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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
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...
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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: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
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
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