In: Statistics and Probability
a) The design specifications for a small PVC liner for a construction project calls for a thickness of 3.0 mm 0.1 mm. The standard deviation of the process is 0.02 mm. What are the upper and lower specification limits for this product? The process is known to operate at a mean thickness of 3.0 mm. What is the Cpk for this process? Is the process capable of meeting design specification?
b) The following jobs are waiting to be processed at Spence’s Auto
Repairs. These five jobs were logged as they arrived. Assume that
all jobs arrived on day 180 and today is day 200.
Job | Due Date (days) | Remaining Time (days) |
103 | 214 | 10 |
205 | 223 | 7 |
309 | 217 | 11 |
412 | 219 | 5 |
517 | 217 | 15 |
Using the Critical Ratio scheduling rule, what sequence would the jobs be processed. [5 points]
A. |
a) Cpk = 1.67, therefore the process is capable of meeting design specification b) Critial Ratio sequence: Job 412, 205, 309, 103, 517 |
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B. |
a) Cpk = 0.67, therefore the process is not capable of meeting design specification b) Critial Ratio sequence: Job 517, 103, 309, 205, 412 |
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C. |
a) Cpk = 0.67, therefore the process is not capable of meeting design specification b) Critial Ratio sequence: Job 517, 103, 309, 205, 412 |
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D. |
a) Cpk = 1.67, therefore the process is capable of meeting design specification b) Critial Ratio sequence: Job 517, 103, 309, 205, 412 |