EBK OM
6th Edition
ISBN: 9781305888210
Author: Collier
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 16, Problem 13PA
Summary Introduction
Interpretation: process capability indexes are to be computed and interpreted.
Concept Introduction: A statistical tool used for measuring the process’ ability for producing the output within the limits of the specification.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Auto 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 5 pistons produced each day, the mean and the range of this diameter have
been as follows:
Day
Mean (mm)
Range R (mm)
158
4.3
151.2
4.4
155.7
4.2
153.5
4.8
156.6
4.5
What is the UCL using 3-sigma?(round your response to two decimal places).
1.
2.
4.
For 50 consecutive days, a process engineer has measured the weight of acomponent after it has been coated with a special paint. Each day, she takes a sampleof 10 components. The average across all 500 components (50 days, 10 componentsper day) is 45.343018 grams. The standard deviation across all parts is 0.0076382 gram.When constructing an X-bar chart, what would be the center line and what would be thelines for the upper and lower control limits?
At Webster Chemical Company, lumps in the caulking compound could cause difficulties in dispensing a smooth bead from the tube. Testing for the presence of lumps destroys the product, so an analyst takes random samples. The following results are obtained:
Tube No.
Lumps
Tube No.
Lumps
Tube No.
Lumps
1
6
5
6
9
0
2
7
6
5
10
5
3
2
7
5
11
2
4
4
8
8
12
3
Determine the c-chart
two-sigma
upper and lower control limits for this process. Is the process in statistical control?
The
UCLc
equals
------
and the
LCLc
equals
------
(Enter
your responses rounded to two decimal
places.)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- c) A process manufactures ball bearing whose diameters are normally distributed with mean 2.505cm and standard deviation 0.008cm.Specifications call for the diameter to be in the interval 2.5 ‡ 0.01 cm. estimate the proportion of the ball bearings will meet the specification?arrow_forwardThe production manager at Sunny Soda, Inc., is interested in tracking the quality of the company's 12-ounce bottle filling line. The bottles must be filled within the tolerances set for this product because the dietary information on the label shows 12 ounces as the serving size. The design standard for the product calls for a fill level of 12±0.10 ounces. The manager collected the accompanying sample data (in fluid ounces per bottle) on the production process. Click the icon to view the sample data. Click the icon to view the table of factors for calculating three-sigma limits for the xachaR-chart. Design an R- and an x-chart for this process. The UCLR equals 0.371 ounces and the LCLR equals 0.000 ounces. (Enter your responses rounded to three decimal places.) The UCL equals 12.115 ounces and the LCL equals 11.878 ounces. (Enter your responses rounded to three decimal places.) a. Are the process average and range in statistical control? The process average is in statistical control…arrow_forwardWe want to determine the AOQ for an acceptance samplingplan when the quality of the incoming lots in percent defectiveis 1.5%, and then again when the incoming percent defective is 5%.T he sample size is 80 units for a lot size of 550 units. Furthermore,Pa at 1.5% defective levels is 0.95. At 5% incoming defective levels,the Pa is found to be 0.5. Determine the average outgoing qualityfor both incoming percent defective levels.arrow_forward
