The data Shown in the x and R values for Poloading to Aable are 24 Samples Size 5 from a process producing bearing the meas urement are made on the inside diameter of bearing Only last 3 decimal recorded Live 34.5 Shoulda) Set up in & chant Dres process in Contool? neccessary. find the d0 2 ^ 1 limit of0.50345)) if specification are O-5030 ± 0.0010 find the Conforming.
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TABLE 6E.2 Bearing Diameter Data Sample Number x R Sample Number x R 1 34.5 3 13 35.4 8 2 34.2 4 14 34.0 6 3 31.6 4 15 37.1 5 4 31.5 4 16 34.9 7 5 35.0 5 17 33.5 4 6 34.1 6 18 31.7 3 7 32.6 4 19 34.0 8 8 33.8 3 20 35.1 4 9 34.8 7 21 33.7 2 10 33.6 8 22 32.8 1 11 31.9 3 23 33.5 3 12 38.6 9 24 34.2 2 inside diameter of the bearing, with only the last three decimals recorded (i.e., 34.5 should be 0.50345). (a) Set up x̄ and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits. (b) If specifications on this diameter are 0.5030 ± 0.0010, find the percentage of nonconforming bearings produced by this process. Assume that diameter is normally distributed.
Patha S.
34.5 34.2 31.6 31.5 35.0 34.1 32.6 33.8 34.8 33.6 31.9 38.6 35.4 34.0 37.1 34.9 33.5 31.7 34.0 35.1 33.7 32.8 33.5 34.2 Example 1 The data shown here are x̄ 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. a) Set up x-bar and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits. b) Estimate the process standard deviation
Thuc N.
Problem 2. (15 pts) The data shown in Table 2 are x̄ 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) (8 pts) Set up x̄ and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits. (b) (7 pts) If specifications on this diameter are 0.5030 0.0010, find the percentage of nonconforming bearings produced by this process. Assume that diameter is normally distributed.
Shyam P.
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