The Dean of a Faculty of Business in Victoria Believes

Essay

The dean of a faculty of business in Victoria believes that students who do well in 'soft' courses like organisational behaviour do poorly in 'hard' courses like business statistics. In order to test his belief, he takes a random sample of 10 students and records their test grades in organisational behaviour and statistics. The results are shown below. Do these data provide sufficient evidence at the 5% significance level to support the dean's claim? $$\begin{array} { | c | c | c | } \hline \text { Student } & \begin{array} { c } \text { Organisational } \\\text { Behaviour Grade }\end{array} & \begin{array} { c } \text { Business Statistics } \\\text { Grade }\end{array} \\\hline 1 & \mathrm { C } & \mathrm { A } \\\hline 2 & \mathrm { D } & \mathrm { A } \\\hline 3 & \mathrm {~A} & \mathrm { C } \\\hline 4 & \mathrm {~B} & \mathrm { C } \\\hline 5 & \mathrm {~A} & \mathrm { D } \\\hline 6 & \mathrm { C } & \mathrm { B } \\\hline 7 & \mathrm {~B} & \mathrm { C } \\\hline 8 & \mathrm {~A} & \mathrm { C } \\\hline 9 & \mathrm { C } & \mathrm { A } \\\hline 10 & \mathrm {~B} & \mathrm { C } \\\hline\end{array}$$