Consider the and R chart that you established in Exercise 6.9 for the piston ring process. Suppose that you want to continue control charting piston ring diameter using n =3. What limits would be used...


Consider theandRchart that you established in Exercise 6.9 for the piston ring process. Suppose that you want to continue control charting piston ring diameter usingn=3. What limits would be used on theandRchart?



Consider the piston ring data shown in Table 6.3. Assume that the specifications on this component are 74.000 =0.05 mm.


































































































































































































































































































TABLE 6.3



Inside Diameter Measurements (mm) for Automobile Engine Piston Rings



Sample Number



Observations






si



1



74.030



74.002



74.019



73.992



74.008



74.010



0.0148



2



73.995



73.992



74.001



74.011



74.004



74.001



0.0075



3



73.988



74.024



74.021



74.005



74.002



74.008



0.0147



4



74.002



73.996



73.993



74.015



74.009



74.003



0.0091



5



73.992



74.007



74.015



73.989



74.014



74.003



0.0122



6



74.009



73.994



73.997



73.985



73.993



73.996



0.0087



7



73.995



74.006



73.994



74.000



74.005



74.000



0.0055



8



73.985



74.003



73.993



74.015



73.988



73.997



0.0123



9



74.008



73.995



74.009



74.005



74.004



74.004



0.0055



10



73.998



74.000



73.990



74.007



73.995



73.998



0.0063



11



73.994



73.998



73.994



73.995



73.990



73.994



0.0029



12



74.004



74.000



74.007



74.000



73.996



74.001



0.0042



13



73.983



74.002



73.998



73.997



74.012



73.998



0.0105



14



74.006



73.967



73.994



74.000



73.984



73.990



0.0153



15



74.012



74.014



73.998



73.999



74.007



74.006



0.0073



16



74.000



73.984



74.005



73.998



73.996



73.997



0.0078



17



73.994



74.012



73.986



74.005



74.007



74.001



0.0106



18



74.006



74.010



74.018



74.003



74.000



74.007



0.0070



19



73.984



74.002



74.003



74.005



73.997



73.998



0.0085



20



74.000



74.010



74.013



74.020



74.003



74.009



0.0080



21



73.982



74.001



74.015



74.005



73.996



74.000



0.0122



22



74.004



73.999



73.990



74.006



74.009



74.002



0.0074



23



74.010



73.989



73.990



74.009



74.014



74.002



0.0119



24



74.015



74.008



73.993



74.000



74.010



74.005



0.0087



25



73.982



73.984



73.995



74.017



74.013



73.998



0.0162















Σ = 1850.028



0.2351
















=74.001




=0.0094


May 25, 2022
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