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 Values 2.21 2,47 Sample 2.53 2.66 1.88 2.26 2.308 0.78 0,35 0.57 2.38 2.23 2.26 2.42 1.63 2.69 2.34 2.61 2.498 2.54 2.67 2.1 2.64 2.64 2.1 2.43 2.58 2.394 2.346 2.498 2.402 3. 2.51 2.56 4 2.28 0.48 2.51 0,28 2.36 2.67 2.95 2.12 3.01 6. 1.32 2.58 2.69 3.01 2.23 2.704 0,78 8. 2.31 2.39 2.6 2.27 2.4 2.46 2.432 0.29 2.54 0.76 0,74 0.79 0.95 9. 3.03 2.68 2.63 2.63 10 2.86 3.22 2.72 3.09 2.48 2,874 11 2.71 2.95 3.14 2.8 3.54 3,09 2.6 3.31 2.27 3.35 2.95 3.39 2.918 3.052 12 2.59 3.77 2.87 13 2.84 3.29 3.22 3.59 3,048 1.5 14 15 2.85 3.25 3.266 0.74 3.71 3.07 2.82 3.36 3.37 3.242 0.89 16 3.17 3.14 3,63 3.7 3,342 2.972 0.63 17 2.81 3.21 2.95 3.04 2.85 0.4 18 2.99 2.65 2.79 2.8 2.95 2.836 0.34 3.11 2.83 2.74 2.74 2.59 3.03 2.49 2.896 2.754 19 3.01 0,52 20 3.03 2.68 0,54 1) Estimate the process standard deviation oo using R. 2) Establish the control limits (UCL, CL, and LCL) for R chart. (Assume a = 0.0026)
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 Values 2.21 2,47 Sample 2.53 2.66 1.88 2.26 2.308 0.78 0,35 0.57 2.38 2.23 2.26 2.42 1.63 2.69 2.34 2.61 2.498 2.54 2.67 2.1 2.64 2.64 2.1 2.43 2.58 2.394 2.346 2.498 2.402 3. 2.51 2.56 4 2.28 0.48 2.51 0,28 2.36 2.67 2.95 2.12 3.01 6. 1.32 2.58 2.69 3.01 2.23 2.704 0,78 8. 2.31 2.39 2.6 2.27 2.4 2.46 2.432 0.29 2.54 0.76 0,74 0.79 0.95 9. 3.03 2.68 2.63 2.63 10 2.86 3.22 2.72 3.09 2.48 2,874 11 2.71 2.95 3.14 2.8 3.54 3,09 2.6 3.31 2.27 3.35 2.95 3.39 2.918 3.052 12 2.59 3.77 2.87 13 2.84 3.29 3.22 3.59 3,048 1.5 14 15 2.85 3.25 3.266 0.74 3.71 3.07 2.82 3.36 3.37 3.242 0.89 16 3.17 3.14 3,63 3.7 3,342 2.972 0.63 17 2.81 3.21 2.95 3.04 2.85 0.4 18 2.99 2.65 2.79 2.8 2.95 2.836 0.34 3.11 2.83 2.74 2.74 2.59 3.03 2.49 2.896 2.754 19 3.01 0,52 20 3.03 2.68 0,54 1) Estimate the process standard deviation oo using R. 2) Establish the control limits (UCL, CL, and LCL) for R chart. (Assume a = 0.0026)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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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