In: Statistics and Probability
A fruit juice company sells a glass container filled with 24 ounces of cranapple juice. Inspectors are concerned about the consistency of volume of fill in these containers. Every 2 hours for 3 days of production, a sample of five containers is randomly selected and the volume of fill is measured. The results follow. Use this information to construct x¯ and R charts.
| Sample 1 | Sample 2 | Sample 3 | Sample 4 | 
| 24.05 | 24.01 | 24.03 | 23.98 | 
| 24.01 | 24.02 | 23.95 | 24.00 | 
| 24.02 | 24.10 | 24.00 | 24.01 | 
| 23.99 | 24.03 | 24.01 | 24.01 | 
| 24.04 | 24.08 | 23.99 | 24.00 | 
| Sample 5 | Sample 6 | Sample 7 | Sample 8 | 
| 23.97 | 24.02 | 24.01 | 24.08 | 
| 23.99 | 24.05 | 24.00 | 24.03 | 
| 24.02 | 24.01 | 24.00 | 24.00 | 
| 24.01 | 24.00 | 23.97 | 24.05 | 
| 24.00 | 24.01 | 24.02 | 24.01 | 
| Sample 9 | Sample 10 | Sample 11 | Sample 12 | 
| 24.00 | 24.00 | 24.01 | 24.00 | 
| 24.02 | 24.01 | 23.99 | 24.05 | 
| 24.03 | 24.00 | 24.02 | 24.04 | 
| 24.01 | 24.00 | 24.03 | 24.02 | 
| 24.01 | 24.00 | 24.01 | 24.00 | 
| Sample no. | Sample mean | Sample range | 
| 
 1  | 
24.02 | 0.06 | 
| 2 | 24.05 | 0.09 | 
| 3 | 24 | 0.08 | 
| 4 | 24 | 0.03 | 
| 5 | 24 | 0.05 | 
| 6 | 20.02 | 0.05 | 
| 7 | 24 | 0.05 | 
| 8 | 24.03 | 0.08 | 
| 9 | 24.01 | 0.03 | 
| 10 | 24 | 0.01 | 
| 11 | 24.01 | 0.04 | 
| 12 | 24.02 | 0.05 | 
| Total | 288.19 | 0.62 | 


