Chapin Manufacturing Company operates 24 hours a day five da
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 0.05 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?
| 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 0.05 significance level, can we conclude there is a difference in the mean production rate by shift or by employee? | 
Solution
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For treatments: Reject Ho if F >4.46 (from F table)
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For blocks: Reject Ho if F>3.84 (from F table)
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There is no difference in the mean production rate.
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There is no difference in the mean production rate.
| ANOVA table | |||||
| Source | SS | df | MS | F | p-value | 
| Treatments | 93.73 | 2 | 46.867 | 1.27 | .3323 | 
| Blocks | 151.60 | 4 | 37.900 | 1.03 | .4498 | 
| Error | 295.60 | 8 | 36.950 | ||
| Total | 540.93 | 14 | 

