A Statistics Course at a Large University Is Taught in Each

question 81

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. Can we conclude at the 5% significance level that the variance of semester 2 student's final marks is greater than 150?

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Definitions:

Sufficient Condition

A condition or set of conditions that guarantees the occurrence or the truth of something else but is not always necessary for it to happen.

Electoral College

A body of electors established by the United States Constitution, tasked with electing the president and vice president of the country.

Disconfirming Instances

Instances or examples that challenge or falsify a hypothesis or theory.

Confirmation Bias

The inclination to seek out, understand, prefer, and remember information in a manner that corroborates an individual's existing beliefs or theories.