Estimate upper and lower control limits

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Reference no: EM1399846

Computer upgrades have a nominal time of 80 minutes. Samples of five observations each have been taken, and the results are as listed.


SAMPLE

1 2 3 4 5 6
79.2 80.5 79.6 78.9 80.5 79.7
78.8 78.7 79.6 79.4 79.6 80.6
80.0 81.0 80.4 79.7 80.4 80.5
78.4 80.4 80.3 79.4 80.8 80.0
80.6 80.1 80.8 80.6 78.8 81.1


Factors for three-sigma control limits for formula179.mml and R charts

   

FACTORS FOR R CHARTS

Number of Observations in Subgroup,
n
Factor for
formula180.mml Chart,
A2
Lower
Control Limit,
D3
Upper
Control Limit,
D4
2            1.88           0 3.27
3            1.02           0 2.57
4            0.73           0 2.28
5            0.58           0 2.11
6            0.48           0 2.00
7            0.42           0.08 1.92
8            0.37           0.14 1.86
9            0.34           0.18 1.82
10            0.31           0.22 1.78
11            0.29           0.26 1.74
12            0.27           0.28 1.72
13            0.25           0.31 1.69
14            0.24           0.33 1.67
15            0.22           0.35 1.65
16            0.21           0.36 1.64
17            0.20           0.38 1.62
18            0.19           0.39 1.61
19            0.19           0.40 1.60
20            0.18           0.41 1.59


a. Using factors from above table, determine upper and lower control limits for mean and range charts.(Round your intermediate calculations and final answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)

             Mean Chart        Range Chart
  UCL   
  LCL   


Reference no: EM1399846

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