Engineers at a manufacturing plant wish to monitor the outside diameter of a motor shaft that is
machined on a CNC turning center. The target value is 2.1250 inches with a tolerance of ±0.0010
inch. The data below, which originally appeared in Statistical Quality Design and Control by R.E.
DeVor, T.Chang, & J.W. Sutherland, Macmillan Publishing Co., 1992, p 186, are outside diameters
for subgroups of five consecutive parts. The subgroups are spaced approximately 12 hour apart. The
measurements are made in inches to the nearest ten-thousandth of an inch. Only the last two digits
are displayed, i.e. 2.1247 appears as 47.
Sample
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
X1
48
48
50
50
51
44
51
46
54
54
57
51
42
43
41
60
48
46
52
62
58
50
47
56
39
40
48
36
51
43
43
29
36
48
45
X2
59
52
49
41
49
47
57
63
53
46
56
49
47
50
54
45
50
39
32
50
52
56
53
55
54
43
48
45
48
50
43
42
43
42
51
X3
42
51
60
48
60
54
53
63
53
55
53
67
48
44
59
52
45
43
54
47
57
44
42
44
54
59
34
43
24
40
49
43
43
43
43
X4
40
50
44
43
60
45
48
41
46
58
37
50
39
38
53
46
40
61
45
57
54
44
40
58
44
36
43
32
55
53
31
42
49
39
39
X5
32
52
48
41
47
50
45
41
55
62
42
48
61
40
37
55
63
41
50
47
63
38
46
49
63
46
62
38
54
41
47
43
48
46
29
X
44.2
50.6
50.2
44.6
53.4
48.0
50.8
50.8
52.2
55.0
49.0
53.0
47.4
43.0
48.8
51.6
49.2
46.0
46.6
52.6
56.8
46.4
45.6
52.4
50.8
44.8
47.0
38.8
46.4
45.4
42.6
39.8
43.8
43.6
41.4
R
27
4
16
9
13
10
12
22
9
16
20
19
22
12
22
15
23
22
22
15
11
18
13
14
24
23
28
13
31
13
18
14
13
9
22
s
10.06
1.67
5.93
4.16
6.19
4.06
4.60
11.32
3.56
5.92
8.97
7.91
8.44
4.58
9.34
6.27
8.58
8.77
8.82
6.66
4.21
6.84
5.03
5.77
9.42
8.76
10.15
5.26
12.82
5.77
6.99
6.06
5.17
3.51
8.17