Question

In: Statistics and Probability

The following represents the number of solder defects on 24 samples on ve printed circuit boards;...

The following represents the number of solder defects on 24 samples on ve printed circuit boards; 7,6,8,10,24,6,5,4,8,11,15,8,4,15,11,12,8,6,5,9,7,14,8,21.

(a) Using all the data, compute trial control limits for a U control chart, construct the chart and plot the data.

(b) Can we conclude that the process is in control using a U chart? If not, assume assignable causes can be found, list points and revise the control limits.

Solutions

Expert Solution

ANSWERS:

**********************************************************************************************************

Ans a)

Control limits for U chart is,

Upper control limits are = 0.729

Lower control limits are = 0.014

***********************************************************************************************************************

Graph:

******************************************************************************************************************************

Ans b)

The process is not in control.

One point more than 3.00 standard deviations from the centerline.
Test Failed at points: 5, 24

******************************************************************************************************************************

If you want upper and lower control limits manually calculation then comment please below I will provide an answer definitely, thank you.


Related Solutions

Current technology uses lasers for the inspection of solder-joint defects on printed circuit boards (PCBs). A...
Current technology uses lasers for the inspection of solder-joint defects on printed circuit boards (PCBs). A particular manufacturer of laser-based inspection equipment claims that its product can inspect on average at least 10 solder joints per second when the joints are spaced 0.1 inch apart. The equipment was tested by a potential buyer on 30 different PCBs. In each case, the equipment was operated for exactly one second. The number of solder joints inspected on each run is found in...
In the production of printed circuit​ boards, errors in the alignment of electrical connections are a...
In the production of printed circuit​ boards, errors in the alignment of electrical connections are a source of scrap. The accompanying table shows the registration error and the temperature used in the production of circuit boards in an experiment in which higher cost material was used. Registration Error Temperature −10.7 278 3.7 320 3.2 299 10.6 321 −13.8 271 6.2 293 13.7 324 A. Fit a quadratic regression model and state the quadratic regression. B. Perform a residual analysis on...
A semiconductor manufacturer produces printed circuit boards that are sampled to determine the thickness of their...
A semiconductor manufacturer produces printed circuit boards that are sampled to determine the thickness of their copper plating. The following statements create a data set named Trans, which contains the plating thicknesses (Thick) of 50 boards: 3.412 3.45 3.551 3.451 3.60 3.462 3.586 3.645 3.252 3.62 3.606 3.634 3.852 3.56 3.342 3.341 3.444 3.774 3.632 3.199 3.71 3.654 3.723 3.981 3.934 3.708 3.934 3.315 3.762 3.223 3.469 3.481 3.515 3.535 3.46 3.575 3.488 3.515 3.484 3.482 3.517 3.483 3.467 3.467...
Manchester Technology, Inc. manufactures several different types of printed circuit boards; however, two of the boards...
Manchester Technology, Inc. manufactures several different types of printed circuit boards; however, two of the boards account for the majority of the company’s sales. The first of these boards, a television circuit board, has been a standard in the industry for several years. The market for this type of board is competitive and price-sensitive. Manchester plans to sell 79,000 of the TV boards in 20x1 at a price of $450 per unit. The second high-volume product, a personal computer circuit...
Manchester Technology, Inc. manufactures several different types of printed circuit boards; however, two of the boards...
Manchester Technology, Inc. manufactures several different types of printed circuit boards; however, two of the boards account for the majority of the company’s sales. The first of these boards, a television circuit board, has been a standard in the industry for several years. The market for this type of board is competitive and price-sensitive. Manchester plans to sell 79,000 of the TV boards in 20x1 at a price of $450 per unit. The second high-volume product, a personal computer circuit...
In the production of printed circuit boards for the electronics industry, a 0.60-mm layer of copper...
In the production of printed circuit boards for the electronics industry, a 0.60-mm layer of copper is laminated onto an insulating plastic board. Next, a circuit pattern made of a chemically resistant polymer is printed on board. The unwanted copper is removed by chemical etching, and the protective polymer is finally removed by solvents. One etching reaction is: Cu(NH3)4Cl2(aq) + 4NH3(aq) + Cu(s)  2Cu(NH3)4Cl(aq) A plant needs to manufacture 10,000 printed circuit boards, each 8.0 x 16.0 cm in...
All printed circuit boards (PCBs) that are manufactured at a certain plant are inspected. An analysis...
All printed circuit boards (PCBs) that are manufactured at a certain plant are inspected. An analysis of the company’s records indicates that 22% are flawed in some way. Of those that are flawed, 84% are reparable and the rest must be discarded. If a newly produced PCB is randomly selected, what is the probability that it does not have to be discarded? Please Solve Manually.
A manufacturer of printed circuit boards is considering purchasing a new surface mount technology component placement...
A manufacturer of printed circuit boards is considering purchasing a new surface mount technology component placement system. Two machines are under consideration and the following information is prepared for the economic evaluation. If the company's after-tax MARR of 12% per year and MACRS with a 7-year recovery period is used, compute the after-tax cash flow(ATCF) at the end of year 8 for the Machine Q. Assume an effective tax of 35% per year. Machine Q R First costs $392,248 $395,000...
IQ Electronics, which assembles printed circuit boards, is considering the purchase of a new IC chip...
IQ Electronics, which assembles printed circuit boards, is considering the purchase of a new IC chip placement machine. It has a first cost of $300,000 and is expected to save them $125,000 per year in labour and operating costs compared with the system they have now. The life of the system is expected to be four years. The salvage value of the machine is expected to be $100,000. IQ's nominal tax rate is 40%, and the equipment CCA rate is...
Aba Manufacturing has contracted to provide Zyz Electronics with printed circuit ( PC ) boards under...
Aba Manufacturing has contracted to provide Zyz Electronics with printed circuit ( PC ) boards under the following terms: (1) 100,000 PC boards will be delivered to Zyz in one month, and (2) Zyz has an option to take delivery of an additional 100,000 boards in three months by giving Aba 30 days notice. Zyz will pay $5.00 for each board that it purchases. Aba manufactures the PC boards using a batch process, and manufacturing costs are as follows: (1)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT