The following table contains the measurements of the key length dimension from a
ID: 3008656 • Letter: T
Question
The following table contains the measurements of the key length dimension from a fuel injector. These samples of size five were taken at one-hour intervals. Use three-sigma control limits. Refer Exhibit 10.13.
OBSERVATIONS
Calculate the mean and range for the above samples. (Do not round intermediate calculations. Round your answers to 3 decimal places.)
Determine the UCL and LCL for R-chart. (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your answers to 3 decimal places.)
The following table contains the measurements of the key length dimension from a fuel injector. These samples of size five were taken at one-hour intervals. Use three-sigma control limits. Refer Exhibit 10.13.
Explanation / Answer
Ans-
. You wish to compete in the super premium ice cream market. The task is to determine the wants of the super premium market and the attributes/hows to be met by their firm. Use the house of quality concept. Market research has revealed that customers feel four factors are significant in making a buying decision. A “rich” taste is most important followed by smooth texture, distinct flavor, and a sweet taste. From a production standpoint, important factors are the sugar content, the amount of butterfat, low air content, and natural flavors. Assign customer importance ratings from conducting a small survey in your own classroom or in other semesters. High relationship = 5, medium = 3 and low = 1. Conclude on your findings from this House of Quality tool. One possible solution for this problem is: Ratings Sugar content High butterfat Low air content Natural flavor Rich Taste 4 3 5 Smooth Texture 3 1 3 1 Distinct flavor 2 1 5 Sweet taste 1 5 19 23 9 13 Looking at the house of quality tool, we can see that high butterfat level and sugar content score the highest. So the company should focus on these two product attributes in order to satisfy customer needs. Therefore most importance should be given to these two factors to get a competitive edge. 2. Michael’s Engineering, Inc. manufactures components for the ever-changing notebook computer business. He is considering moving from a small custom design facility to an operation capable of much more rapid design of components. This means that Michael must consider upgrading his CAD equipment. Option 1 is to purchase two new desktop CAD systems at $100,000 each. Option 2 is to purchase an integrated system and the related server at $500,000. Michael’s sales manager has estimated that if the market for notebook computers continues to expand, sales over the life of either system will be $1,000,000. He places the odds of this happening at 40%. He thinks the likelihood of the market having already peaked to be 60% and future sales to be only $700,000. What do you suggest Michael do and what is the EMV of this decision? ANS: The EMV for the desktop systems is $620,000 vs. $320,000 for the integrated system. Therefore, Michael should purchase the desktop systems. 3. Westover Electrical, Inc., is a medium-size manufacturer of wire windings (used in transformers) in making electric motors. Joe Wilson, VP operations, has experienced an increasing problem with rejected product found during the manufacturing operation. “I’m not sure where to begin,” admitted Joe at the weekly meeting with his boss. “Rejects in the Winding Department have been killing us the past two months. Nobody in operations has any idea why. I have just brought in a consultant, Roger Gagnon, to take a look at the situation and make recommendations about how we can find out what is going on. I don’t expect Roger to make technical recommendations— just see if he can point us in the right direction.” Gagnon’s first stop later that day was the production floor. His discussions with the production supervisors in the Winding Department indicated that they had no real grasp of what the problem was or what to do to correct it. A tour of the winding operation indicated that there were three machines that wound wire onto plastic cores to produce the primary and secondary electric motor windings. After inspection by quality control (QC), these windings then went to the Packaging Department. Packaging personnel, Gagnon found, inspect their own work and make corrections on the spot. The problem is that too many windings are found to be defective and require reworking before they can be packaged. Gagnon’s next stop was the Quality Control Department, where he obtained the records for the past month’s Winding Department rejects. TABLE 1. Transformer Reject Log: Winding Process Winder Bad Wind Twisted Wire Broken Leads Abraded Wire Wrong Core Wrong Wire Failed Electrical Test fraction defects 1 100 1 1 0 4 1 0 0 1 0.08 2 100 2 2 1 0 0 1 5 0 0.11 3 100 3 0 0 0 1 0 0 3 0.07 4 100 1 0 1 3 0 0 0 0 0.05 5 100 2 3 1 0 0 2 3 0 0.11 6 100 3 0 0 1 2 0 0 0 0.06 7 100 1 1 0 0 2 0 0 0 0.04 8 100 2 0 0 0 0 0 3 0 0.05 9 100 3 0 0 1 2 0 0 3 0.09 10 100 1 0 0 1 0 0 0 0 0.02 11 100 2 0 0 0 0 0 2 0 0.04 12 100 3 0 0 0 3 1 0 3 0.10 13 100 1 0 1 5 0 0 0 0 0.07 14 100 2 0 0 0 0 0 2 1 0.05 15 100 3 0 0 0 3 0 0 2 0.08 16 100 1 0 0 2 0 0 0 0 0.03 17 100 2 0 0 0 0 0 1 0 0.03 18 100 3 0 0 0 3 0 0 3 0.09 19 100 1 0 1 5 0 0 0 0 0.07 20 100 2 0 0 0 0 0 1 0 0.03 21 100 3 0 0 0 1 0 0 4 0.08 22 100 1 0 0 6 0 0 0 0 0.07 23 100 2 1 0 1 0 1 0 0 0.05 24 100 3 0 0 6 1 0 0 4 0.14 25 100 1 0 0 4 0 0 0 0 0.05 No. of Reject Units by Cause No Inspected Inspections a. Prepare an outline for Shambhu Pradhan’s report. What charts or graphs might be included in the report? You could use z=2 confidence level. b. Prepare Shambhu’s recommendation, with justification, on one page. (12+6) p-Chart p = 166/2500 = 0.066 p = sq rt [(p (1 – p ))/n] = sq rt [(0.066x0.934)/100] = 0.025 UCL = p + zp = .066 + 2x.025 = 0.116 LCL = p - zp = .066 - 2x.025 = 0.016
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