Statistics h.

In a gauge MR snidy, 3 inspectors use the same gauge to measure 5 differem batches of parts 5 times each. For each inspector, the averages and ranges of the 5 measurements on each batch are given belovt.r (units are in mm}: Batch Inspector 1 Inspector 2 Inscr 3 Number E R E R i R 1 121} 1 123 2 121 1 2 122 2 121 3 121} 1 3 123 1 124 1 122 2 4 124 3 123 1 122 2 5 121 2 122 2 121 2 Average 122 1.8 122.6 1.5 121.2 1.15 (a) Estimate gauge reproducibility and repeatability (11] points) (b) Suppose the total observed variance {GEN} is 5.60m2. Estimate the variability of the product. ('1' points) (c) Suppose the USL and LSL are 12i15mm. respectively. Assess the capability of the measurement system (5 points)