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Steele Breakfast Foods, Inc., produces a popular brand or raisin bran cereal. The package indicates it contains 25.0 ounces of cereal. To ensure the product
Steele Breakfast Foods, Inc., produces a popular brand or 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. | ||||||
1) Develop an appropriate control charts . Label the UCL and LCL with a Bolded line so you can see where the point goes out of control. | ||||||
2) What are the limits? Is the process out of control at any time? | ||||||
3) Is the process out of control at any time? | ||||||
process: | ||||||
Find the Grand Mean, Find the average of the Ranges, Create a Control chart for the Mean and a control chart for the Range. | ||||||
Label the UCL and LCL with a Bolded line so you can see where the point goes out of control. | ||||||
Sample | C1 | C2 | C3 | C4 | Mean | Range |
1 | 26.1 | 24.4 | 25.6 | 25.2 | 25.325 | 1.70 |
2 | 25.2 | 25.9 | 25.1 | 24.8 | 25.250 | 1.10 |
3 | 25.6 | 24.5 | 25.7 | 25.1 | 25.225 | 1.20 |
4 | 25.5 | 26.8 | 25.1 | 25.0 | 25.600 | 1.80 |
5 | 25.2 | 25.2 | 26.3 | 25.7 | 25.600 | 1.10 |
6 | 26.6 | 24.1 | 25.5 | 24.0 | 25.050 | 2.60 |
7 | 27.6 | 26.0 | 24.9 | 25.3 | 25.950 | 2.70 |
8 | 24.5 | 23.1 | 23.9 | 24.7 | 24.050 | 1.60 |
9 | 24.1 | 25.0 | 23.5 | 24.9 | 24.375 | 1.50 |
10 | 25.8 | 25.7 | 24.3 | 27.3 | 25.775 | 3.00 |
11 | 22.5 | 23.0 | 23.7 | 24.0 | 23.300 | 1.50 |
12 | 24.5 | 24.8 | 23.2 | 24.2 | 24.175 | 1.60 |
13 | 24.4 | 24.5 | 25.9 | 25.5 | 25.075 | 1.50 |
14 | 23.1 | 23.3 | 24.4 | 24.7 | 23.875 | 1.60 |
15 | 24.6 | 25.1 | 24.0 | 25.3 | 24.750 | 1.30 |
16 | 24.4 | 24.4 | 22.8 | 23.4 | 23.750 | 1.60 |
17 | 25.1 | 24.1 | 23.9 | 26.2 | 24.825 | 2.30 |
18 | 24.5 | 24.5 | 26.0 | 26.2 | 25.300 | 1.70 |
19 | 25.3 | 27.5 | 24.3 | 25.5 | 25.650 | 3.20 |
20 | 24.6 | 25.3 | 25.5 | 24.3 | 24.925 | 1.20 |
21 | 24.9 | 24.4 | 25.4 | 24.8 | 24.875 | 1.00 |
22 | 25.7 | 24.6 | 26.8 | 26.9 | 26.000 | 2.30 |
23 | 24.8 | 24.3 | 25.0 | 27.2 | 25.325 | 2.90 |
24 | 25.4 | 25.9 | 26.6 | 24.8 | 25.675 | 1.80 |
25 | 26.2 | 23.5 | 23.7 | 25.0 | 24.600 | 2.70 |
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