Operations Management: Sustainability and Supply Chain Management (12th Edition)
12th Edition
ISBN: 9780134130422
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
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Chapter 6.S, Problem 16P
Summary Introduction
To determine: The upper and lower control limits.
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In the past, the defective rate for your product hasbeen 1.5%. What arc the upper and lower control chart limits ifyou wish to use a sample size of 500 and = = 3?
Five data entry operators work at the data process-ing department of the Birmingham Bank. Each day for 30 days,
the number of defective records in a sample of 250 records typedby these operators has been noted, as follows:
a) Establish 3s upper and lower control limits.b) Why can the lower control limit not be a negative number?
c) The industry standards for the upper and lower control lim-its are 0.10 and 0.01, respectively. What does this imply about
Birmingham Bank’s own standards?
Control charts for X-bar and R are maintained for the tensile strength of fibers used in composite materials.
The specifications are 440+40. After 25 samples of size n=10 are analyzed, we find that:
25
25
X¡ = 12,870
Ri = 1,350
i=1
What are the limits of the R chart?
UCL=65.54 and LCL=2.56
UCL=74.97 and LCL=9.41
UCL=79.96 and LCL=10.03
UCL=95.96 and LCL=12.04
UCL=72.82 and LCL=2.85
Chapter 6 Solutions
Operations Management: Sustainability and Supply Chain Management (12th Edition)
Ch. 6.S - Prob. 1DQCh. 6.S - Define in statistical control.Ch. 6.S - Prob. 3DQCh. 6.S - Prob. 4DQCh. 6.S - Prob. 5DQCh. 6.S - Prob. 6DQCh. 6.S - Prob. 7DQCh. 6.S - Prob. 8DQCh. 6.S - Prob. 9DQCh. 6.S - Prob. 10DQ
Ch. 6.S - Prob. 11DQCh. 6.S - Prob. 12DQCh. 6.S - Prob. 13DQCh. 6.S - Prob. 14DQCh. 6.S - Prob. 15DQCh. 6.S - Prob. 16DQCh. 6.S - Prob. 17DQCh. 6.S - What does the formula L = D2C mean?Ch. 6.S - Prob. 19DQCh. 6.S - An avant-garde clothing manufacturer runs a series...Ch. 6.S - Prob. 2PCh. 6.S - Prob. 3PCh. 6.S - Prob. 4PCh. 6.S - Prob. 5PCh. 6.S - Develop a flowchart [as in Figure 6.6 (e) and...Ch. 6.S - Prob. 7PCh. 6.S - Prob. 8PCh. 6.S - Prob. 9PCh. 6.S - Prob. 10PCh. 6.S - Prob. 11PCh. 6.S - Prob. 12PCh. 6.S - Prob. 13PCh. 6.S - Prob. 14PCh. 6.S - Prob. 15PCh. 6.S - Prob. 16PCh. 6.S - Prob. 17PCh. 6.S - Prob. 18PCh. 6.S - Prob. 19PCh. 6.S - Prob. 20PCh. 6.S - Prob. 21PCh. 6.S - Prob. 22PCh. 6.S - Prob. 23PCh. 6.S - Prob. 24PCh. 6.S - Prob. 25PCh. 6.S - Prob. 40PCh. 6.S - Prob. 41PCh. 6.S - Prob. 42PCh. 6.S - Prob. 43PCh. 6.S - Prob. 44PCh. 6.S - Prob. 45PCh. 6.S - Prob. 51PCh. 6.S - Prob. 52PCh. 6.S - Prob. 26PCh. 6.S - Prob. 27PCh. 6.S - Prob. 53PCh. 6.S - Prob. 54PCh. 6.S - Prob. 55PCh. 6.S - Prob. 1CSCh. 6.S - Prob. 2CSCh. 6.S - Prob. 1.1VCCh. 6.S - Prob. 1.2VCCh. 6.S - Prob. 1.3VCCh. 6.S - Prob. 2.1VCCh. 6.S - Prob. 2.2VCCh. 6.S - Prob. 2.3VCCh. 6.S - Prob. 2.4VCCh. 6 - Prob. 1DQCh. 6 - Prob. 2DQCh. 6 - Prob. 3DQCh. 6 - Prob. 4DQCh. 6 - Prob. 5DQCh. 6 - Prob. 6DQCh. 6 - Prob. 7DQCh. 6 - Prob. 8DQCh. 6 - Prob. 9DQCh. 6 - Prob. 10DQCh. 6 - Prob. 11DQCh. 6 - Prob. 12DQCh. 6 - Prob. 13DQCh. 6 - Prob. 14DQCh. 6 - Prob. 15DQCh. 6 - Prob. 16DQCh. 6 - Prob. 17DQCh. 6 - Prob. 18DQCh. 6 - An avant-garde clothing manufacturer runs a series...Ch. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Kathleen McFaddens restaurant in Boston has...Ch. 6 - Develop a flowchart [as in Figure 6.6 (e) and...Ch. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 1CSCh. 6 - How could the survey have been more useful?Ch. 6 - Prob. 3CSCh. 6 - Prob. 1.1VCCh. 6 - Prob. 1.2VCCh. 6 - Prob. 1.3VCCh. 6 - Prob. 1.4VCCh. 6 - Prob. 2.1VCCh. 6 - Prob. 2.2VCCh. 6 - Prob. 2.3VCCh. 6 - Prob. 2.4VCCh. 6 - Prob. 2.5VC
