A Statistics Course at a Large University Is Taught in Each

question 18

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. There is a rumor going around the university that students with a higher IQ are enrolled in the semester 1 statistics course because they tend to be students enrolled in the degree with the higher entrance score for university. Can it be concluded at the 5% significance level that semester 1 students have a higher average final mark than semester 2 students? Assume that the population variances are unknown and equal.

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Definitions:

Total Cost

The complete sum of expenses associated with a product or project, including both direct and indirect costs.

Information Flows

The movement of information between entities through various channels and methods, essential for decision-making and operations in organizations.

Internal Functions

Operations or activities that are carried out within an organization rather than outsourced to external parties.

External Sources

Information or resources obtained from outside an organization or individual's immediate environment.