Find the values of the UCL and LCL for the R chart for this data
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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Question
Refer to the table of sample values in Section 8.2 Exercise 10 of the text.
Find the values of the UCL and LCL for the R chart for this data, and round your answers to 3 places after the decimal point.
| a. | UCL = 1.376 LCL = 0.054 | b. | UCL = 1.134 LCL = 0.296 |
|---|---|---|---|
| c. | UCL = 1.198 LCL = 0.232 | d. | UCL = 1.433 LCL = 0 |
Transcribed Image Text:#10: Rchart
UCL
LOL
0 2 4 6 8 10 12 14 16 18 20
Transcribed Image Text:10.
Subgroup
Sample Values
R
1
3.56
3.65
3.75
4.05
3.51
3.33
3.61
3.637142857
0.72
2
3.54
3.81
3.87
3.85
4.17
4.02
4.18
3.92
0.64
3
3.65
3.66
4.04
3.64
3.93
3.61
4.07
3.8
0.46
4
3.75
3.67
3.68
4.03
4.26
3.74
3.95
3.868571429
0.59
0.143
5
3.91
3.78
3.72
3.96
3.46
3.62
3.98
3.775714286
0.52
3.44
3.45
3.24
3.71
3.80
3.55
3.70
3.555714286
0.56
0.143
7
3.35
3.67
3.54
3.70
3.73
3.86
3.45
3.614285714
0.51
8
3.84
3.55
3.93
3.59
3.67
3.38
4.02
3.711428571
0.64
9
3.79
4.22
4.17
3.56
3.91
3.70
3.96
3.901428571
0.66
10
3.61
3.00
3.91
3.31
2.91
3.19
3.84
3.395714286
1.00
0.429
11
3.49
4.17
3.60
3.63
3.34
4.04
3.39
3.665714286
0.83
12
3.57
3.71
3.32
3.88
3.38
3.77
3.82
3.635714286
0.56
13
4.27
3.52
4.06
3.08
3.53
3.49
3.84
3.684285714
1.19
0.286
14
3.66
3.51
3.45
3.75
3.47
4.11
4.08
3.718571429
0.66
15
3.58
3.64
4.19
3.61
3.28
3.37
4.22
3.698571429
0.94
16
3.70
3.60
4.38
3.58
3.87
3.39
3.20
3.674285714
1.18
0.286
17
3.94
3.65
3.52
4.35
3.96
3.56
3.65
3.804285714
0.83
0.143
18
3.87
3.62
3.87
3.98
3.92
3.42
3.79
3.781428571
0.56
19
3.33
3.94
3.82
3.79
3.78
3.85
3.83
3.762857143
0.61
20
4.04
3.66
3.59
3.70
3.46
3.40
3.58
3.632857143
0.64
Averages 3.711928571
0.715
0.071
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