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Scholars Journal of Physics, Mathematics and Statistics | Volume-2 | Issue-03
Simulation for Performance Analysis of Some Capability Indices on Net-Volume Content of 35cl Coca-Cola Soft Drinks
Babagana Modu
Published: June 25, 2015 | 105 71
DOI: 10.36347/sjpms
Pages: 283-288
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Abstract
This paper examined the statistical performance of some capability indices such as Cp and Cpk using simulation. Statistical software R version 3.1.3 was used in generating data sets on net-volume contents of 35cl coca-cola soft drink as well as the analysis. The production specification standard is 350±2.5%∗T (where T is the target value of the production). This information was collected from Quality Assurance Department of Nigerian Bottling Company. However, the natural variations are part and parcel or considered inherent to any manufacturing industries. A Nigerian Bottling Company producer of soft drinks is not free of natural variation. The values of capability indices Cp (1.48) and Cpk (1.47) were computed and reported in the capability plot histogram together with confidence interval at the indicated level of significant. The quality condition of the production based on the analysis presented and shows satisfactory performance of the production. Operating characteristics curves were established and observed that the process have better performance for not detecting shift with the associated probability of type II error