The data shown in Table 6E.2 are x and R values for 24 samples of size n = 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals recorded (i.e., 34.5 should be 0.50345).

(a) Set up x and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits.
(b) pˆ Pr{x  LSL} Pr{x  USL}  Pr{x  20} Pr{x  40}  Pr{x  20}  1Pr{x  40}

TABLE 6E.2 Bearing Diamcter Data Sample Number r R Sample Number R 34.5 3 2 34.2 414 34.0 6 3 31.6 4 4 31.5 4 5 35.0 5 6 34.1 6 7 32.6 4 8 33.3 9 34.8 7233.7 2 10 33.6 8 II 31.9 3 23 335 13 354 8 15 37.1 5 16 349 7 17 33.5 4 18 31.7 3 19 34.0 8 20 35.1 4 22 38 12 38.6 92434.2 2