Question: 1. A manufacturer uses statistical process control to control the quality of the firm's products. For Product A, the number of flaws per unit is
1. A manufacturer uses statistical process control to control the quality of the firm's products. For Product A, the number of flaws per unit is counted. For Product B, samples of 50 are taken, and a defective/acceptable decision is made on each unit sampled. What type(s) of control charts should be used?
- A. c-chart for A, p-chart for B
- B. p-charts for A and B
- C. c-charts for both A and B
- D. p-chart for A, c-chart for B
- E. p-chart for A, mean and range charts for B
2. A company is interested in monitoring the variability in the weight of the fertilizer bags it produces. An appropriate control chart would be:
- A. both p-chart and c-chart.
- B. an x-bar-chart.
- C. an R-chart.
- D. a p-chart.
- E. a c-chart.
3. A company sells eggs in boxes with 12 cartons and 12 eggs in each carton, thus there are 144 eggs in each box. The organization wants to construct a p-chart to track the proportion of broken eggs in each sample. If the company used one box of eggs in each sample in the dataset, what would be the centerline, upper control limit(UCL), and lower control limit(LCL) for the appropriate p-chart? (Use z = 3.) Choose the closest answer.
| Sample | eggs | Sample | eggs | sample | eggs |
| 1 | 3 | 8 | 6 | 15 | 5 |
| 2 | 5 | 9 | 4 | 16 | 0 |
| 3 | 3 | 10 | 9 | 17 | 2 |
| 4 | 4 | 11 | 2 | 18 | 6 |
| 5 | 2 | 12 | 6 | 19 | 2 |
| 6 | 4 | 13 | 5 | 20 | 1 |
| 7 | 2 | 14 | 1 | TOTAL | 72 |
- A. Centerline = 0.50, UCL = 0.625, LCL = 0.375
- B. Centerline = 0.025, UCL = 0.64, LCL = 0
- C. Centerline = 0.30, UCL = 0.70, LCL = 0
- D. Centerline = 0.083, UCL = 0.152, LCL = 0.014
- E. Centerline = 0.053, UCL = 0.132, LCL = 0
3. The mean and standard deviation for a process for which we have a substantial history are = 120 and = 2. For the x-bar chart, a sample size of 16 will be used. What is the mean of the sampling distribution?
- A. 1/8 (0.125)
- B. 2
- C. 7.5
- D. 40
- E. 120
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