A Teacher Finds That Final Grades in the Statistics Department

question 28

Short Answer

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. Find the rejection region used to determine if the grade distribution for the department is different than expected. Use α = 0.01. $\begin{array}{l|lllll}\text { Grade } & \text { A } & \text { B } & \text { C } & \text { D } & \text { F } \\\hline \text { Number } & 42 & 36 & 60 & 14 & 8\end{array}$

A) $\chi ^ { 2 } > 13.277$
B) $\chi ^ { 2 } > 11.143$
C) $\chi ^ { 2 } > 9.488$
D) $x ^ { 2 } > 7.779$

• A) \(\chi ^ { 2 } > 13.277\)
• B) \(\chi ^ { 2 } > 11.143\)
• C) \(\chi ^ { 2 } > 9.488\)
• D) \(x ^ { 2 } > 7.779\)

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Definitions:

Critical Thinking

The goal of critically examining and assessing a matter to reach a conclusion.

Introspection

The examination or observation of one's own mental and emotional processes.

Freudian Psychology

A branch of psychology founded by Sigmund Freud that emphasizes the importance of the unconscious mind, childhood experiences, and dream analysis in understanding human behavior.

Critical Thinking

The intellectually disciplined process of actively and skillfully conceptualizing, applying, analyzing, synthesizing, and evaluating information.