Question
3. A company manufactures water pumps. The quality control inspector of the company takes a sample of 100 water pumps at regular intervals. The numbers of defective pumps for 15 samples are given below:
| Sample No. | Defective Pumps | Sample No. | Defective Pumps | Sample No. | Defective Pumps |
| 1 | 5 | 6 | 0 | 11 | 6 |
| 2 | 6 | 7 | 4 | 12 | 1 |
| 3 | 3 | 8 | 8 | 13 | 10 |
| 4 | 2 | 9 | 2 | 14 | 2 |
| 5 | 1 | 10 | 2 | 15 | 1 |
Use the data to construct a suitable chart. Observe the results and comment on the control of the process as indicated by the chart.
Answer :
Word Count : 260
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Skip in 10
Since the sample size is constant at 100 pumps for each sample and the quality characteristic is the number of defectives, a p-chart is the suitable control chart. The total number of defective pumps observed in the 15 samples is 5 + 6 + 3 + 2 + 1 + 0 + 4 + 8 + 2 + 2 + 6 + 1 + 10 + 2 + 1 = 53. The total number of pumps inspected is 15 × 100 = 1500. The average fraction defective is p̄ = 53
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