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In nine samples of size n = 10, the grand mean of the samples is x = 100 for the characteristic of
\r\ninterest, and the mean of the ranges of the samples is R = 8.5. Determine (a) lower and upper
\r\ncontrol limits for the x chart and (b) lower and upper control limits for the R chart. (c) Based on the
\r\ndata given, estimate the standard deviation of the process?
\r\n
In 12 samples of size n = 7, the average value of the sample means is x = 6.860 cm for the
\r\ndimension of interest, and the mean of the ranges of the samples is R = 0.027 cm. Determine (a) lower and upper control limits for the x chart and (b) lower and upper control limits for the R chart.
\r\n(c) What is your best estimate of the standard deviation of the process?
In Problem 42.4, the design specification on the diameter is 28.0 ± 2.0 mm. (a) What proportion
\r\nof parts fall outside the tolerance limits? (b) If the process were adjusted so that its mean diameter =
\r\n28.0 mm and the standard deviation remained the same, what proportion of parts would fall outside
\r\nthe tolerance limits? (c) With the adjusted mean at 28.0 mm, determine the value of the process
\r\ncapability index.
A plastic extrusion process produces round extrudate with a mean diameter = 28.6 mm. The process
\r\nis in statistical control and the output is normally distributed with standard deviation = 0.53 mm.
\r\nDetermine the process capability.
A sheet-metal bending operation produces bent parts with an included angle = 92.1°. The process is
\r\nin statistical control and the values of included angle are normally distributed with a standard
\r\ndeviation = 0.23°. The design specification on the angle = 90 ± 2°. (a) Determine the process
\r\ncapability. (b) If the process could be adjusted so that its mean = 90.0°, determine the value of the
\r\nprocess capability index.
* In Problem 42.1, the design specification on the part is: diameter = 6.250 ±0.013 cm. (a) What
\r\nproportion of parts fall outside the tolerance limits? (b) If the process were adjusted so that its mean
\r\ndiameter = 6.250 cm and the standard deviation remained the same, what proportion of parts would
\r\nfall outside the tolerance limits?
\r\n
An automatic turning process is set up to produce parts with a mean diameter = 6.255 cm. The
\r\nprocess is in statistical control and the output is normally distributed with a standard deviation =
\r\n0.004 cm. Determine the process capability.
\r\n
There are 23 correct answers in the following multiple choice questions (some questions have multiple
\r\nanswers that are correct). To attain a perfect score on the quiz, all correct answers must be given. Each
\r\ncorrect answer is worth 1 point. Each omitted answer or wrong answer reduces the score by 1 point, andeach additional answer beyond the correct number of answers reduces the score by 1 point. Percentage
\r\non the quiz is based on the total number of correct answers.
\r\n42.1 Which of the following quality aspects would be classified as examples of freedom from
\r\ndeficiencies rather than product features (two correct answers): (a) components within tolerance, (b)
\r\nlocation of ON/OFF switch, (c) no missing parts, (d) product weight, (e) reliability, and (f)
\r\nreputation of the company?
\r\n42.2 If the product tolerance is set so that the process capability index = 1.0, then the percentage of parts
\r\nthat are within tolerance will be closest to which one of the following when the process is operating
\r\nin statistical control: (a) 35%, (b) 65%, (c) 95%, (d) 99%, or (e) 100%?
\r\n42.3 In a control chart, the upper control limit is set equal to which one of the following: (a) process
\r\nmean, (b) process mean plus three standard deviations, (c) upper design tolerance limit, or (d) upper
\r\nvalue of the maximum range R?
\r\n42.4 The R chart is used for which one of the following product or part characteristics: (a) number of
\r\nrejects in the sample, (b) number of reworked parts in a sample, (c) radius of a cylindrical part, or
\r\n(d) range of sample values?
\r\n42.5 Which one of the following best describes the situations for which the c chart is most suited: (a)
\r\ncontrol of defective parts, (b) mean value of part characteristic of interest, (c) number of defects in a
\r\nsample, or (d) proportion of defects in a sample?
