Exercise : Control chart for X-R variables The data shown in the table represent the internal diameters (mm) of automobile engine piston rings. Each sample is made up of five parts and a total of 25 samples were collected. a) Construct limits and control charts for this critical quality characteristic. Is the process statistically controlled? b) If the product specifications are 74,000 +/- 0.05, determine the ability of the process to meet these specifications. Sample observations 1 74.03 74.002 74.019 73.992 74.008 2 73.995 73.992 74.001 74.011 74.004 3 73.988 74.024 74.021 74.005 74.002 4 74.002 73.996 73.993 74.015 74.009 5 73.992 74.007 74.015 73.989 74.014 6 74.009 73.994 73.997 73.985 73.993 7 73.995 74.006 73.994 74.000 74.005 8 73.985 74.003 73.993 74.015 73.988 9 74.008 73.995 74.009 74.005 74.004 10 73.998 74.000 73.99 74.007 73.995 11 73.994 73.998 73.994 73.995 73.99 12 74.004 74.000 74.007 74.000 73.996 13 73.983 74.002 73.998 73.997 74.012 14 74.006 73.967 73.994 74.000 73.984 15 74.012 74.014 73.998 73.999 74.007 16 74.000 73.984 74.005 73.998 73.996 17 73.994 74.012 73.986 74.005 74.007 18 74.006 74.01 74.018 74.003 74.000 19 73.984 74.002 74.003 74.005 73.997 20 74.000 74.01 74.013 74.02 74.003 21 73.982 74.001 74.015 74.005 73.996 22 74.004 73.999 73.99 74.006 74.009 23 74.01 73.989 73.99 74.009 74.014 24 74.015 74.008 73.993 74.000 74.01 25 73.982 73.984 73.995 74.017 74.013
Exercise : Control chart for X-R variables
The data shown in the table represent the internal diameters (mm) of automobile engine piston rings.
Each sample is made up of five parts and a total of 25 samples were collected.
a) Construct limits and control charts for this critical quality characteristic. Is the process statistically controlled?
b) If the product specifications are 74,000 +/- 0.05, determine the ability of the process to meet these specifications.
Sample observations
1 74.03 74.002 74.019 73.992 74.008
2 73.995 73.992 74.001 74.011 74.004
3 73.988 74.024 74.021 74.005 74.002
4 74.002 73.996 73.993 74.015 74.009
5 73.992 74.007 74.015 73.989 74.014
6 74.009 73.994 73.997 73.985 73.993
7 73.995 74.006 73.994 74.000 74.005
8 73.985 74.003 73.993 74.015 73.988
9 74.008 73.995 74.009 74.005 74.004
10 73.998 74.000 73.99 74.007 73.995
11 73.994 73.998 73.994 73.995 73.99
12 74.004 74.000 74.007 74.000 73.996
13 73.983 74.002 73.998 73.997 74.012
14 74.006 73.967 73.994 74.000 73.984
15 74.012 74.014 73.998 73.999 74.007
16 74.000 73.984 74.005 73.998 73.996
17 73.994 74.012 73.986 74.005 74.007
18 74.006 74.01 74.018 74.003 74.000
19 73.984 74.002 74.003 74.005 73.997
20 74.000 74.01 74.013 74.02 74.003
21 73.982 74.001 74.015 74.005 73.996
22 74.004 73.999 73.99 74.006 74.009
23 74.01 73.989 73.99 74.009 74.014
24 74.015 74.008 73.993 74.000 74.01
25 73.982 73.984 73.995 74.017 74.013
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