- Management at Webster Chemical Company is concerned as to whether caulking tubes are being properly capped. If a significant proportion of the tubes are not being sealed, Webster is placing its customers in a messy situation. Tubes are packaged in large boxes of 135. Several boxes are inspected, and the following numbers of leaking tubes are found: View an example Sample 1 2 3 Get more help. 4 Tubes 7 7 8 5 1 5 6 7 Calculate p-chart three-sigma control limits to assess whether the capping process is in statistical control. The UCL, equals 1 Sample 8 8 9 10 11 12 13 14 Tubes 7 2 4 8 6 9 MacBook Pro 3 Sample 15 16 17 18 19 20 Total Tubes 8 3 3 5 and the LCL equals (Enter your responses rounded to three decimal places. If your answer for LCL, is negative, enter this value as 0.) 3 6 104 Clear all Check answer Oarrow_forward< Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: Hour X 1 2 3 4 5 6 R 3.25" 0.65" 3.00 1.23 3.32 1.43 3.39 1.26 3.07 1.17 2.96 0.37 Hour X R Hour R Hour 7 2.95" 0.48" 13 X 3.11" 0.90" 2.73 1.36 19 20 8 2.55 1.18 14 9 0.71 3.12 1.11 21 3.12 2.85 15 16 10 1.38 2.74 0.50 22 11 2.83 1.22 17 2.86 1.38 23 12 3.07 0.45 18 2.64 1.29 24 X 4.51" 2.89 2.65 3.18 3.04 2.54 R 1.56" 1.14 1.13 0.51 1.58 1.02 Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Upper Control Limit (UCL) = inches (round your response to three decimal places).arrow_forwardNeed help on calculating control limits for x-bar and r-chart based on the samples below: Sample No X-BAR (Sample Mean) R (Sample Range) X-BAR R 1 28.2151942 9.5450186 2 30.5767201 11.1032318 3 29.0253789 5.52221327 4 29.9431791 6.27087883 5 29.947177 12.7568255 6 29.6848334 11.4927456 7 29.2539019 4.72514932 8 29.6694257 13.9330532 9 30.1590205 6.33461804 10 28.6867307 6.49522527 11 30.5960109 8.13717125 12 29.4390565 5.80286433 13 31.863426 3.40227918 14 32.3716448 8.62217828 15 29.7052597 10.0026916 16 30.0060069 4.25003967 17 32.8491753 4.6515662 18 33.5023103 9.62764088 19 28.1876404 9.6980397 20 30.5043768 6.46724539 21 29.6856417 7.65071069 22 32.5728395 9.2483604 23 28.2363719 7.54975234 24 29.6579999 11.3224787 25 28.1319897 13.213391 26 28.8811004 8.08405181 27 31.6730765 12.9865678 28 28.2078142 5.96315947 29 27.9430689 7.39518992 30 29.6269815 9.48802129 31 34.3599108 7.66563648 32 28.2423234 7.34122645…arrow_forward
- Hermitage DNA Labs, LLC collected temperature readings in an analysis process. The data can be found in the Problems Data Compute the mean and range of each sample and calculate control limits for x-bar and R charts using the appropriate From the charts constructed, does the process appear to be in statistical control?arrow_forwardA 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_forwardEach 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 20.1arrow_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 time to replace vehicle wiper blades at a service center was monitored using a mean and a rangechart. Six samples of n = 20 observations were obtained and the sample means and ranges computed:Sample Mean Range Sample Mean Range1 3.06 .42 4 3.13 .462 3.15 .50 5 3.06 .463 3.11 .41 6 3.09 .45 a. Using the factors in Table 10.3, determine upper and lower limits for mean and range charts.b. Is the process in control?arrow_forwardConstruct a 3-sigma X-bar chart for the length in centimeters of a part from the following tabble . What is the upper controt limit? sample observation 1 observation 2 observation 3 observation 4 1 0.486 0.499 0.493 0.511 2 0.499 0.506 0.516 0.494 3 0.496 0.5 0.515 0.488 4 0.495 0.506 0.483 0.487 5 0.472 0.502 0.526 0.469 6 0.473 0.495 0.507 0.493 7 0.495 0.512 0.49 0.471 8 0.525 0.501…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Operations ManagementOperations ManagementISBN:9781259667473Author:William J StevensonPublisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...Operations ManagementISBN:9781259666100Author:F. Robert Jacobs, Richard B ChasePublisher:McGraw-Hill Education
Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...Operations ManagementISBN:9781478623069Author:Steven Nahmias, Tava Lennon OlsenPublisher:Waveland Press, Inc.
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Operations Management
Operations Management
ISBN:9781259667473
Author:William J Stevenson
Publisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...
Operations Management
ISBN:9781259666100
Author:F. Robert Jacobs, Richard B Chase
Publisher:McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...
Operations Management
ISBN:9781478623069
Author:Steven Nahmias, Tava Lennon Olsen
Publisher:Waveland Press, Inc.