1. Resistors for electronic circuits are being manufactured on a high-speed automated machine. The machine is being set up to produce a large run of resistors of 1000 ohms each. To set up the machine and create a control chart throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured value are as follows: Sample Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1010 995 990 1015 1013 994 989 1001 1006 992 996 1019 981 999 1013 Readings (in ohms) 985 1009 1015 991 996 1003 1020 1019 1001 992 986 989 1007 1006 996 991 993 1002 1009 1005 994 982 996 1005 1006 997 991 989 988 1005 986 994 1008 998 993 1005 1020 996 1007 979 989 1011 1003 984 992

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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Develop a x̅-chart and an R chart and plot the values. From the charts, what comments can you
make about the process?

1. Before beginning, in the above table, add   "18"  to all
the values of the readings (in ohms) and start the calculations as per the new table.
2. Present the new table, formula and calculations in detail, and do not skip any steps.
3. Mention all the assumptions (if any) considered while performing calculations. .

Draw both x̅-chart and R chart 
Comment about the observations and perform further iterations (max. 2 iterations as per the rules,
if any are required

1.
Resistors for electronic circuits are being manufactured on a high-speed automated
machine. The machine is being set up to produce a large run of resistors of 1000 ohms each. To
set up the machine and create a control chart throughout the run, 15 samples were taken with
four resistors in each sample. The complete list of samples and their measured value are as
follows:
Sample
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
1010
995
990
1015
1013
994
989
1001
1006
992
996
1019
981
999
1013
Readings (in ohms)
991
996
1003
1020
1019
1001
992
986
989
1007
1006
996
991
993
1002
985
1009
1015
1009
1005
994
982
996
1005
1006
997
991
989
988
1005
986
994
1008
998
993
1005
1020
996
1007
979
989
1011
1003
984
992
Transcribed Image Text:1. Resistors for electronic circuits are being manufactured on a high-speed automated machine. The machine is being set up to produce a large run of resistors of 1000 ohms each. To set up the machine and create a control chart throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured value are as follows: Sample Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1010 995 990 1015 1013 994 989 1001 1006 992 996 1019 981 999 1013 Readings (in ohms) 991 996 1003 1020 1019 1001 992 986 989 1007 1006 996 991 993 1002 985 1009 1015 1009 1005 994 982 996 1005 1006 997 991 989 988 1005 986 994 1008 998 993 1005 1020 996 1007 979 989 1011 1003 984 992
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