In: Statistics and Probability
Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift. At the 0.01 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?
| Units Produced | |||
| Employee | Day | Afternoon | Night | 
| Skaff | 36 | 22 | 33 | 
| Lum | 33 | 25 | 37 | 
| Clark | 28 | 22 | 38 | 
| Treece | 39 | 24 | 27 | 
| Morgan | 31 | 22 | 36 |