Two Students,Mary and Joanna,are in a Statistics Class Working Hard

question 50

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:

Greatest Amount

The highest value or quantity attainable or recorded.

Discriminatory Behaviour

Actions, policies, or environments that distinguish or segregate individuals on the basis of group membership, such as race, gender, or religion, leading to unequal treatment or opportunities.

Prejudiced Attitudes

Biased opinions or feelings toward members of specific groups, often based on stereotypes rather than personal experience.

LaPiere

A reference to Richard LaPiere, a sociologist known for his studies on attitudes and social behaviors, particularly regarding prejudice and discrimination.