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 final marks between semester 1
and semester 2 students in this statistics course. Assume that the population variances are unknown
and equal.
Definitions:
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