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:

Collenchyma

Living cells with moderately but unevenly thickened primary cell walls; collenchyma cells help support the herbaceous plant body.

Xylem

Xylem is the type of plant tissue responsible for the transport of water and nutrients from the roots to the leaves and stems, playing a critical role in plant vascular systems.

Periderm

The outer bark of woody stems and roots; composed of cork cells, cork cambium, and cork parenchyma, along with traces of primary tissues.

Mature Vessel Elements

Components of the xylem in plants that form part of a continuous tube through which water can move.