Abstract
The process variability with respect to surface roughness as measured by Rα and -Rmax values in single point oblique finish turning of a carbon steel is systematically studied on a statistical basis throughout the life of the tool. Thus, firstly, the effect of tool wear on surface roughness is considered. Furthermore, cumulative distributions of Rα and -Rmax values are presented to illustrate how well the observed data fits the theoretical. A x2 statistical test of significance was applied to test the normality of these distributions. Normality was established for all distributions dealt with mostly at 5% significance level. Process variability, then, is quantitatively determined according to the experimental data analysed herein. Finally, application of the distributions modelled for setting control limits for sample means of surface roughness values is discussed.

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