A Random Sample of 11 Third Year Medical School Students

Essay

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 non-normal distributions. $$\begin{array} { c c c } \text { Student } & \text { Written exam score } & \text { Oral exam score } \\1 & 60 & 55 \\2 & 72 & 78 \\3 & 33 & 60 \\4 & 89 & 87 \\5 & 61 & 79 \\6 & 65 & 82 \\7 & 25 & 41 \\8 & 80 & 58 \\9 & 92 & 95 \\10 & 48 & 64 \\11 & 65 & 70\end{array}$$
-The medical examination board wants to know if the oral exam scores are higher than the written exam scores.State the appropriate hypotheses for this problem.