A Statistics Course at a Large University Is Taught in Each

question 71

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. (a) Determine whether these data are sufficient to infer at the 10% level of significance that the two population variances differ.
(b) Explain the decision of your test in part (a) in the context of this question.

---

Definitions:

Divinity School

An academic institution dedicated to the study of religious beliefs, practices, and ministry.

Religious Roles

The functions and responsibilities assigned to individuals within a religious context or institution.

Functionalists

Academics or theorists who perceive society as an intricate system in which its components collaborate to foster unity and stability.

Symbolic Interactionists

Scholars or theorists who study how people use symbols to create meaning and interact with one another.