A Teacher Figures That Final Grades in the Statistics Department $$\alpha = 0.01$$

Essay

A teacher figures that final grades in the statistics 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 $$\alpha = 0.01$$ $$\begin{array} { l | l l l l l } \text { Grade } & \text { A } & \text { B } & \text { C } & \text { D } & \text { F } \\\hline \text { Number } & 36 & 42 & 60 & 14 & 8\end{array}$$