Question
The syringe length is measured during a pharmaceutical manufacturing process. The following table provides data (in inches) for 20 samples each of size 5. Construct
The syringe length is measured during a pharmaceutical manufacturing process. The following table provides data (in inches) for 20 samples each of size 5. Construct the control limits for both X and R charts and check if the process is in control or out of control. If the process is out of control, construct the revised control limits for both X and R charts.
Sample | x1 | x2 | x3 | x4 | x5 |
1 | 4.960 | 4.946 | 4.950 | 4.956 | 4.958 |
2 | 4.958 | 4.927 | 4.935 | 4.940 | 4.950 |
3 | 4.971 | 4.929 | 4.965 | 4.952 | 4.938 |
4 | 4.940 | 4.982 | 4.970 | 4.953 | 4.960 |
5 | 4.964 | 4.950 | 4.953 | 4.962 | 4.956 |
6 | 4.969 | 4.951 | 4.955 | 4.966 | 4.954 |
7 | 4.960 | 4.944 | 4.957 | 4.948 | 4.951 |
8 | 4.969 | 4.949 | 4.963 | 4.952 | 4.962 |
9 | 4.984 | 4.928 | 4.960 | 4.943 | 4.955 |
10 | 4.970 | 4.934 | 4.961 | 4.940 | 4.965 |
11 | 4.975 | 4.959 | 4.962 | 4.971 | 4.968 |
12 | 4.945 | 4.977 | 4.950 | 4.969 | 4.954 |
13 | 4.976 | 4.964 | 4.970 | 4.968 | 4.972 |
14 | 4.970 | 4.954 | 4.964 | 4.959 | 4.968 |
15 | 4.982 | 4.962 | 4.968 | 4.975 | 4.963 |
16 | 4.961 | 4.943 | 4.950 | 4.949 | 4.957 |
17 | 4.980 | 4.970 | 4.975 | 4.978 | 4.977 |
18 | 4.975 | 4.968 | 4.971 | 4.969 | 4.972 |
19 | 4.977 | 4.966 | 4.969 | 4.973 | 4.970 |
20 | 4.975 | 4.967 | 4.969 | 4.972 | 4.972 |
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