OPERATIONS MANAGEMENT IN THE SUPPLY CHAIN: DECISIONS & CASES (Mcgraw-hill Series Operations and Decision Sciences)
7th Edition
ISBN: 9780077835439
Author: Roger G Schroeder, M. Johnny Rungtusanatham, Susan Meyer Goldstein
Publisher: McGraw-Hill Education
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Question
Chapter 9, Problem 8P
a)
Summary Introduction
To construct: X bar and R charts.
b)
Summary Introduction
To determine: If the process is in control.
c)
Summary Introduction
To determine: If the process is creating output outside its specifications.
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A can filling process at a beverage manufacturing factory is assumed to be in control with limits of 84 ±3 had sample
averages for the x-bar chart of the following:87.1,87, 87.2, 89, 90, 88.5, 89.5, and 88. Which of the following statement
?below are correct
Not enough information to determine
.a O
None is correct b O
Process mean is in-control
.c O
Process mean is out-of-control .d O
أخل اختياري
4) E ENG
acer
In process industry during a daily production run, a total of five (05) samples are collected with four (04)
observations within each sample. The sample means (X-bar) are; 14.09, 13.94,16.86, 20.00, and 16.64
respectively. The corresponding ranges are; 9.90, 7.73, 4.41, 7.56, and 3.49 respectively. The lower and upper
control limits of the x-bar chart are
respectively
O a. 11.44, 20.66
O b. 11.29, 20.65
C.
None is correct
Od.
11.47, 21.14
e.
11.47, 16.55
Why is it important to prove that a process is proven capable before developing statistical control limits (i.e., SPC charts)?
Chapter 9 Solutions
OPERATIONS MANAGEMENT IN THE SUPPLY CHAIN: DECISIONS & CASES (Mcgraw-hill Series Operations and Decision Sciences)
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- In a fabric manufacturing factory, the quality contral process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 4 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart?arrow_forwardA quality inspector took five samples in five hours, each with four observations, of the length time for glue to dry. The analyst compute the mean of each sample and the computed the grand mean. All values are in minutes. Use this information to obtain three-sigma control limits for means. It is known from previous experience that the standard deviation of the process is 0.02 minutes. Draw a control chart Please provide a step-by-step solutionarrow_forwardA can filling process at a beverage manufacturing factory is assumed to be in control with limits of 89 ± 4 had sample averages for the x-bar chart of the following: 87.1,87,87.2, 89, 90, 88.5, 89.5, and 88. Which of the following statement below are correct? O a. None is correct O b. Process mean is out-of-control Not enough information to determine O d. Process mean is NOT out-of-control NEXT PAGE PAGEarrow_forward
- In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart? ר O a. 142.92, 160.66 O b. 144.77,159.11 Oc. None is correct O d. 143.55, 165.47 O e. 156.55, 170.47 Of. 145.40, 190.72 OUS PAGE NEXT PAGE Type here to search - F5 F7 Pris F8 F9 F10 F12 %23 & 3 5 V 8 19 E T Y H. J K 1. 10 C V B NiM Alt く I LIarrow_forwardIn a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart? O a. None is correct O b. 144.77,159.11 O c. 156.55, 170.47 d. 143.55, 165.47 e. 145.40, 190.72 f. 142.92, 160.66arrow_forwardIn a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 4 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 172.11,219.58, 208.24, 112.44, and 123.30 respectively. In the same sample, the corresponding ranges are: 13.17, 13.38, 15.34, 13.04, and 13.02 respectively What are the lower and upper control limits for the R chart? O a. 0,31.47 O b. 0,30.99 Oc. None is correct O d. 0,29.17 O e. 0,31.17 O f. 0,28.17arrow_forward
- 1. The data shown in Table 1 are x and R values for 20 samples of size n= 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals recorded (i.e., 31.6 should be 0.50316). Please show all your work for full credit. (a) Set up x and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits. (b) Assume that diameter is normally distributed. Estimate the process standard deviation. Sample R Sample R 1 31.6 4 11 29.8 4 33.0 3 12 34.0 4 35.0 4 13 33.0 10 4 32.2 4 14 34.8 4 5 33.8 38.4 31.6 15 35.6 7 3 16 30.8 7 4 17 33.0 5 8 36.8 10 18 31.6 3 9. 35.0 15 19 28.2 9 10 34.0 6 20 33.8 Table 1: Bearing Diameter Dataarrow_forwardThe overall average on a process you are attempting to monitor is 60.0 units. The process population standard deviation is 1.72. Sample size is given to be 4. Part 2 a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCLx)=enter your response here units (round your response to two decimal places). Part 3 Lower Control Limit (LCLx)=enter your response here units (round your response to two decimal places). Part 4 b) Now determine the 2-sigma x-chart control limits. Upper Control Limit (UCLx)=enter your response here units (round your response to two decimal places). Part 5 Lower Control Limit (LCLx)=enter your response here units (round your response to two decimal places). Part 6 How do the control limits change? A. The control limits are tighter for the 3-sigma x-chart than for the 2-sigma x-chart. B. The control limits for the 2-sigma x-chart and for the 3-sigma x-chart are the same. C. The control limits…arrow_forwardA manager wishes to build a control chart for a process. A total of hve (05) samples are collected with six x(06) observations within each sampleThe sample means (X-bar) are15.36, 14.61, 16.36, 20.28and 15.77 respectively. Also, the corresponding ranges are 8, 37, 4.81, 8.17 and 3.31 respectivelyThe lower and upper control limits of the x-bar chart are respectivelyarrow_forward
- Our company has recently received a few customer complaints that its candles are not lasting the minimum 50 days previously advertised by the company. As the newly hired quality analyst you are planning to construct control charts that will give you a sense of the current status of the production process. To this end you have collected samples from 20 production batches. Use Microsoft Excel with answer based on both x̄-chart and R-chart plots -Is the candle production process in control? -What is your comment regarding the customer complaints? -Is there any scope of improvement? Use Microsoft Excel with answer based on both x̄-chart and R-chart plotsarrow_forwardAuto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R 4.48 mm (round your response to two decimal places). c) What are the UCL; and LCL; using 3-sigma? Day 1 2 3 4 5 Upper Control Limit (UCL) = 156.94 mm (round your response to two decimal places). Lower Control Limit (LCL-) = 154.18 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCL) = 7.96 mm (round your response to two decimal places). Mean x (mm) 154.9 153.2 155.6 155.5 158.6 Range R (mm) 4.0 4.8 3.9 5.0 4.7 Lower Control Limit (LCL) = 1.00 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want…arrow_forwardStudies on a machine that molds plastic water pipe indicate that when it is injecting1-inch diameter pipe, the process standard deviation is 0.05 inches. The one-inchpipe has a specification of 1-inch plus or minus 0.10 inch. What is the processcapability index (Cp) if the long-run process mean is 1 inch?arrow_forward
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