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

question 33

Essay

Two students,Mary and Joanna,in a Statistics class are 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:

Histamine

A compound involved in local immune responses, regulating physiological function in the gut and acting as a neurotransmitter.

Sociocultural

Pertains to the interaction of social and cultural elements in society.

Situational

Pertaining to or determined by external conditions or situations, often implying a temporary state.

Maturational

Pertaining to the process of maturing or reaching full development.