Question: Measuring capability (optional). You are in charge of a process that makes metal clips. The critical dimension is the opening of a clip, which has

Measuring capability (optional). You are in charge of a process that makes metal clips. The critical dimension is the opening of a clip, which has specifications 15 ± 0.5 millimeters

(mm). The process is monitored by x and s charts based on samples of 5 consecutive clips each hour. Control has recently been excellent. The 200 individual measurements from the past week’s 40 samples have x = 14.99 mm s = 0.2239 mm A Normal quantile plot shows no important deviations from Normality.

(a) What percent of clip openings will meet specifications if the process remains in its current state?

(b) Estimate the capability index Cpk .

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