The diameter of the casting in Figure 6.25 is also an important quality characteristic. A coordinate measuring machine is used to measure the diameter of each casting at five different locations. Data for 20 casting are shown in the Table 6E.33.

(a) Set up x and R charts for this process, assuming the measurements on each casting form a rational subgroup.
(b) Discuss the charts you have constructed in part (a).
(c) Construct €œbetween/within€ charts for this process.
(d) Do you believe that the charts in part (c) are more informative than those in part (a)? Discuss why.
(e) Provide a practical interpretation of the €œwithin€ chart.

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TABLE 6E.33 Diameter Data for Exercise 6.79 10 17914 11.7613 11.7356 117628 11.707 11 1.7260 11.7329 .7424 117645 11.7571 12 11.7202 11537 328 1582 117265 13 18356 971 .8023 17802 11.7903 14 11769 11.492 117329 11.7289 15 117116 17978 17982 11.7429 117154 16 11.7165 11.7284 157 11.7597 117317 17 1.8022 11.8127 .7864 1.7917 118167 18 19 1.7753 11.7870 .7574 17620 117673 20 11.7572 7626 11.7523 11.7395 11.7884 Diameter Casting 117629 1.7403 7474 11.7374 11.8122 1.506 11.7787 1.7736 118412 1742 117114 11.7530 1.7532 11.7773 11.7833 11.7311 117777 11.8108 11.7804 134 68T0 117305 7419 .6642 117175 11372 11241 11.7773 11.7543 116916 720 6958 .7440 17062 8 11.09 11.7832 11.7496 11.7496 11.7318 9 984 1.8887 72 8485 1.8416