4. Software upgrade times (in minutes) are being evaluated. Samples of five observations each have been taken, and the results are as listed. Using factors from Table 10.3, determine upper and lower control limits for mean and range charts, and decide if the process is in control. SAMPLE 1 2 5 6 79.2 80.5 80.5 79.7 78.8 78.7 79.6 80.6 80.0 81.0 80.4 80.5 78.4 80.4 80.8 80.0 81.0 80.1 78.8 81.1 3 79.6 79.6 80.4 80.3 80.8 4 78.9 79.4 79.7 79.4 80.6

MATLAB: An Introduction with Applications
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TABLE 10.3 Factors for three-sigma control limits for X and R charts
Number of
Observations in
Factor for
Sample,
Chart,
A₂
R
2
1.88
3
1.02
4
0.73
0.58
0.48
0.42
0.37
0.34
0.31
0.29
0.27
0.25
0.24
0.22
0.21
0.20
0.19
0.19
0.18
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
FACTORS FOR R CHARTS
Lower Control
Linit,
D₂
0
0
0
0
0
0.08
0.14
0.18
0.22
0.26
0.28
0.31
0.33
0.35
0.36
0.38
0.39
0.40
0.41
Upper Control
Limit,
D₂
3.27
2.57
2.28
2.11
2.00
1.92
1.86
1.82
1.78
1.74
1.72
1.69
1.67
1.65
1.64
1.62
1.61
1.60
1.59
Transcribed Image Text:TABLE 10.3 Factors for three-sigma control limits for X and R charts Number of Observations in Factor for Sample, Chart, A₂ R 2 1.88 3 1.02 4 0.73 0.58 0.48 0.42 0.37 0.34 0.31 0.29 0.27 0.25 0.24 0.22 0.21 0.20 0.19 0.19 0.18 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 FACTORS FOR R CHARTS Lower Control Linit, D₂ 0 0 0 0 0 0.08 0.14 0.18 0.22 0.26 0.28 0.31 0.33 0.35 0.36 0.38 0.39 0.40 0.41 Upper Control Limit, D₂ 3.27 2.57 2.28 2.11 2.00 1.92 1.86 1.82 1.78 1.74 1.72 1.69 1.67 1.65 1.64 1.62 1.61 1.60 1.59
4. Software upgrade times (in minutes) are being evaluated. Samples of five observations each have been taken, and the results are as
Table 10.3, determine upper and lower control limits for mean and range charts, and decide if the process
listed. Using factors from
is in control.
SAMPLE
1
2
5
6
79.2
80.5
80.5
79.7
78.8
78.7
79.6
80.6
80.0
81.0
80.4
80.5
78.4
80.4
80.8
80.0
81.0
80.1
78.8
81.1
3
79.6
79.6
80.4
80.3
80.8
4
78.9
79.4
79.7
79.4
80.6
Transcribed Image Text:4. Software upgrade times (in minutes) are being evaluated. Samples of five observations each have been taken, and the results are as Table 10.3, determine upper and lower control limits for mean and range charts, and decide if the process listed. Using factors from is in control. SAMPLE 1 2 5 6 79.2 80.5 80.5 79.7 78.8 78.7 79.6 80.6 80.0 81.0 80.4 80.5 78.4 80.4 80.8 80.0 81.0 80.1 78.8 81.1 3 79.6 79.6 80.4 80.3 80.8 4 78.9 79.4 79.7 79.4 80.6
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