Two Students, Mary and Joanna, Are in a Statistics Class

question 64

Essay

Two students, Mary and Joanna, are in a statistics class working hard on the consistency of their performance in the weekly class tests. In particular, they are hoping to bring down the variance of their test scores. Their professor believes that the students are not equally consistent in their tests. Over a 12-week period, the test scores of these two students are shown below. Assume that the two samples are drawn independently from normally distributed populations. a. Develop the hypotheses to test whether the two students differ in consistency.
B) Use the critical value approach to test the professor's claim at α = 0.05.

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Definitions:

Intentional Behavior

Actions that are performed with awareness and purpose, often directed towards achieving a specific goal.

Instinctual Behavior

Actions or reactions that are performed without conscious thought, driven by inherent, biological predispositions.

Mental Activity

The operations of the mind involving thinking, understanding, learning, and remembering.

Science of Behavior

The systematic study of the actions and reactions of humans and animals in response to external or internal stimuli.