In: Statistics and Probability
Steele Breakfast Foods Inc. produces a popular brand of raisin bran cereal. The package indicates it contains 25.0 ounces of cereal. To ensure the product quality, the Steele inspection department makes hourly checks on the production process. As a part of the hourly check, 4 boxes are selected and their contents weighed. The results are reported below. |
Sample | Weights | ||||||||
1 | 26.1 | 24.4 | 25.6 | 25.2 | |||||
2 | 25.2 | 25.9 | 25.1 | 24.9 | |||||
3 | 25.6 | 24.5 | 25.7 | 25.1 | |||||
4 | 25.5 | 26.8 | 25.1 | 25.0 | |||||
5 | 25.2 | 25.2 | 26.3 | 25.7 | |||||
6 | 27.0 | 24.1 | 25.5 | 23.8 | |||||
7 | 27.6 | 26.0 | 24.9 | 25.3 | |||||
8 | 24.5 | 23.1 | 23.9 | 24.7 | |||||
9 | 24.1 | 25.0 | 23.5 | 24.9 | |||||
10 | 25.8 | 25.7 | 24.4 | 27.3 | |||||
11 | 23.0 | 23.0 | 23.7 | 23.8 | |||||
12 | 24.5 | 24.9 | 23.2 | 24.2 | |||||
13 | 24.4 | 24.5 | 25.9 | 25.5 | |||||
14 | 23.1 | 23.3 | 24.4 | 24.7 | |||||
15 | 24.6 | 25.1 | 23.8 | 25.3 | |||||
16 | 24.4 | 24.4 | 22.8 | 23.4 | |||||
17 | 25.1 | 24.1 | 23.9 | 26.1 | |||||
18 | 24.5 | 24.5 | 26.0 | 26.1 | |||||
19 | 25.3 | 27.5 | 24.4 | 25.5 | |||||
20 | 24.6 | 25.3 | 25.5 | 24.4 | |||||
21 | 24.9 | 24.4 | 25.4 | 24.9 | |||||
22 | 25.7 | 24.6 | 26.8 | 26.9 | |||||
23 | 24.9 | 24.4 | 25.0 | 27.2 | |||||
24 | 25.4 | 25.9 | 27.0 | 24.9 | |||||
25 | 26.1 | 23.5 | 23.7 | 25.0 | |||||
Click here for the Excel Data File
Determine the control limits for the mean and range. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) |
Mean | = | LCL = | UCL = |
= | LCL = | UCL = | |
Is the process out of control at any time? |
Solution:
Yes the process is out of control for the mean chart as one point is lying below the lower control limit