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Baseball circumferences
Baseballs used in the major leagues in the United States must adhere to strict stan- dards. One such standard is that the circumference must be between 9 and 9.25 inches. One could look at this standard as a target circumference of 9.125 inches with a tolerance of +> - 0.125 inches. These data (shown at the bottom of the page) were taken from a random sample of 50 baseballs from a large production batch. The actual circumference and deviation from the target circumfer- ence are listed.
Using the specification limits as the control limits,
a) Create a run chart for the baseballs' circumferences.
b) Is the process for making baseballs in terms of their circumference in control?
c) How many baseballs produced were out of spec?
d) When should the quality team have investigated the production process?
Sample
Circumference
Deviation
1
8.998
- 0.127
26
9.121
- 0.004
2
9.181
0.056
27
9.111
- 0.014
3
9.147
0.022
28
9.130
0.005
4
9.182
0.057
29
9.116
- 0.009
5
9.087
- 0.038
30
9.035
- 0.090
6
9.154
0.029
31
9.188
0.063
7
9.108
- 0.017
32
9.092
- 0.033
8
9.109
- 0.016
33
9.078
- 0.047
9
9.141
0.016
34
9.101
- 0.024
10
9.093
- 0.032
35
9.113
- 0.012
11
9.142
0.017
36
12
9.140
0.015
37
9.054
- 0.071
13
9.125
0.000
38
9.177
0.052
14
9.175
0.050
39
9.058
- 0.067
15
8.985
- 0.140
40
9.179
0.054
16
9.119
- 0.006
41
17
42
9.123
- 0.002
18
43
9.097
- 0.028
19
9.190
0.065
44
20
45
9.214
0.089
21
9.046
- 0.079
46
22
47
9.151
0.026
23
48
9.041
- 0.084
24
49
9.061
- 0.064
25
9.114
- 0.011
50
9.162
0.037
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