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In a study to isolate both gauge repeatability and gauge reproducibility, two operators use the same gauge to measure 10 parts three times each. The data are shown here. Operator 1 Measurements Operator 2 Measurements 2 48 51 52 50 49 50 50 48 48 47 Part Number 1 50 52 53 49 48 52 51 52 50 47 49 52 50 51 49 50 51 50 51 46 50 51 50 50 48 50 50 51 54 48 48 52 51 53 51 46 51 51 51 51 48 50 50 50 49 48 4 7 49 50 49 (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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Solution: ,5003, R-1.70,,-49.87, R, -2.30 R -2.00, 3repeat measurements; d,-1.693 wvatabiliRd 2.00/1.693 1.181 R0.167,n 2 opeƠmeasurement error-1.190 o, Specifications: 50±10 = 60,age x100 = 6( 1:190) × 100 = 71.4% T USL-LSL 10 Since the P/T ratio 71

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