A Teacher Finds That Final Grades in the Statistics Department $40 \% ; \mathrm { D } , 5 \% ; \mathrm { F } , 5 \%$

question 9

Multiple Choice

A teacher finds that final grades in the statistics department are distributed as: A, 25\%; B, 25\%; C, $40 \% ; \mathrm { D } , 5 \% ; \mathrm { F } , 5 \%$ . At the end of a randomly selected semester, the following grades were recorded. Calculate the chi-square test statistic $\chi ^ { 2 }$ used to determine if the grade distribution for the department is different than expected. Use $\alpha = 0.01$ .
$\begin{array}{l|lllll}\text { Grade } & \text { A } & \text { B } & \text { C } & \text { D } & \text { F } \\\hline \text { Number } & 42 & 36 & 60 & 8 & 14\end{array}$

• A) 6.87
• B) 5.25
• C) 3.41
• D) 4.82

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