A Teacher Figures That Final Grades in the Chemistry Department $25 \% ; B , 25 \% ; C , 40 \% ;$

Short Answer

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