The Dean of a Faculty of Business in Victoria Believes

question 94

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? $$\begin{array} { | c | c | c | } \hline \text { Student } & \begin{array} { c } \text { Organisational } \\\text { Behaviour Grade }\end{array} & \begin{array} { c } \text { Business Statistics } \\\text { Grade }\end{array} \\\hline 1 & \text { C } & \text { A } \\\hline 2 & \text { D } & \text { A } \\\hline 3 & \text { A } & \text { C } \\\hline 4 & \text { B } & \text { C } \\\hline 5 & \text { A } & \text { D } \\\hline 6 & \text { C } & \text { B } \\\hline 7 & \text { B } & \text { C } \\\hline 8 & \text { A } & \text { C } \\\hline 9 & \text { C } & \text { A } \\\hline 10 & \text { B } & \text { C } \\\hline\end{array}$$

---

Definitions:

Resonance Form

Structures that depict individual contributors to the overall delocalization of electrons within a molecule.

Free Radical

Highly reactive atoms or molecules with unpaired electrons, capable of engaging in chemical reactions that can lead to polymerization or degradation.

Monochlorination

The chemical process of adding one chlorine atom to a molecule, often used in organic synthesis to create chlorinated compounds.

Butane

A gaseous hydrocarbon with the formula C4H10, commonly used as fuel in lighters and portable stoves.