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?

---

Definitions:

Dishonest

Dishonesty entails the act of being untruthful or deceptive in intentions or actions.

Race-car Driver

A professional athlete who competes in motorsport racing, driving high-speed vehicles in competitions.

Caring Father

A paternal figure who shows love, support, and concern for the well-being of their children.

Busy Executive

A high-ranking professional who is often preoccupied with numerous responsibilities and tasks.