The 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 and the process range is in statistical control. b. Is the process capable of meeting the design standard at four-sigma quality? Explain. The Cpk is equal to 0.409, so the process is not capable. (Enter your response rounded to three decimal places.) Factors for calculating three-sigma limits for the x-chart and R-chart Size of Sample (n) Factor for UCL and LCL for x-chart (A2) Factor for LCL for R-Chart (D3) Factor for UCL for R-Chart (D4) 23456788 1.880 0 3.267 1.023 0 2.575 0.729 0 2.282 0.577 0 2.115 0.483 0 2.004 0.419 0.076 1.924 0.373 0.136 1.864 9 0.337 0.184 1.816 10 0.308 0.223 1.777
The 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 and the process range is in statistical control. b. Is the process capable of meeting the design standard at four-sigma quality? Explain. The Cpk is equal to 0.409, so the process is not capable. (Enter your response rounded to three decimal places.) Factors for calculating three-sigma limits for the x-chart and R-chart Size of Sample (n) Factor for UCL and LCL for x-chart (A2) Factor for LCL for R-Chart (D3) Factor for UCL for R-Chart (D4) 23456788 1.880 0 3.267 1.023 0 2.575 0.729 0 2.282 0.577 0 2.115 0.483 0 2.004 0.419 0.076 1.924 0.373 0.136 1.864 9 0.337 0.184 1.816 10 0.308 0.223 1.777
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
Related questions
Question
Transcribed Image Text:The 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 and the process range is in
statistical control.
b. Is the process capable of meeting the design standard at four-sigma quality? Explain.
The Cpk is equal to 0.409, so the process is not capable. (Enter your response rounded to three decimal places.)
Transcribed Image Text:Factors for calculating three-sigma limits for the x-chart and R-chart
Size of
Sample (n)
Factor for UCL and LCL
for x-chart (A2)
Factor for LCL
for R-Chart (D3)
Factor for UCL
for R-Chart (D4)
23456788
1.880
0
3.267
1.023
0
2.575
0.729
0
2.282
0.577
0
2.115
0.483
0
2.004
0.419
0.076
1.924
0.373
0.136
1.864
9
0.337
0.184
1.816
10
0.308
0.223
1.777
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
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
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.