A Teacher Finds That Final Grades in the Statistics Department $40 \%$

question 47

Multiple Choice

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. Calculate the chi-square test statistic $\chi ^ { 2 }$ used to determine if the grade distribution for the department is different than expected. Use $\alpha = 0.01$ .
$\begin{array}{l|ccccc}\text { Grade } & \text { A } & \text { B } & \text { C } & \text { D } & \text { F } \\\hline \text { Number } & 42 & 36 & 60 & 14 & 8\end{array}$

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

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