3. Software upgrade times(in seconds) are being evaluated. Samples of five observations have been taken at each inspection and the results are listed. a. Using the factors from table below determine the lower and upper bounds for mean chart and draw the control chart by pointing the average of each inspection on the chart. b. Using the factors from table below determine the lower and upper bounds for range chart and draw the control chart by pointing the average of range for each inspection on the chart. 1st 3rd 4th 2nd Inspection Inspection Inspection Inspection 9,8 9,9 9,9 10,1 10,3 1st sample 2nd sample 3rd sample 4th sample 5th sample Number of Observations in Sample, 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Factor for Chart, A₂ 1.88 1.02 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 10,2 10,3 9,7 9,9 9,8 Lower Control Limit, D₂ 0 0 0 0 0 FACTORS FOR R CHARTS 0.08 0.14 0.18 0.22 0.26 0.28 0.31 0.33 9,9 9,8 9,9 10,3 10,2 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 TABLE 10.3 Factors for three-sigma control limits for X and R charts Source: Adapted from Eugene Grant and Richard Leavenworth, Statical Quality Control Shed Copyright ©1980 McGraw Hill Companies, Inc. Used with permission 10,1 10,4 10,1 10,5 9,7
3. Software upgrade times(in seconds) are being evaluated. Samples of five observations have been taken at each inspection and the results are listed. a. Using the factors from table below determine the lower and upper bounds for mean chart and draw the control chart by pointing the average of each inspection on the chart. b. Using the factors from table below determine the lower and upper bounds for range chart and draw the control chart by pointing the average of range for each inspection on the chart. 1st 3rd 4th 2nd Inspection Inspection Inspection Inspection 9,8 9,9 9,9 10,1 10,3 1st sample 2nd sample 3rd sample 4th sample 5th sample Number of Observations in Sample, 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Factor for Chart, A₂ 1.88 1.02 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 10,2 10,3 9,7 9,9 9,8 Lower Control Limit, D₂ 0 0 0 0 0 FACTORS FOR R CHARTS 0.08 0.14 0.18 0.22 0.26 0.28 0.31 0.33 9,9 9,8 9,9 10,3 10,2 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 TABLE 10.3 Factors for three-sigma control limits for X and R charts Source: Adapted from Eugene Grant and Richard Leavenworth, Statical Quality Control Shed Copyright ©1980 McGraw Hill Companies, Inc. Used with permission 10,1 10,4 10,1 10,5 9,7
Practical Management Science
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Transcribed Image Text:3. Software upgrade times(in seconds) are being evaluated. Samples of five observations have been
taken at each inspection and the results are listed.
a. Using the factors from table below determine the lower and upper bounds for mean chart
and draw the control chart by pointing the average of each inspection on the chart.
b. Using the factors from table below determine the lower and upper bounds for range chart
and draw the control chart by pointing the average of range for each inspection on the chart.
1st
4th
2nd
Inspection
Inspection
3rd
Inspection
Inspection
9,9
9,8
9,8
9,9
9,9
10,3
10,2
1st sample
2nd sample
3rd sample
4th sample
5th sample
Number of
Observations
in Sample,
n
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Factor
for Chart,
A₂
1.88
1.02
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
10,2
10,3
9,7
9,9
9,8
FACTORS FOR R CHARTS
Lower Control
Limit,
D3
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
9,9
10,1
10,3
TABLE 10.3
Factors for three-sigma
control limits for X and R
charts
Source: Adapted from Eugene Grant and
Richard Leavenworth, Statistical Quality
Control, 5th ed. Copyright ©1980 McGraw-
Hill Companies, Inc. Used with permission
10,1
10,4
10,1
10,5
9,7
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