Grade Distribution
a Professor Would Like to Test to See

Essay

Grade distribution
A professor would like to test to see if the grade distribution for male and female students are the same.The following table shows the distribution of grades for 1450 students.
$$\begin{array} { | c | c | c | c | c | c | c } \hline & \text { A } & \text { B } & \mathbf { C } & \mathbf { D } & \mathbf { F } & \text { Tatal } \\\hline \text { Male } & 124 & 192 & 212 & \mathbf { 8 7 } & 15 & \mathbf { 6 3 0 } \\\hline \text { Female } & 195 & 238 & 24 \mathrm { D } & 120 & 27 & \mathbf { 8 2 0 } \\\hline \text { Tatal } & 319 & 430 & 452 & 207 & 42 & 1450 \\\hline\end{array}$$
-Using $\alpha$ = 0.05,state the decision rule in terms of the critical value.