9. Resistors for electronic circuits are manufactured on a high-speed automated
ID: 362463 • Letter: 9
Question
9. Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows Sample Number Readings (in ohms) 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 984 992 991 996 1003 1020 995 990 1015 1013 994 989 1001 1006 992 996 1019 981 4 1001 992 986 989 1007 1006 996 991 993 1002 10 13 14 15 1013Explanation / Answer
Sample Number
X BAR
r CHART
1
1010
991
985
986
993
25
2
995
996
1009
994
998.5
15
3
990
1003
1015
1008
1004
25
4
1015
1020
1009
998
1010.5
22
5
1013
1019
1005
993
1007.5
26
6
994
1001
994
1005
998.5
11
7
989
992
982
1020
995.75
38
8
1001
986
996
996
994.75
15
9
1006
989
1005
1007
1001.75
18
10
992
1007
1006
979
996
28
11
996
1006
997
989
997
17
12
1019
996
991
1011
1004.25
28
13
981
991
989
1003
991
22
14
999
993
988
984
991
15
15
1013
1002
1005
992
1003
21
999.1
21.73333333
X DBAR
R BAR
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Sample Number
X BAR
r CHART
1
1010
991
985
986
993
25
2
995
996
1009
994
998.5
15
3
990
1003
1015
1008
1004
25
4
1015
1020
1009
998
1010.5
22
5
1013
1019
1005
993
1007.5
26
6
994
1001
994
1005
998.5
11
7
989
992
982
1020
995.75
38
8
1001
986
996
996
994.75
15
9
1006
989
1005
1007
1001.75
18
10
992
1007
1006
979
996
28
11
996
1006
997
989
997
17
12
1019
996
991
1011
1004.25
28
13
981
991
989
1003
991
22
14
999
993
988
984
991
15
15
1013
1002
1005
992
1003
21
999.1
21.73333333
X DBAR
R BAR
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