In a study to isolate both gauge repeatability and gauge reproducibility, two operators use the same gauge to measure ten parts three times each. The data are shown in Table 8E.10.

(a) Estimate gauge repeatability and reproducibility.
(b) Estimate the standard deviation of measurement error.
(c) If the specifications are at 50 ± 10, what can you say about gauge capability?

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TABLE 8E.10 Measurement Data for Exercise 8.32 Operator 1 Operator 2 Measurements Measurements Number 1 2 3 1 2 3 50 49 505048 51 2 52 52 51 51 51 51 53 50 50 54 52 51 4 49 51 50 48 50 51 48 49 48 48 49 48 52 0 s0 52 50 50 7 51 515 51 5050 52 50 49 53 48 50 9 50 5 50 51 4849 10 47 46 49 46 47 48 Part 8