4,, - The quality engineer in charge of a salt packaging process is concernedabout the moisture content in packages of salt. Five packages of salt are sampled each time, andthe moisture content in each package is measured as the percentage of total weight. The data isshown in the following table:SampleSample ValuesR2.260,782.532.692.661,882.212.3082.4980,350.5722.382.342.472.6132.672.232.12.432.542.39442.12.262.512.582.282.3460.4852.642.422.562.512.362.4980,282.672.232.4661.322.642.582.311.632.952.122.4022.692.392.683.223.012.42.542.7042,4323.010.7882.62.272,720,293.032.632.632,87490.760.740.79102.863.092.48112.712.952.83.092.63.392.9183.312.273.35123.542.592.873.0520.95133.142.843.773.223.0481.52.852.823.253.36143.293.593.2660.743.2423,342153.713.073.212.953.373.70.89163.173.143.630.63172.812.953.042.852.9720.4182.992.652.792.82.952.8360,34193.112.742.593.013.032.8960.52202,832.743.032.682.492.7540.541) Estimate the process standard deviation o, using R.2) Establish the control limits (UCL, CL, and LCL) for R chart. (Assume a = 0.0026) 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.

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1) Estimate the process standard deviation o, using R.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

4,,

- 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)

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.

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