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 |