Assignment:
Continue with the data set in Table, representing the lengths of broccoli trees after cutting.
a. Find the center line for the R chart.
b. Find the control limits for the R chart.
c. Draw the R chart.
d. Comment on what you see in the R chart. In particular, is the variability of this process in control? How do you know?
TABLE:Lengths of Broccoli Trees:
20 Samples of Four Stems Each |
|
Individual Measurements within Each Sample |
|
| Sample Identification Number |
1 |
2 |
3 |
4 |
| 1 |
8.6 |
8.47 |
8.44 |
8.51 |
| 2 |
8.43 |
8.42 |
8.62 |
8.46 |
| 3 |
8.65 |
8.32 |
8.65 |
8.51 |
| 4 |
8.39 |
8.54 |
8.5 |
8.41 |
| 5 |
8.49 |
8.53 |
8.61 |
8.46 |
| 6 |
8.63 |
8.46 |
8.64 |
8.54 |
| 7 |
8.47 |
8.63 |
8.54 |
8.55 |
| 8 |
8.52 |
8.5 |
8.31 |
8.63 |
| 9 |
8.35 |
8.43 |
8.51 |
8.61 |
| 10 |
8.31 |
8.65 |
8.46 |
8.4 |
| 11 |
8.58 |
8.43 |
8.55 |
8.45 |
| 12 |
8.28 |
8.57 |
8.58 |
8.48 |
| 13 |
8.45 |
8.52 |
8.52 |
8.54 |
| 14 |
8.36 |
8.48 |
8.41 |
8.57 |
| 15 |
8.56 |
8.6 |
8.58 |
8.51 |
| 16 |
8.39 |
8.47 |
8.59 |
8.41 |
| 17 |
8.53 |
8.58 |
8.54 |
8.42 |
| 18 |
8.78 |
8.52 |
8.46 |
8.5 |
| 19 |
8.48 |
8.49 |
8.74 |
8.59 |
| 20 |
8.46 |
8.47 |
8.7 |
8.32 |
Provide complete and step by step solution for the question and show calculations and use formulas.