A Teacher Finds That Final Grades in the Statistics Department $25 \% ; \mathrm { C } , 40 \%$

Essay

A teacher finds that final grades in the statistics department are distributed as: A, 25\%; B, $25 \% ; \mathrm { C } , 40 \%$ ; D, 5\%; F, 5\%. At the end of a randomly selected semester, the following grades were recorded. Determine if the grade distribution for the department is different than expected. Use $\alpha = 0.01$ .
$\begin{array}{l|lllll}\text { Grade } & \text { A } & \text { B } & \text { C } & \text { D } & \text { F } \\\hline \text { Number } & 36 & 42 & 60 & 8 & 14\end{array}$