Employee satisfaction

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                     3SAMPLE SIZE                     14                   22                   16SSTR = 424.6                                SSE = 3570At the 5% level of significance, does the average length of employee service differ across the three factories?