Question

The viscosity of a polymer is measured hourly. Measurements for the last 20 hours are shown in the following table. The process is to be monitored using a CUSUM chart with h = 5 and k = 1/2 to detect a shift of 1? from the target (3000). Test | Viscosity | Test | Viscosity 1 | 2838 | 11 | 3174 2 | 2900 | 12 | 3102 3 | 3058 | 13 | 2762 4 | 3064 | 14 | 2975 5 | 3100 | 15 | 2719 6 | 3170 | 16 | 2861 7 | 3300 | 17 | 2797 8 | 3350 | 18 | 3078 9 | 3400 | 19 | 2964 10 | 3200 | 20 | 2805 a) Use the moving range to estimate the standard deviation of the process. (5 Points) b) Based on the first 10 measurements, does the process seem to be in control? Explain. **Do Not construct the chart (15 Points)

          The viscosity of a polymer is measured hourly. Measurements for the last 20 hours are shown in the following table. The process is to be monitored using a CUSUM chart with h = 5 and k = 1/2 to detect a shift of 1? from the target (3000).

Test | Viscosity | Test | Viscosity
1 | 2838 | 11 | 3174
2 | 2900 | 12 | 3102
3 | 3058 | 13 | 2762
4 | 3064 | 14 | 2975
5 | 3100 | 15 | 2719
6 | 3170 | 16 | 2861
7 | 3300 | 17 | 2797
8 | 3350 | 18 | 3078
9 | 3400 | 19 | 2964
10 | 3200 | 20 | 2805

a) Use the moving range to estimate the standard deviation of the process. (5 Points)
b) Based on the first 10 measurements, does the process seem to be in control? Explain.
**Do Not construct the chart (15 Points)

The viscosity of a polymer is measured hourly. Measurements for the last 20 hours are shown in the following table. The process is to be monitored using a CUSUM chart with h = 5 and k = 1/2 to detect a shift of 1? from the target (3000).

Test | Viscosity | Test | Viscosity
1 | 2838 | 11 | 3174
2 | 2900 | 12 | 3102
3 | 3058 | 13 | 2762
4 | 3064 | 14 | 2975
5 | 3100 | 15 | 2719
6 | 3170 | 16 | 2861
7 | 3300 | 17 | 2797
8 | 3350 | 18 | 3078
9 | 3400 | 19 | 2964
10 | 3200 | 20 | 2805

a) Use the moving range to estimate the standard deviation of the process. (5 Points)
b) Based on the first 10 measurements, does the process seem to be in control? Explain.
**Do Not construct the chart (15 Points)

Added by Vincent A.

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