A Statistics Course at a Large University Is Taught in Each

question 85

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 1 student's final marks is greater than 150?

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Definitions:

Through

Moving in one side and out of the other side of (an opening, channel, or location), indicating motion from one end or side to the other.

Between

Referring to a position or space that separates two points, objects, or entities.

Complete

Having all the necessary or appropriate parts; fully carried out; thorough.

Decompensation

A failure of the body's compensatory mechanisms to maintain functional stability, leading to worsening symptoms or the development of disease states.