\r\n42.6 Which of the following identify a likely out-of-control condition in a control chart (three correct
\r\nanswers): (a) consistently increasing value of x , (b) points near the central line, (c) points
\r\noscillating back and forth across the central line, (d) R outside the control limits of the R chart, (e)
\r\nsample points consistently slightly above the central line, and (f) x outside the control limits of the
\r\nx chart?
\r\n42.7 Which of the following are the three main goals in a total quality management (TQM) program: (a)
\r\nachieving customer satisfaction, (b) computing defects per million, (c) continuous improvement, (d)
\r\ndeveloping robust product and process designs, (e) encouraging the involvement of the entire
\r\nworkforce, (f) forming worker teams, (g) statistical process control, and (h) zero defects?
\r\n42.8 Which one of the following measures in a Six Sigma program allows products of different
\r\ncomplexity to be directly compared: (a) defects per million units, (b) defects per million
\r\nopportunities, or (c) defective units per million units?
\r\n42.9 Which of the following principles and/or approaches are generally credited to G. Taguchi (two
\r\ncorrect answers): (a) acceptance sampling, (b) control charts, (c) loss function, (d) Pareto priority
\r\nindex, and (e) robust design?
\r\n42.10 Which of the following phrases relating to ISO 9000 are correct (three correct answers): (a)
\r\ncertified by the International Standards Office located in Geneva, Switzerland, (b) developed by
\r\nthe International Organization for Standardization located somewhere in Europe, (c) establishes
\r\nstandards for the quality systems and procedures used by a facility, (d) establishes standards for
\r\nthe products and services delivered by a facility, and (e) registration in ISO 9000 obtained
\r\nthrough a third-party agency that certifies the facility’s quality systems?
\r\n42.11 The two basic types of inspection are inspection by variables and inspection by attributes. The
\r\nsecond of these inspections uses which one of the following: (a) destructive testing, (b) gaging,
\r\n(c) measuring, or (d) nondestructive testing?
\r\n42.12 Automated 100% inspection can be integrated with the manufacturing process to accomplish
\r\nwhich of the following (two best answers): (a) better design of products, (b) feedback of data to
\r\nadjust the process, (c) 100% perfect quality, and (d) sortation of good parts from defects?
\r\n42.13 Which one of the following is an example of contact inspection: (a) coordinate measuring
\r\nsystems, (b) machine vision, (c) radiation techniques, (d) scanning laser systems, and (e)
\r\nultrasonic techniques?
\r\n42.14 Which one of the following is the most important application of vision systems: (a) inspection,
\r\n(b) object identification, (c) safety monitoring, or (d) visual guidance and control of a robotic
\r\nmanipulator?
\r\n
Name some of the nonoptical noncontact sensor technologies available for inspection.
\r\n
What is a binary vision system?
\r\n
Describe a scanning laser system.
What is a coordinate measuring machine?
\r\n
Give an example of a noncontact inspection technique.
\r\n
Automated inspection can be integrated with the manufacturing process to accomplish certain
\r\nactions. What are these possible actions?
\r\n
What is meant by robust design, as defined by Taguchi?
\r\n
A Six Sigma program uses three measures of defects per million (DPM) to assess the performance
\r\nof a given process. Name the three measures of DPM.
\r\n
Why is the Normal statistical table used in a Six Sigma program different from the standard normal
\r\ntables found in textbooks on probability and statistics?
\r\n
At what company was the Six Sigma quality program first used?
\r\n
What is the difference between external customers and internal customers in TQM?
\r\n
What are the three main goals in total quality management (TQM)?
\r\n
When interpreting a control chart, what does one look for to identify problems?
\r\n
What are the two basic types of control charts for attributes?
\r\n
Identify the two types of control charts for variables.
\r\n
What is the difference between control charts for variables and control charts for attributes?
\r\n
What are the natural tolerance limits?
\r\n
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