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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 11

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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%;F,5%5 \% ; F , 5 \% . At the end of a randomly selected semester, the following number of grades were recorded. Calculate the chi-square test statistic χ2\chi ^ { 2 } to determine if the grade distribution for the department is different than expected. Use α=0.01\alpha = 0.01 .
 Grade  A  B  C  D  F  Number 364260814\begin{array}{l|ccccc}\text { Grade } & \text { A } & \text { B } & \text { C } & \text { D } & \text { F } \\\hline \text { Number } & 36 & 42 & 60 & 8 & 14\end{array}


Definitions:

Variable Overhead Efficiency Variance

The difference between the actual variable overhead incurred and the standard cost of variable overhead allocated for the actual production level, often driven by efficiency in using the variable overhead resources.

Variable Overhead Rate Variance

The difference between the actual variable overhead incurred and the standard cost allocated, based on the actual amount of the allocation base used.

Supplies

Materials and items used in the daily operations of a business that do not directly become part of the final product.

Flexible Budget

A budget that modifies based on fluctuations in activity levels or volume.

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