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:

Federal Reserve

The Federal Reserve, often referred to as the Fed, is the central banking system of the United States, responsible for setting monetary policy, regulating banks, maintaining financial stability, and providing banking services to government institutions.

Federal Reserve District Banks

The 12 regional banks of the Federal Reserve System in the United States, each responsible for implementing the central bank's monetary policy within its specific district.

Federal Reserve Board

The governing body of the Federal Reserve System, responsible for overseeing U.S. monetary policy and financial institutions.

Congress

The national legislative body of a country, particularly in the United States, consisting of two houses: the Senate and the House of Representatives.