Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 9, Problem 7CQ
Summary Introduction
To determine: The correct option for the given information.
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Each of the processes listed is noncentered with respect to the specifications for that process.Compute the appropriate capability index for each, and decide if the process is capable.Process Mean Standard Deviation Lower Spec Upper SpecH 15.0 0.32 14.1 16.0K 33.0 1.00 30.0 36.5T 18.5 0.40 16.5 20.1
2. A process screens a certain type of a certain type of potash granule, resulting in a mean diameter of 0.03cm and a standard deviation of 0.003cm. The allowable variation in granule diameter is from 0.02 cm to 0.04 cm. a) Calculate the capability ratio Cp for the process. b) Is the process capable?
24. Each of the processes listed is non-centered with respect to the specifications for that process.
Compute the appropri ate capability index for each, and decide if the process is capable.
Process
Mean
Standard Deviation
Lower Spec
Upper Spec
H
15.0
0.32
14.1
16.0
K
33.0
1.00
30.0
36.5
18.5
0.40
16.5
20.1
25. An appliance manufacturer wants to contract with a repair shop to handle authorized repairs
in Indianapolis. The company has set an acceptable range of repair time of 50 minutes to
90 minutes. Two firms have submitted bids for the work. In test trials, one firm had a mean
repair time of 74 minutes with a standard deviation of 4.0 minutes and the other firm had a
mean repair time of 72 minutes with a standard deviation of 5.1 minutes. Which firm would
you choose? Why?
Chapter 9 Solutions
Operations Management
Ch. 9 - Prob. 1CQCh. 9 - Prob. 2CQCh. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - Prob. 8CQCh. 9 - Prob. 9CQCh. 9 - Prob. 10CQ
Ch. 9 - Prob. 11CQCh. 9 - Prob. 12CQCh. 9 - Prob. 13CQCh. 9 - Prob. 14CQCh. 9 - Prob. 15CQCh. 9 - Prob. 16CQCh. 9 - Prob. 17CQCh. 9 - Prob. 18CQCh. 9 - Prob. 1PACh. 9 - Prob. 2PACh. 9 - Prob. 3PACh. 9 - Prob. 4PACh. 9 - Prob. 5PACh. 9 - Prob. 6PACh. 9 - Prob. 7PACh. 9 - Prob. 8PACh. 9 - Prob. 9PACh. 9 - Prob. 10PACh. 9 - Prob. 11PACh. 9 - Prob. 12PACh. 9 - Prob. 1CCh. 9 - Prob. 2C
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- A process that produces computer chips has a mean of .04 defective chip and a standard deviationof .003 chip. The allowable variation is from .03 to .05 defective.a. Compute the capability index for the process.b. Is the process capable?arrow_forwardREPOSTING QUESTION FOR PART 2 Consider the following table: SS DF MS Test Statistic Among Treatments 1664.4 Error ? 11 370.45 Total 16 Step 4 of 8: Calculate the value of the test statistic. Please round your answer to two decimal places. Step 5 of 8: What is the sum of squares of sample means about the grand mean? Please round your answer to two decimal places. Step 6 of 8: What is the variation of the individual measurements about their respective means? Please round your answer to two decimal places. Step 7 of 8: What is the critical value at the 0.05 level? Please round your answer to four decimal places, if necessary. Step 8 of 8: Is the test statistic significant at 0.05?arrow_forward6-9. A process that produces computer chips has a mean of .04 defective chip and a standard deviation of .003 chip. The allowable variation is from .03 to .05 defective. (a) Compute the capability index for the process (b) Is the process capable?arrow_forward
- K The 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. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCL) = Lower Control Limit (LCL) = b) Now determine the 2-sigma x-chart control limits. Upper Control Limit (UCL) = Lower Control Limit (LCL) = units (round your response to two decimal places). units (round your response to two decimal places). units (round your response to two decimal places). units (round your response to two decimal places).arrow_forward1. The overall average on a process you are attempting to monitor is 55.0 units. The process population standard deviation is 1.84. Sample size is given to be 16. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCLx)=56.3856.38 units (round your response to two decimal places). Lower Control Limit (LCLx)=53.6253.62 units (round your response to two decimal places). b) Now determine the 2-sigma x-chart control limits. Upper Control Limit (UCLx)=? units (round your response to two decimal places). 2. Sample Size, n Mean Factor, A2 Upper Range, D4 Lower Range, D3 2 1.880 3.268 0 3 1.023 2.574 0 4 0.729 2.282 0 5 0.577 2.115 0 6 0.483 2.004 0 7 0.419 1.924 0.076 8 0.373 1.864 0.136 9 0.337 1.816 0.184 10 0.308 1.777 0.223 12 0.266 1.716 0.284 Thirty-five samples of size 7 each were taken from a…arrow_forwardBlueMoon Bottlers has a bottle-filling process with a mean value of 64 ounces and a standard deviation of 8 ounces. Suppose the upper and lower specification limits are 71 and 57 ounces, respectively. What is the process capability index of this process? (Note: You MUST show every single step and detailed derivation for full credit)arrow_forward
- The 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_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= 156.76 mm (round your response to two decimal places). b) What is the value of R? Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 R = 4.40 mm (round your response to two decimal places). c) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCL) = mm (round your response to two decimal places). Range R (mm) 4.2 4.4 4.3 4.8 4.3 Çarrow_forwardInter-State Moving and Storage Company wishes to establish a control chart to monitor the proportion of residential moves that result in written complaints due to late delivery, lost items, or damaged items. A sample of 40 moves is selected for each of the last 12 months. The number of written complaints in each sample is 9, 7, 4, 9, 1, 9, 11, 5, 5, 8, 7, and 15. Number Defective Percent defective 9 18 7 14 4 8 9 18 1 2 9 18 11 22 5 10 5 10 8 16 7 14 15 30 a. Insert the mean proportion defective, UCL, and LCL. (Leave no cells blank - be certain to enter "0" wherever required. Round your intermediate calculations and final answers to 2 decimal places.) Mean proportion defective UCL LCL c. Does it appear that the number of complaints is out of control for any of the months?multiple choice Yes Noarrow_forward
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