2. (20 points) Five parts are measured three times by two operators in a gauge capability study. The data are shown below Operator 1 Measurement Operator 2 Measurement Part Number 1 2 3 R Xbar 1 2 3 R Xbar R (Xbar) 1 99 101 100 99 102 101 2 95 94 96 96 95 95 3 100 103 102 101 102 101 4 96 95 97 95 96 97 5 99 98 96 99 100 97 (a) Estimate gauge variability , (using R/d to estimate and ). (b) Estimate product variability p. This can be done by subtracting gauge variability from total variability. Also note that total variability can be obtained by computing the sample standard deviation from all 30 measurements. (c) Comment on the adequacy of the gauge based on %GRR. (d) If specifications on the part are set at 100+15, find the Precision/Tolerance (P/T) ratio for this gauge. Comment on the adequacy of the gauge based on the P/T ratio.