 9 \\6 & 65 & 82 & - 17 & 17 & 8 \\7 & 25 & 41 & - 16 & 16 & 6.5 \\8 & 80 & 58 & 22 & 22 & 10 \\9 & 92 & 95 & - 3 & 3 & 2 \\10 & 48 & 64 & - 16 & 16 & 6.5 \\11 & 65 & 70 & - 5 & 5 & 3.5\end{array}$$