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A Statistics Course at a Large University Is Taught in Each

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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. 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 and interpret a 90% confidence interval of the ratio of population variances of final student marks from semester 1 and semester 2. Estimate and interpret a 90% confidence interval of the ratio of population variances of final student marks from semester 1 and semester 2.


Definitions:

Carbon Dioxide

A colorless, odorless gas composed of one carbon and two oxygen atoms, widely known for its role in the carbon cycle and as a greenhouse gas.

Water

A clear, colorless, odorless, and tasteless liquid, composed of hydrogen and oxygen (H2O), essential for most plant and animal life and the most widely used solvent.

Glucose

A simple sugar that is an important energy source in living organisms and is a component of many carbohydrates.

Photosynthesis

The process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water.

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