A Statistics Course at a Large University Is Taught in Each

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.