Consider the piston ring data shown in Table 6.3. Assume that the specifications on this component are
Question:
(a) Set up x and R control charts on this process. Is the process in statistical control?
(b) The control limits on the x chart in part (a) are identical to the control limits on the x chart in Example 6.3, where the limits were based on s. Will this always happen?
(c) Estimate process capability for the piston-ring process. Estimate the percentage of piston rings produced that will be outside of the specification.
Transcribed Image Text:
TABLE 6.3 Inside Diameter Measurements (mm) for Automobile Engine Piston Rings Sample Number Observations 4.030 74002 74.019 73.992 74.008 73.995 73.992 74.001 74.011 74.004 3 73.988 74.024 74.02 7405 74.002 74.002 73996 73.993 7401574.009 3.992 74.007 74.05 73989 74.014 74.009 73994 73997 73985 73.993 73995 74.006 7399474.000 74.005 73.985 74.003 73993 74.015 73.988 4.008 73995 7.009 74.005 74.004 73.998 74.000 73990 74007 73.995 3.994 73.998 73994 73,995 7390 4.004 74,000 74007 74.000 73.996 3.983 74.002 73.998 73.997 74.012 74.006 73.967 73994 74.000 73984 15 74012 74014 73.998 73999 74.007 4.00073.984 74.005 73998 7396 3.994 74.012 73.986 74.005 74.007 4.006 74.010 74.018 74.003 74.000 3.984 74.002 74.3 74.00S 7397 4.000 74.010 74,013 74.020 74.003 21 73.982 74.00 74.015 74.005 73996 4.00473.999 73.990 74.006 74.009 23 74.010 73.989 73.990 74.009 74.014 24 74.015 74.008 73.993 74,000 74.010 3.982 73.984 3995 74.017 74.013 74.010 74.001 0.0148 0,0147 0.0091 00122 74.003 4.003 73.996 74.000 73.997 74.004 73,998 3.994 74.001 73.998 73.990 0.0055 0.0123 0.0029 0.0042 0.0105 0.0153 0.0073 73.997 4,001 74.007 3.998 74.009 4.000 74.002 74.002 74.005 73.998 Σ " I ,850.028 00106 0.0085 0.0074 0.0119 0.0162 0.2351 74.001 -0.0094
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (12 reviews)
The process is in statistical control with no outofcontrol signals runs trends or ...View the full answer
Answered By
JAPHETH KOGEI
Hi there. I'm here to assist you to score the highest marks on your assignments and homework. My areas of specialisation are:
Auditing, Financial Accounting, Macroeconomics, Monetary-economics, Business-administration, Advanced-accounting, Corporate Finance, Professional-accounting-ethics, Corporate governance, Financial-risk-analysis, Financial-budgeting, Corporate-social-responsibility, Statistics, Business management, logic, Critical thinking,
So, I look forward to helping you solve your academic problem.
I enjoy teaching and tutoring university and high school students. During my free time, I also read books on motivation, leadership, comedy, emotional intelligence, critical thinking, nature, human nature, innovation, persuasion, performance, negotiations, goals, power, time management, wealth, debates, sales, and finance. Additionally, I am a panellist on an FM radio program on Sunday mornings where we discuss current affairs.
I travel three times a year either to the USA, Europe and around Africa.
As a university student in the USA, I enjoyed interacting with people from different cultures and ethnic groups. Together with friends, we travelled widely in the USA and in Europe (UK, France, Denmark, Germany, Turkey, etc).
So, I look forward to tutoring you. I believe that it will be exciting to meet them.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Introduction to Statistical Quality Control
ISBN: 978-1118146811
7th edition
Authors: Douglas C Montgomery
Question Posted:
Students also viewed these Statistics questions
-
Consider the piston ring data in Table 6.3. Estimate the process capability assuming that specifications are 74.00 0.035 mm.
-
The data shown in Table 10E.9 are concentration readings from a chemical process, made every 30 minutes (read down, then across from left to right). (a) Calculate the sample autocorrelation function...
-
The data shown in Table 10E.10 are temperature measurements made every 2 minutes on an intermediate chemical product (read down, then across from left to right). (a) Calculate the sample...
-
A function f: S is convex if and only if for all f (21x1 + a2x2 + ..+ x, Xn)
-
Three years ago, Chris Dees launched a medical products company that specializes in providing products for people with diabetes. His company is number one in its industry. Recently, a couple of...
-
Give an example of a practical problem in which the variation of thermal conductivity with temperature is significant and for which a numerical solution is therefore the only viable solution method.
-
An instructor administers a 27 -item quiz to her class of 25 students. Each student's score on the quiz is the number of items answered correctly. These scores are listed below: a. Construct a...
-
Faced with rising pressure for a $15 per hour minimum wage rate, the farming industry is currently exploring the possible use of robotics to replace some farm workers. The Lettuce Bot is one such...
-
Solve csc = 2.7451 for - 720 0720. Round your answers to the nearest tenth of a degree. (C-3 marks)
-
Like many other large companies, The Cheesecake Factory Incorporated has several legal actions pending against it at any given time. It must accrue for and/or disclose certain contingent liabilities...
-
Rework Exercise 6.9 using the s chart. In Exercise 6. TABLE 6E.4 Hole Diameter Data for Exercise 6.9 Sample Number , , 1 30 +50-20 +10 +30 0 +50 -60 -20 +30 3 -50 +10 +20 30 +20 4 10-10 +30 -20 +50 5...
-
Table 6E.8 shows 15 additional samples for the piston ring process (Table 6.3), taken after the initial control charts were established. Plot these data on the x and R chart developed in Exercise...
-
How would YOU list in rank order the criteria you believe most appropriate for evaluating the effectiveness of managing other people at work?
-
Graph the first-degree inequalities in two unknowns in Problems 13-48. \(y \geq-\frac{2}{3} x\)
-
Graph the first-degree inequalities in two unknowns in Problems 13-48. \(y \geq 0\)
-
Graph the first-degree inequalities in two unknowns in Problems 13-48. \(x \geq 2 y\)
-
Graph the first-degree inequalities in two unknowns in Problems 13-48. \(x \geq y\)
-
Sketch the graph of each equation in Problems 3-30. \(y=-x^{3}\)
-
Simplify each expression. Assume that all variables represent nonzero real numbers. ()
-
Do the three planes x + 2x + x 3 = 4, X X 3 = 1, and x + 3x = 0 have at least one common point of intersection? Explain.
-
The same data as in the previous problem are stored in a different format in the last two sheets of the P08_15.xlsx file. a. Use StatTools to find a 95% confidence interval for the proportion who...
-
The employee benefits manager of a large public university would like to estimate the proportion of full-time employees who prefer adopting the first (plan A) of three available health care plans in...
-
A market research consultant hired by a leading soft drink company wants to determine the proportion of consumers who favor its low-calorie brand over the leading low-calorie competitor in a...
-
Example: Make vs Buy: A decision concerning whether an item should be produced internally or purchased from an outside supplier. Java J's is a coffee shop offering a variety of coffees, teas and...
-
3. An elastic material fills a cubic-shaped cavity in a rigid metal form. The properties of the material are: E = 15000 MPa v = 0.25 = 120 10-6/C (coefficient of thermal expansion) The material is...
-
Every decision has an Opportunity Cost due to the nature of scarcity, there is always a better alternative not chosen, therefore, there is always an opportunity cost. "The opportunity cost of an...
Study smarter with the SolutionInn App