Problem:
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)
1 1010 991 985 986
2 995 996 1009 994
3 990 1003 1015 1008
4 1015 1020 1009 998
5 1013 1019 1005 993
6 994 1001 994 1005
7 989 992 982 1020
8 1001 986 996 996
9 1006 989 1005 1007
10 992 1007 1006 979
11 996 1006 997 989
12 1019 996 991 1011
13 981 991 989 1003
14 999 993 988 984
15 1013 1002 1005 992
Required:
Question 1) Develop an X-chart and an R-chart and plot the values. From the charts, what comments can you make about the process? Solve the given numerical problem and illustrate step by step calculation.