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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

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

9.087

- 0.038

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

9.147

0.022

17

9.140

0.015

42

9.123

- 0.002

18

9.109

- 0.016

43

9.097

- 0.028

19

9.190

0.065

44

9.108

- 0.017

20

9.087

- 0.038

45

9.214

0.089

21

9.046

- 0.079

46

9.140

0.015

22

9.108

- 0.017

47

9.151

0.026

23

9.188

0.063

48

9.041

- 0.084

24

9.125

0.000

49

9.061

- 0.064

25

9.114

- 0.011

50

9.162

0.037

Accounting Basics, Accounting

  • Category:- Accounting Basics
  • Reference No.:- M91722895

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