SAMPLE SAMPLE MEAN (in.) RANGE (in.) 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 9.995 0.004 10 10.001 0.011 11 10.001 0.014 12 10.006 0.009

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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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:  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?

SAMPLE
SAMPLE MEAN (in.)
RANGE (in.)
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
9.995
0.004
10
10.001
0.011
11
10.001
0.014
12
10.006
0.009
Transcribed Image Text:SAMPLE SAMPLE MEAN (in.) RANGE (in.) 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 9.995 0.004 10 10.001 0.011 11 10.001 0.014 12 10.006 0.009
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