# Question

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 “between/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 “within” chart.

(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 “between/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 “within” chart.

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