A Statistics Course at a Large University Is Taught in Each

question 85

Essay

A statistics course at a large university is taught in each semester. A student has noticed that the students in semester 1 and semester 2 are enrolled in different degrees. To investigate, the student takes a random sample of 25 students from semester 1 and 25 students from semester 2 and records their final marks (%) provided in the table below. Excel was used to generate descriptive statistics on each sample.
Assume that student final marks are normally distributed in each semester. Can we conclude at the 5% significance level that the variance of semester 1 student's final marks is greater than 150?

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Definitions:

Equity-Financed

Pertains to the method of funding a business through selling shares to investors, thereby increasing ownership equity.

Incremental Value

The additional value created by undertaking a specific project or action, measured by the difference in a firm's value with and without the undertaking.

Outstanding Stock

The total shares of a corporation that are currently owned by all its shareholders, including shares held by institutional investors and restricted blocks held by insiders and company officers.