Question: Let piston be the R object containing the 40 subgroups of the pistonrings data set arranged into 40 rows of size 5 (see Example 13.2-2).

Let piston be the R object containing the 40 subgroups of the pistonrings data set arranged into 40 rows of size 5 (see Example 13.2-2).

(a) Construct the CUSUM chart for the first 25 subgroups and the CUSUM chart for all 40 subgroups using the first 25 subsamples as the calibration data. For both charts, use the default reference value and decision interval, and estimate

σ from the subgroup standard deviations.

(b) Construct the tabular form of the DIS CUSUM procedure for the first 25 subgroups, using reference value k = 0.5 and decision interval h = 5.

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