A Company Compared the Variance of Salaries for Employees Who

question 9

Essay

A company compared the variance of salaries for employees who have been employed for 5 years or less with employees who have been employed for 10 years or more. They randomly selected 21 employees with 5 years or less experience and 15 employees with 10 years or more experience. The standard deviation for the group with 5 years or less experience was $2,225; the standard deviation for the group with 10 years or more experience was $1,875. What is the F test statistic for the hypothesis test?

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Definitions:

Standard Deviation

A measure of the dispersion or variability around the mean of a set of data points, often used to quantify risk in finance.

Defined Contribution Plan

A retirement plan where the amount of the retirement benefits is determined by the contributions to the plan and the performance of the investments.

Risk-free Return

The theoretical return on an investment with zero risk, often represented by the yield on government bonds.