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

Essay

A teacher finds 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 grades were recorded. Determine if the grade distribution for the department is different than expected. Use $\alpha = 0.01$ $$\begin{array} { l | c c c c c } \text { Grade } & \text { A } & \text { B } & \text { C } & \text { D } & \text { F } \\\hline \text { Number } & 36 & 42 & 60 & 14 & 8\end{array}$$