1.
For a process quality characteristics, the specification limits are 0.4037 +/- 0.0013 (that is from 0.4024 to 0.4050). The following data gives the data for 14 measurement data sets, each data set is a subgroup of 5 measurement. The value is recorded in the units of 0.0001 (that is, the specification limit will be considered 24 to 50) Based on the following data, compute Cp,Cpk,Pp and Ppk.(Use MINITAB is ok) and determine if the capability of the process.
Subgroup # |
1 |
2 |
3 |
4 |
5 |
||||||||||||||||||||||||||||||||||||||||||||||
3 6 |
35 |
34 |
33 |
32 |
8 |
38 |
|||||||||||||||||||||||||||||||||||||||||||||
31 |
30 |
9 |
3 7 |
||||||||||||||||||||||||||||||||||||||||||||||||
10 |
|||||||||||||||||||||||||||||||||||||||||||||||||||
11 |
28 |
||||||||||||||||||||||||||||||||||||||||||||||||||
12 |
|||||||||||||||||||||||||||||||||||||||||||||||||||
6 |
13 |
29 |
27 |
||||||||||||||||||||||||||||||||||||||||||||||||
7 |
14 |
39 |
2. The following table listed 25 subgroups of measurement data with group size 3:
#
c1
c2
c3
#
c1
c2
c3
1
50.3175
50.1224
50.4081
14
49.4319
50.1432
49.2045
2
49.5077
49.7629
49.4091
15
50.3789
50.2715
50.5952
3
49.3587
49.639
49.5229
16
48.6722
49.1436
49.1306
4
49.5005
49.5897
49.7904
17
49.5332
50.4829
50.0007
5
47.911
49.5549
48.6716
18
49.4866
47.9221
50.4324
6
49.8851
49.8281
49.8762
19
48.6924
50.1697
49.8926
7
49.9994
50.6484
50.4223
20
50.8253
50.7303
50.8569
8
49.58
49.4764
49.7899
21
50.3306
49.8906
49.5988
9
51.106
50.2333
50.4464
22
49.9728
51.6716
50.7228
10
50.7538
49.9355
51.4371
23
50.5934
50.7355
49.3386
11
49.7322
49.6442
50.2943
24
49.5547
49.7753
49.7181
12
48.5373
51.9875
48.6112
25
51.3211
48.048
51.7502
13
48.6753
48.9048
49.3312
(a) The specification limits are 49 +/- 3. Assume that the data is normally distributed! Estimate process capability ratio’s (Cp, Cpk, Pp, Ppk). Is the process capable?
(b) If the specification limits were 51 +/- 3. Re-calculate process capability ratio’s (Cp, Cpk, Pp, Ppk). Is the process still capable?
(c) Comment on the difference between Cp and Cpk ratios.
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