In a study to isolate both gage repeatability and gage reproducibility, two operators use the same gage to measure 10 parts two three times each. Estimate the gage repeatability and reproducibility. Estimate the standard deviation of the measurement error. If the specification calls for 50 +10, what can you say about the gage capability? Operator 1 Measurements Operator 2 Measurements Part # Part # 1 2 3 Ave 1 2 3 3 48 1 2 50 52 49 52 1 2 Range 1 1 3 51 51 Ave 49.7 51 50 51 50 50 50 51 54 48 Range 3 0 3 3 49.67 51.67 51 50 48.33 3 53 50 3 51 52.3 4 49 51 2 4 4 51 49.7 5 48 49 48 1 5 48 48 48.3 1 6 52 50 50.67 6 52 50 51 52 50 49 50 50 48 48 47 50 51 N 2 0 50.7 50.3 7 51 7 50 51 50.33 8 52 49 3 8 51 53 51 50 51 50 51 46 50.3 1 5 3 2 9 50 50 50.33 49.3 1 3 9 10 49 48 10 47 49 47.33 46 47 = = = 50.03 R=1.7 = = 49.9 R = 2.3 = 1.47 = = 1.31 + measurementerior gage = = reproducibility o repeatability R2 + R2 + ... +R, R Rs Rp = max min . Fmax = max(7 , &z ,...) Imin = min(5, ...) , ) 11 R d = repeatability = reproducibility = dz