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 | 992 | 992 | 1000 | 1027 |
2 | 978 | 994 | 985 | 1018 |
3 | 1021 | 998 | 1018 | 994 |
4 | 974 | 1022 | 999 | 1026 |
5 | 1000 | 1012 | 1030 | 991 |
6 | 974 | 987 | 985 | 987 |
7 | 1005 | 973 | 1011 | 1001 |
8 | 983 | 1024 | 1012 | 977 |
9 | 990 | 1004 | 973 | 999 |
10 | 990 | 1018 | 1024 | 1001 |
11 | 998 | 976 | 1029 | 980 |
12 | 1024 | 1020 | 1020 | 976 |
13 | 1026 | 1018 | 1029 | 971 |
14 | 982 | 979 | 982 | 989 |
15 | 991 | 988 | 980 | 994 |
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 | ||
2 | ||
3 | ||
4 | ||
5 | ||
6 | ||
7 | ||
8 | ||
9 | ||
10 | ||
11 | ||
12 | ||
13 | ||
14 | ||
15 | ||
b. Determine X=X= and R−R−. (Round your answers to 3 decimal places.)
X=X= | |
R−R− |
c. Determine the UCL and LCL for a X−X−chart. (Round your answers to 3 decimal places.)
UCL | |
LCL |
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 | |
LCL |
e. What comments can you make about the process?
The process is in statistical control. | |
The process is out of statistical control. |
Answers a are in BOLD
sample | 1 | 2 | 3 | 4 | R= Max- Min | X-bar= average of sample | |
1 | 992 | 992 | 1000 | 1027 | 35 | 1002.75 | |
2 | 978 | 994 | 985 | 1018 | 40 | 993.75 | |
3 | 1021 | 998 | 1018 | 994 | 27 | 1007.75 | |
4 | 974 | 1022 | 999 | 1026 | 52 | 1005.25 | |
5 | 1000 | 1012 | 1030 | 991 | 39 | 1008.25 | |
6 | 974 | 987 | 985 | 987 | 13 | 983.25 | |
7 | 1005 | 973 | 1011 | 1001 | 38 | 997.50 | |
8 | 983 | 1024 | 1012 | 977 | 47 | 999.00 | |
9 | 990 | 1004 | 973 | 999 | 31 | 991.50 | |
10 | 990 | 1018 | 1024 | 1001 | 34 | 1008.25 | |
11 | 998 | 976 | 1029 | 980 | 53 | 995.75 | |
12 | 1024 | 1020 | 1020 | 976 | 48 | 1010.00 | |
13 | 1026 | 1018 | 1029 | 971 | 58 | 1011.00 | |
14 | 982 | 979 | 982 | 989 | 10 | 983.00 | |
15 | 991 | 988 | 980 | 994 | 14 | 988.25 |
Answer b
35.933 | 999.017 |
AVERAGE(all X-bar samples) |
R-bar | X-bar-bar |
Answer c:
control limits for x-bar, z=3 | |||
UCL= Xbar-bar+ z*STD | 1027.725 | ||
CL= X-bar-bar | 999.017 | ||
LCL= Xbarbar- z*STD | 970.308 | ||
Standard deviation= STD= | STDEV(select all X-bar values) | 9.5695 |
Answer d:
R-bar | |||
control limits for Range, z=3 | |||
UCL=R-bar+ z*STD | 80.740 | ||
CL= R-bar | 35.933 | ||
LCL=R-bar- z*STD | 0 if negative | -8.873 | 0.000 |
Standerd deviation= STD= | STDEV(select all range values) | 14.9354 |
Answer e:
The process is in control: As we can see that NO sample is beyond control limits in charts. Every sample is within the UCL and LCL
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 NOEM READINGS (IN OHMS) 1000...
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 1000...
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. a. Calculate the mean and range for...
Problem 10-25 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 1 2 3...
Problem 10-25 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 READINGS (IN OHMS) 1014 1019...
0 X 1.TX T 1 .III .2. 3 .III.4. III .5. III .6. II . , 7 . i. 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...
a) Resistors for electronic circuits are being 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 create a control chart to be used throughout the run, 20 samples were taken with four resistors in each sample. The data is shown below and is also available in the attached Excel file. Use MS Excel or Minitab to develop X-bar and R charts, then determine if the process...