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

question 25

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 recordec Find the rejection region 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) \(\chi ^ { 2 } > 11.143\)
• B) \(\chi ^ { 2 } > 9.488\)
• C) \(\chi ^ { 2 } > 13.277\)
• D) \(\chi ^ { 2 } > 7.779\)

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Definitions:

Parental Fitness

The genetic contribution of parents to the next generation's gene pool, usually measured by the number of offspring that survive to reproductive age.

Extrinsic Mortality

The death rate from external factors, outside the organism's control, such as predation or accidents, as opposed to intrinsic factors like aging.

Mutations

Permanent alterations in the DNA sequence of an organism's genome, which can lead to diversity within species and potentially new species over time.

Aging

The complex biological process of getting older, characterized by a gradual decline in physical and cognitive functions.