Tensile strength, diameter of a textile fiber and measure of entangled fiber are three quality characteristics...
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Tensile strength, diameter of a textile fiber and measure of entangled fiber are three quality characteristics observed by a quality engineer. The engineer decided to use n = 1 and has taken 15 samples from a production run. He initially plotted individual control charts for each quality characteristics. Figure 1, 2 and 3 show the respective control charts. However, when he decided to jointly monitor the three quality characteristics, he was presented with a control chart shown by Figure 4. i. ii. ii. Individual Measurement of tensile strength 5.0 4,5- 40 3.5- 3.0- 25- 2.0 1.5- tensile strength enlangled fiber 3.5- 3.0- 2.5- 2.0- 2 Individual Measurement of entangled fiber 4.0 1.5 8 10 12 14 16 Sample Figure 1 6 8 10 12 14 16 UCL-4.585 Sample Figure 3 Avg=3.200 LCL 1.814 UCL-3819 Avg=2.793 LCL 1.763 Individual Measurement of diameter of fiber 5.5- 5.0 4.5- 4.0- 3.5- 30- 25- 2.0 diameter of fiber 25 20 10 1 8 8 10 12 14 16 Sample Figure 2 UCL 5.154 Sample Number Avg=3.653 T^2 Control Chart for Quality Characteristics Figure 4 LCL-2.153 ut 8 9 10 11 12 13 14 15 Based on the above control charts, comment on the quality characteristics of textile fiber. Explain why separate monitoring of several quality characteristics can be an unsatisfactory monitoring procedure. State the phase of the control chart and write down appropriate formula to compute control limit for the control chart in Figure 4. | Tensile strength, diameter of a textile fiber and measure of entangled fiber are three quality characteristics observed by a quality engineer. The engineer decided to use n = 1 and has taken 15 samples from a production run. He initially plotted individual control charts for each quality characteristics. Figure 1, 2 and 3 show the respective control charts. However, when he decided to jointly monitor the three quality characteristics, he was presented with a control chart shown by Figure 4. i. ii. ii. Individual Measurement of tensile strength 5.0 4,5- 40 3.5- 3.0- 25- 2.0 1.5- tensile strength enlangled fiber 3.5- 3.0- 2.5- 2.0- 2 Individual Measurement of entangled fiber 4.0 1.5 8 10 12 14 16 Sample Figure 1 6 8 10 12 14 16 UCL-4.585 Sample Figure 3 Avg=3.200 LCL 1.814 UCL-3819 Avg=2.793 LCL 1.763 Individual Measurement of diameter of fiber 5.5- 5.0 4.5- 4.0- 3.5- 30- 25- 2.0 diameter of fiber 25 20 10 1 8 8 10 12 14 16 Sample Figure 2 UCL 5.154 Sample Number Avg=3.653 T^2 Control Chart for Quality Characteristics Figure 4 LCL-2.153 ut 8 9 10 11 12 13 14 15 Based on the above control charts, comment on the quality characteristics of textile fiber. Explain why separate monitoring of several quality characteristics can be an unsatisfactory monitoring procedure. State the phase of the control chart and write down appropriate formula to compute control limit for the control chart in Figure 4. |
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Answer i Figure 1 determines the measure of the tensile strength It can be seen in the chart that all the values for the measure of the tensile strength lie between the upper and lower control limits ... View the full answer
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