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- sniparrow_forward2. x and R charts with n = 4 are used to monitor a normally distributed quality characteristic. The control chart parameters are x Chart R Chart UCL = 815 UCL = 46.98 %3D Center line = 800 Center line = 20.59 LCL = 785 LCL = 0 Both charts exhibit control. What is the probability that a shift in the process mean to 790 will be detected on the first sample following the shift? Please show all your work for full credit.arrow_forwardBased on the x-chart, the wire cutting process has been OUT OF CONTROL . Part 5 The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Part 6 Upper Control Limit (UCLR) = enter your response here inches (round your response to three decimal placesarrow_forward
- A manufacturer uses statistical process control to control the quality of the firm's products. Samples of 50 of Product A are taken, and a defective/acceptable decision is made on each unit sampled. For Product B, the number of flaws per unit is counted. What type(s) of control charts should be used? Select one: a. c-chart for A, mean and range charts for B b. p-chart for A , mean and range charts for B c. c-chart for both A and B d. p-chart for A, c-chart for B e. p-charts for both A and Barrow_forwardThe smallest defect in a computer chip will render the entire chip worthless. Therefore, tight quality control measures must be established to monitor these chips. In the past, the percent defective at Chieh Lee's Computer Chips has been 1.5%. The sample size is 1,000. Determine upper and lower control chart limits for these computer chips. Use z = 3. Upper Control Limit (UCL) = (round your response to four decimal places). Lower Control Limit (LCLp) = (round your response to four decimal places).arrow_forwardIf there are 400 total defects from 8 samples, each sample consisting of 20 individual items in a production process, what is the fraction defective that can be used in a "p" chart for quality control purposes?arrow_forward
- Control charts for X-bar and R are maintained for the tensile strength of fibers used in composite materials. The specifications are 440+40. After 36 samples of size n=7 are analyzed, we find that: 36 36 X¡ = 12,870 Ri = 1,350 i=1 What are the limits of the X-bar chart? UCL=442.86 and LCL=415.14 UCL=531.43 and LCL=498.17 UCL=415.18 and LCL=389.19 UCL=373.21 and LCL=341.79 UCL=335.89 and LCL=307.61arrow_forwardEvery hour, the volume of oil in two randomly selected bottles is measured. Results from 8 samples follow: Sample Vol Bottle 1 Vol Bottle 2 1 6.0 5.8 2 5.5 6.1 3 6.4 5.8 4 5.9 5.9 5 5.7 6.5 6 5.9 6.1 7 6.1 5.5 8 6.2 5.8 What is the Upper Control Limit for the R-chart? Same oil data. What is the Lower Control Limit (LCL) in the xbar-chart? Same oil data. What is the upper boundary value between Zone A and B for the xbar-chart? That is, the boundary between Zones A and B that lie above the process average.arrow_forwardAn X-bar control chart designed with L=3 and constant sample size "n" has UCL=130.013 and LCL=125.987, if the process is under control and its standard deviation is sigma=1.5, what is the sample size "n"? not enough information 4 6 10 8.arrow_forward
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