An Investor Is Considering Two Types of Investment

question 6

Essay

An investor is considering two types of investment. She is quite satisfied that the expected return on investment 1 is higher than the expected return on investment 2. However, she is quite concerned that the risk associated with investment 1 is higher than that of investment 2. To help make her decision, she randomly selects seven monthly returns on investment 1 and 10 monthly returns on investment 2. She finds that the sample variances of investments 1 and 2 are 225 and 118, respectively.
Can she infer at the 5% significance level that the population variance of investment 1 exceeds that of investment 2?

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Definitions:

WTO

The World Trade Organization, an international body that deals with the rules of trade between nations, aiming to ensure that trade flows smoothly, predictably, and freely.

NAFTA

The North American Free Trade Agreement; a treaty between the United States, Canada, and Mexico that eliminated most tariffs on trade between them.

European Union

A political and economic union of 27 European countries that have agreed to follow common economic, social, and security policies.

Labor Standards

Regulations concerning the rights and welfare of workers, including minimum wage, working hours, safety, and health protections, and non-discrimination practices.