Resistors forelectronic circuits are manufactured on a high-speed automatedmachine. The machine is set up to produce a large run of resistorsof 1,000 ohms each. Use Exhibit 10.13.
     To set up the machine and to create acontrol chart to be used throughout the run, 15 samples were takenwith four resistors in each sample. The complete list of samplesand their measured values are as follows: Use three-sigma controllimits.
| 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 wholenumber.)
b.Determine X=X= and R−R− . (Round youranswers to 3 decimal places.)
c.Determine the UCL and LCL for a X−X− chart. (Roundyour answers to 3 decimal places.)
d.Determine the UCL and LCL for R-chart. (Leave nocells blank - be certain to enter \"0\" wherever required. Round youranswers to 3 decimal places.)
e.What comments can you make about the process?
