3) Establish the control limits (UCL, CL, and LCL) for X-bar chart. (Assume a = 0.0026) 4) If the specification limits are 2.70 0.15, find the process capability indices Cp and Cpk.
3) Establish the control limits (UCL, CL, and LCL) for X-bar chart. (Assume a = 0.0026) 4) If the specification limits are 2.70 0.15, find the process capability indices Cp and Cpk.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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
Transcribed Image Text:3) Establish the control limits (UCL, CL, and LCL) for X-bar chart. (Assume a = 0.0026)
4) If the specification limits are 2.70 0.15, find the process capability indices Cp and Cpk.

Transcribed Image Text:- The quality engineer in charge of a salt packaging process is concerned
about the moisture content in packages of salt. Five packages of salt are sampled each time, and
the moisture content in each package is measured as the percentage of total weight. The data is
shown in the following table:
Sample
Sample Values
R
2.26
0,78
2.53
2.69
2.66
1,88
2.21
2.308
2.498
0,35
0.57
2
2.38
2.34
2.47
2.61
3
2.67
2.23
2.1
2.43
2.54
2.394
4
2.1
2.26
2.51
2.58
2.28
2.346
0.48
5
2.64
2.42
2.56
2.51
2.36
2.498
0,28
2.67
2.23
2.46
6
1.32
2.64
2.58
2.31
1.63
2.95
2.12
2.402
2.69
2.39
2.68
3.22
3.01
2.4
2.54
2.704
2,432
3.01
0.78
8
2.6
2.27
2,72
0,29
3.03
2.63
2.63
2,874
9
0.76
0.74
0.79
10
2.86
3.09
2.48
11
2.71
2.95
2.8
3.09
2.6
3.39
2.918
3.31
2.27
3.35
12
3.54
2.59
2.87
3.052
0.95
13
3.14
2.84
3.77
3.22
3.048
1.5
2.85
2.82
3.25
3.36
14
3.29
3.59
3.266
0.74
3.242
3,342
15
3.71
3.07
3.21
2.95
3.37
3.7
0.89
16
3.17
3.14
3.63
0.63
17
2.81
2.95
3.04
2.85
2.972
0.4
18
2.99
2.65
2.79
2.8
2.95
2.836
0,34
19
3.11
2.74
2.59
3.01
3.03
2.896
0.52
20
2,83
2.74
3.03
2.68
2.49
2.754
0.54
1) Estimate the process standard deviation o, using R.
2) Establish the control limits (UCL, CL, and LCL) for R chart. (Assume a = 0.0026)
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