...S6.11 Twelve samples, each containing five parts, were taken from a process that produces steel rods at Emmanuel Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were: SAMPLE 1 2 3456 7 8 9 10 11 12 SAMPLE MEAN (in.) 10.002 10.002 9.991 10.006 9.997 9.999 10.001 10.005 9.995 10.001 10.001 10.006 RANGE (in.) 0.011 0.014 0.007 0.022 0.013 0.012 0.008 0.013 0.004 0.011 0.014 0.009 a) Determine the upper and lower control limits and the overall means for x-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? PX

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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...S6.11 Twelve samples, each containing five parts, were taken
from a process that produces steel rods at Emmanuel Kodzi's
factory. The length of each rod in the samples was determined.
The results were tabulated and sample means and ranges were
computed. The results were:
SAMPLE
1
2
3
456
7
8
9
10
11
12
SAMPLE MEAN (in.)
10.002
10.002
9.991
10.006
9.997
9.999
10.001
10.005
9.995
10.001
10.001
10.006
RANGE (in.)
0.011
0.014
0.007
0.022
0.013
0.012
0.008
0.013
0.004
0.011
0.014
0.009
a) Determine the upper and lower control limits and the overall
means for x-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? Px
Transcribed Image Text:...S6.11 Twelve samples, each containing five parts, were taken from a process that produces steel rods at Emmanuel Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were: SAMPLE 1 2 3 456 7 8 9 10 11 12 SAMPLE MEAN (in.) 10.002 10.002 9.991 10.006 9.997 9.999 10.001 10.005 9.995 10.001 10.001 10.006 RANGE (in.) 0.011 0.014 0.007 0.022 0.013 0.012 0.008 0.013 0.004 0.011 0.014 0.009 a) Determine the upper and lower control limits and the overall means for x-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? Px
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