In: Statistics and Probability
| plan A | Plan B | Plan C | 
| 29 | 31 | 27 | 
| 27 | 32 | 26 | 
| 30 | 30 | 27 | 
| 27 | 33 | 27 | 
| 28 | 29 | 28 | 
A company has three manufacturing plants, and you want to determine whether there is a difference in the average age of workers at the three locations. The following data are the ages of five randomly selected workers at each plant. Perform a test to determine whether there is a significant difference in the mean ages of the workers at the three plants. Use α = 0.01. Interpret on your findings.