Resistors for electronic circuits are manufactured on a high-speed automated mac
ID: 348106 • Letter: R
Question
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 13.7.
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.
Calculate the mean and range for the above samples. (Round "Mean" to 2 decimal places and "Range" to the nearest whole number.)
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.)
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 13.7.
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.
Explanation / Answer
29
x-bar = 1000.017
r-bar = 29
c.) For x-chart
UCL= x bar + A2*R bar = 1000.017 + 0.729 * 29 =
LCL = x bar - A2* Rbar = 1000.017 - 0.729* 29 = 978.875
d.) For R chart
UCL = D4*R bar = 2.282 *29 = 66.178
LCL = D3* R bar = 0
e. As per the values calculated above, the process is in statistical control
SAMPLE NUMBER READINGS (IN OHMS) Mean range 1 986 987 1014 1001 997 28 2 994 993 973 972 983 22 3 983 1022 981 983 992.25 41 4 1022 989 1007 994 1003 33 5 1015 988 1020 1027 1012.5 39 6 1013 998 990 1002 1000.75 23 7 986 998 977 1021 995.5 44 8 995 1026 1016 1002 1009.75 31 9 1023 991 993 990 999.25 33 10 1002 1012 1008 998 1005 14 11 996 987 1017 1023 1005.75 36 12 972 1018 1005 1018 1003.25 46 13 1007 1007 992 998 1001 15 14 978 982 986 984 982.5 8 15 1012 1023 1001 1003 1009.75 22 1000.01729
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.