One way to measure employee satisfaction is to see how long an employee stays employed with a company. A large
corporation has three factories located in similar areas of the country. Although the corporation tries to maintain uniformity in management style, working conditions, and employee relations at its various factories, the corporation realizes that differences may exist among factories. To study whether or not that is true, employee records are randomly selected at each of the three factories, and the length of employee service with the company is recorded. A summary of the data is below:
FACTORY 1 2 3
SAMPLE SIZE 14 22 16
SSTR = 424.6 SSE = 3570
At the 5% level of significance, does the average length of employee service differ across the three factories?