29 May Operations & Supply Chain Management
Histogram Assignment
| Table below shows the inside diameter (in millimeters) of metal sleeves produced in a machine shop for 100 randomly selected parts. Twenty samples, each of size 5, were taken. Simply looking at the data below table provides little insight about the process. Please provide the histogram and your explanation (how the sample distributed?) | |||||
| Sample | Observations X (Five per Sample) | ||||
| 1 | 50.05 | 50.03 | 50.02 | 50 | 49.94 |
| 2 | 49.96 | 49.99 | 50.03 | 50.01 | 49.98 |
| 3 | 50.01 | 50.01 | 50.01 | 50 | 49.92 |
| 4 | 49.95 | 49.97 | 50.02 | 50.1 | 50.02 |
| 5 | 50 | 50.01 | 50 | 50 | 50.09 |
| 6 | 50.02 | 50.05 | 49.97 | 50.02 | 50.09 |
| 7 | 50.01 | 49.99 | 49.96 | 49.99 | 50 |
| 8 | 50.02 | 50 | 50.04 | 50.02 | 50 |
| 9 | 50.06 | 49.93 | 49.99 | 49.99 | 49.95 |
| 10 | 49.96 | 49.93 | 50.08 | 49.92 | 50.03 |
| 11 | 50.01 | 49.96 | 49.98 | 50 | 50.02 |
| 12 | 50.04 | 49.94 | 50 | 50.03 | 49.92 |
| 13 | 49.97 | 49.9 | 49.98 | 50.01 | 49.95 |
| 14 | 49.98 | 50.01 | 49.95 | 49.97 | 49.94 |
| 15 | 49.97 | 49.98 | 50.03 | 50.08 | 49.96 |
| 16 | 49.98 | 50 | 49.97 | 49.96 | 49.97 |
| 17 | 50.03 | 50.04 | 50.03 | 50.01 | 50.01 |
| 18 | 49.98 | 49.98 | 49.99 | 50.05 | 50 |
| 19 | 50.07 | 50 | 50.02 | 49.99 | 49.93 |
| 20 | 49.99 | 50.06 | 49.95 | 49.99 | 50.02 |
Scatter Plot Assignment
| An insurance company is interested in determining whether life insurance coverage is influenced linearly by disposable income. A randomly chosen sample of size 20 produced the data shown in the table below. Construct a scatterplot with a trend line. What conclusions can you draw? | |
| Disposable Income ($ thousands) | Life Insurance Coverage ($ thousands) |
| 45 | 60 |
| 40 | 58 |
| 65 | 100 |
| 50 | 50 |
| 70 | 120 |
| 75 | 140 |
| 70 | 100 |
| 40 | 50 |
| 50 | 70 |
| 45 | 60 |
| 65 | 80 |
| 60 | 90 |
| 45 | 50 |
| 40 | 50 |
| 55 | 70 |
| 55 | 60 |
| 60 | 80 |
| 75 | 120 |
| 45 | 50 |
| 65 | 70 |
Pareto Chart Assignment
| In a printing company, data from the previous month show the following types of errors, with the unit cost (in dollars) of rectifying each error. Construct a Pareto Chart and discuss the results. If management has monthly allocation of 18,000, which areas should they tackle? (Hint: what is the total cost) | ||
| Error categories | Frequency | Unit Costs |
| Inadequate Binding | 120 | 100 |
| Paper tension | 80 | 50 |
| Paper Misalignment | 100 | 30 |
| Proofreading | 3500 | 0.5 |
| Typographical | 4000 | 0.2 |
X Bar Chart & R Chart Assig.
| Consider a process by which coils are manufactured. Samples of size 5 are randomly selected from the process, and the resistance values (in ohms) of the coils are measured. The data values are given in the table below, please conduct the x-bar chart and r chart. | |||||
| Sample | Observations | ||||
| 1 | 20 | 22 | 21 | 23 | 22 |
| 2 | 19 | 18 | 22 | 20 | 20 |
| 3 | 25 | 19 | 20 | 17 | 22 |
| 4 | 20 | 21 | 22 | 21 | 21 |
| 5 | 19 | 24 | 23 | 22 | 20 |
| 6 | 22 | 20 | 18 | 18 | 19 |
| 7 | 18 | 20 | 19 | 18 | 20 |
| 8 | 20 | 18 | 23 | 20 | 21 |
| 9 | 21 | 20 | 24 | 23 | 22 |
| 10 | 21 | 19 | 20 | 20 | 20 |
| 11 | 20 | 20 | 23 | 22 | 20 |
| 12 | 22 | 21 | 20 | 23 | 23 |
| 13 | 19 | 22 | 19 | 18 | 19 |
| 14 | 20 | 21 | 22 | 21 | 22 |
| 15 | 20 | 24 | 24 | 23 | 23 |
| 16 | 21 | 20 | 24 | 20 | 21 |
| 17 | 20 | 18 | 18 | 20 | 20 |
| 18 | 20 | 24 | 22 | 23 | 23 |
| 19 | 20 | 19 | 23 | 20 | 19 |
| 20 | 22 | 21 | 21 | 24 | 22 |
| 21 | 23 | 22 | 22 | 20 | 22 |
| 22 | 21 | 18 | 18 | 17 | 19 |
| 23 | 21 | 24 | 24 | 23 | 23 |
| 24 | 20 | 22 | 21 | 21 | 20 |
| 25 | 19 | 20 | 21 | 21 | 22 |
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