TABLE 6E.2 Bearing Diameter Data Sample Number Sample R Number 1 34.5 3 2 34.2 4 3 31.6 4 31.5 4 35.0 5 34.1 6 32.6 4 33.8 3 34.8 7 10 33.6 8 11 31.9 3 12 38.6 9 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 x R 35.4 8 34.0 6 37.1 5 34.9 7 33.5 4 31.7 3 34.0 8 35.1 4 33.7 2 32.8 1 33.5 3 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 and R charts on this process. Does the process seem to be in statistical control? If nec- essary, 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.

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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) 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

- TABLE 6E.2
Bearing Diameter Data
Sample
Number i
Sample
Number
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
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 ī and R charts on this process. Does the
process seem to be in statistical control? If nec-
essary, 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.
Transcribed Image Text:- TABLE 6E.2 Bearing Diameter Data Sample Number i Sample Number 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 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 ī and R charts on this process. Does the process seem to be in statistical control? If nec- essary, 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.
6.7. The data shown in Table 6E.2 are ī and R values for
24 samples of size n=5 taken from a process produc-
ing bearings. The measurements are made on the
Transcribed Image Text:6.7. The data shown in Table 6E.2 are ī and R values for 24 samples of size n=5 taken from a process produc- ing bearings. The measurements are made on the
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