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In: Operations Management

Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up...

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. Use Exhibit 10.13.

     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: Use three-sigma control limits.

SAMPLE NUMBER READINGS (IN OHMS)
1 1092 1099 1016 979
2 1011 978 1023 976
3 974 1003 996 998
4 981 988 1001 1007
5 992 976 978 1001
6 988 1030 1030 1014
7 1022 1010 1021 990
8 1010 998 981 975
9 997 1018 983 1024
10 1028 974 989 989
11 972 1010 1007 992
12 1013 981 1002 1009
13 1005 1021 996 1014
14 995 973 971 975
15 1011 1001 987 1015

a. Calculate the mean and range for the above samples. (Round "Mean" to 2 decimal places and "Range" to the nearest whole number.)

b. Determine X=X= and R−R− . (Round your answers to 3 decimal places.)

c. Determine the UCL and LCL for a X−X− chart. (Round your answers to 3 decimal places.)

d. Determine the UCL and LCL for R-chart. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places.)

e. What comments can you make about the process?

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