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

Question 66

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.  Student  Written exam score  Oral exam score 160552727833360489875617966582725418805899295104864116570\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.
 Student  Written exam score  Oral exam score didi Rank of di16055553.5272786653336027271148987221561791818966582171787254116166.5880582222109929533210486416166.5116570553.5\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}

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