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A Teacher Figures That Final Grades in the Chemistry Department A,25%;B,25%;C,40%;\mathrm { A } , 25 \% ; \mathrm { B } , 25 \% ; \mathrm { C } , 40 \% ;

question 35

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A teacher figures that final grades in the chemistry department are distributed as: A,25%;B,25%;C,40%;\mathrm { A } , 25 \% ; \mathrm { B } , 25 \% ; \mathrm { C } , 40 \% ; D, 5%;5 \% ; F, 5%5 \% . At the end of a randomly selected semester, the following number of grades were recorded. Find the critical value χ02\chi _ { 0 } ^ { 2 } to determine if the grade distribution for the department is different than expected. Use α\alpha =0.01= 0.01
 Grade  A  B  C  D  F  Number 423660148\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}


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