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Twelve samples, each containing five parts, were taken
from a process that produces steel rods. The length of each rod in the
samples was determined. The results were tabulated and sample
means and ranges were computed. The results were:
Day Average (lb) Day Average (lb)
1 16.3 13 16.3
2 15.9 14 15.9
3 15.8 15 16.3
4 15.5 16 16.2
5 16.3 17 16.1
6 16.2 18 15.9
7 16.0 19 16.2
8 16.1 20 15.9
9 15.9 21 15.9
10 16.2 22 16.0
11 15.9 23 15.5
12 15.9 24 15.8
Net Weight
Sample Loaf #1 Loaf #2 Loaf #3 Loaf #4
1 6.3 6.0 5.9 5.9
2 6.0 6.0 6.3 5.9
3 6.3 4.8 5.6 5.2
4 6.2 6.0 6.2 5.9
5 6.5 6.6 6.5 6.9
Samples
1 2 3 4 5 6 7 8 9 10
10 9 13 10 12 10 10 13 8 10
9 9 9 10 10 10 11 10 8 12
10 11 10 11 9 8 10 8 12 9
9 11 10 10 11 12 8 10 12 8
12 10 9 10 10 9 9 8 9 12
Sample Sample Mean (in.) Range (in.)
1 10.002 0.011
2 10.002 0.014
3 9.991 0.007
4 10.006 0.022
5 9.997 0.013
6 9.999 0.012
7 10.001 0.008
8 10.005 0.013
9 9.995 0.004
10 10.001 0.011
11 10.001 0.014
12 10.006 0.009
a) Determine the upper and lower control limits and the overall
means for -charts and R-charts.
b) Draw the charts and plot the values of the sample means and
ranges.
c) Do the data indicate a process that is in control?
d) Why or why not?

 

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