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:

Capital Markets

The financial markets for buying and selling equity and debt instruments, facilitating the raising of capital by companies and governments.

Enterprise Value

A measure of a company's total value, factoring in equity, debt, and cash on the balance sheet.

R&D Stage

The phase in product development or business planning focusing on research and development to innovate or improve offerings.

Proprietary Advantage

An edge a company gains by keeping its innovations, proprietary processes, or data secret to prevent others from copying or using them without permission.