The production manager at Sunny Soda, Inc., is interested in tracking the qualit
ID: 380591 • Letter: T
Question
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 plus or minus 0.10 ounces. The manager collected sample data (in fluid ounces per bottle) on the production process and then calculated values for the process capability index and yje process capability ratio If the process capability index is 1.473 and the process capability ratio is 1.532, is the process capable of meeting the design standard at four-sigma quality? 0 A, no, because there is too much data outside the allowable tolerances B. no, because the process is not centered correctly O C. yes If the process capability index is 0.885 and the process capability ratio is 1.253, is the process capable of meeting the design standard at three-sigma quality? A. no, because there is too much data outside the allowable tolerances OB. yes OC. no, because the process is not centered correctiy If the process capability index is 1.276 and the process capability ratio is 1.132, is the process capable of meeting the design standard at four-sigma quality? OA, yes O B. no, because there is too much data outside the allowable tolerances ° C. no, because the process is not centered correctly If the process capability index is 1.071 and the process capability ratio is 1.253, is the process capable of meeting the design standard at three-sigma quality? 0 A, no, because the process is not centered correctly OB. yes C. no, because there is too much data outside the allowable tolerancesExplanation / Answer
1. C. The process is capable as the process capability ratio is 1.473 which is greater thn 1.33, the value necessary for the process to comply with four sigma standards.
2. C, The process capability index of 0.883 indicates that the process is not centered crrectly.
3.B. No, because the process capability index does not meet the minimum level of 1.33 for four sigma quality.
4. B Yes because the values are higher than the minimum required for three sigma quality (1)
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