Question: 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.

In a study to isolate both gage repeatability and

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 2.5+0.05, what can you say about the gage capability? Operator 2 Measurements 3 2.518 1 2.491 2.488 2.495 2.506 2.503 Operator 1 Measurements Part Part # 1 2 3 Ave Range # 1 2.505 2.502 2.508 2.505 0.006 1 2 2.503 2.513 2.514 2.510 0.012 2 3 2.480 2.520 2.496 2.499 0.040 3 4 2.500 2.493 2.508 2.500 0.015 4 5 2.493 2.498 2.476 2.489 0.022 5 6 2.480 2.505 2.492 2.493 0.025 6 7 2.509 2.502 2.495 2.502 0.014 7 8 2.486 2.501 2.501 2.496 0.016 8 9 2.522 2.470 2.519 2.504 0.053 9 10 2.491 2.487 2.509 2.495 0.022 10 2.487 2 2.501 2.505 2.500 2.494 2.507 2.509 2.493 2.512 Ave 2.504 2.499 2.494 2.501 2.511 2.504 Range 0.027 0.017 0.013 0.012 0.017 0.012 0.004 0.020 0.018 2.522 2.505 2.501 2.507 2.513 2.498 2.496 2.496 2.508 2.496 2.484 2.516 2.502 2.499 2.502 2.489 2.496 2.506 2.498 0.018 = = 2.501 R = 0.016 = 0.009 = 2.499 R = 0.022 = 0.013 cementeron oqage = Ofeproducibility to Rx + +...+R, dz = = measurementerior repeatability = = R = R = tmar -min Fmax = max(, , ...) , Emin = min( 7 , I ....) jm, = R P reprocheibility = repeatability II R. d2 Il = Ootal = o product + Orange +62 = gage d2 60 P/T = gage USL - LSL

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