Reference no: EM132250926

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 1096 1093 978 994 2 1026 976 1019 1018 3 1019 1020 1026 970 4 1012 995 1016 998 5 1018 976 989 1024 6 1002 1003 1026 1022 7 999 993 981 1007 8 1027 1019 971 994 9 999 988 1024 1025 10 979 993 1008 1001 11 979 989 986 978 12 1023 976 981 971 13 1005 996 986 1026 14 1009 1026 1029 1018 15 1002 971 981 972 a. Calculate the mean and range for the above samples. (Round "Mean" to 2 decimal places and "Range" to the nearest whole number.) Sample Number Mean Range 1 1040.25 118 2 1009.75 50 3 1008.75 56 4 1005.25 21 5 1001.75 48 6 1013.25 4 7 995 26 8 1002.75 56 9 1009 37 10 995.25 29 11 983 11 12 987.75 52 13 1003.25 40 14 1020.5 20 15 981.5 10 b. Determine X= and R−. (Round your answers to 3 decimal places.) X= 15057 R− 1003.8 c. Determine the UCL and LCL for a X−chart. (Round your answers to 3 decimal places.) UCL 1010.752 LCL 996.848 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.) UCL 11.06 LCL 52.14 e. What comments can you make about the process? The process is out of statistical control. The process is in statistical control.