A Statistics Course at a Large University Is Taught in Each

question 13

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. Estimate a 95% confidence interval for the difference in the proportions of students who received a high distinction in semester 1 to semester 2.

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Definitions:

Organizational Process Model

A framework describing how organizations transform inputs into outcomes through a series of processes and activities.

Governmental Politics Model

A framework suggesting that government decisions are the result of bargaining and power plays among various stakeholders, often reflecting their personal interests.

Non-native Species

Species that have been introduced into an environment where they are not naturally found, often leading to ecological disruptions.

Invasions

The act of entering a place in large numbers, especially when involving a change in the ecosystem by non-native species, or the act of military forces entering another country.