A University Lecturer Wants to Investigate If the Variance of Final

question 17

Essay

A university lecturer wants to investigate if the variance of final marks of students in two of her courses differs. She takes a random sample of 25 students from the mathematics course she lectures and finds the student's final marks had a variance of 5. She takes a random sample of 13 students from the statistics course she lectures and finds the variance of 10. Assuming that the final grades of students in her mathematics and in her statistics course are normally distributed, is there enough evidence at the 5% significance level for this lecturer to infer that the two population variances differ?

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Definitions:

Rescind Agreement

To legally cancel or revoke an agreement, usually due to issues such as fraud, mistake, or breach of contract.

Economic Interests

Economic interests refer to the financial stakes or concerns that individuals, companies, or countries have in the outcome of a specific transaction, policy, or economic activity.

Misrepresentation

A false statement of fact made by one party to another party, which induces that other party to enter into a contract.

Convicted

Being found guilty of a crime by a court of law or through a guilty plea.