Question: An article in Quality Engineering [Is the Process Capable? Tables and Graphs in Assessing C pm (1992, Vol. 4(4)]. Considered manufacturing data. Specifications for the

An article in Quality Engineering [€œIs the Process Capable? Tables and Graphs in Assessing C_pm€ (1992, Vol. 4(4)]. Considered manufacturing data. Specifications for the outer diameter of the hubs were 60.3265 ± 0.001 mm. A random sample with size n = 20 was taken and the data are shown in the following table:

Sample Sample 60.3262 11 60.3262 60.3262 12 60.3262 60.3269 3 60.3262 13 4 60.3266 14 60.3261 5 60.3263 15 60.3265 60.32

(a) Construct a control chart for individual measurements. Revise the control limits if necessary.

(b) Compare your chart in part (a) to one that uses only the last (least significant) digit of each diameter as the measurement. Explain your conclusion.

(c) Estimate Î¼ and Ïƒ from the moving range of the revised chart and use this value to estimate PCR and PCR_k and interpret these ratios.

Sample Sample 60.3262 11 60.3262 60.3262 12 60.3262 60.3269 3 60.3262 13 4 60.3266 14 60.3261 5 60.3263 15 60.3265 60.3260 16 60.3266 60.3262 17 60.3265 60.3267 18 60.3268 60.3263 19 60.3262 60.3266 10 60.3269 20

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