b. Determine X and R. Note: Do not round intermediate calculations. Round your answers to 3 decimal places. X bar R bar c. Determine the UCL and LCL for a X-chart. Note: Do not round intermediate calculations. Round your answers to 3 decimal places. UCL LCL d. Determine the UCL and LCL for R-chart. Note: Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your answers to 3 decimal places. UCL LCL e. What comments can you make about the process? O Process is in statistical control. O Process is out of statistical control.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter14: Data Mining
Section14.2: Classification Methods
Problem 11P
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b. Determine X and R.
Note: Do not round intermediate calculations. Round your answers to 3 decimal places.
X bar
R bar
c. Determine the UCL and LCL for a X-chart.
Note: Do not round intermediate calculations. Round your answers to 3 decimal places.
UCL
LCL
d. Determine the UCL and LCL for R-chart.
Note: Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your
answers to 3 decimal places.
UCL
LCL
e. What comments can you make about the process?
O Process is in statistical control.
O Process is out of statistical control.
Transcribed Image Text:b. Determine X and R. Note: Do not round intermediate calculations. Round your answers to 3 decimal places. X bar R bar c. Determine the UCL and LCL for a X-chart. Note: Do not round intermediate calculations. Round your answers to 3 decimal places. UCL LCL d. Determine the UCL and LCL for R-chart. Note: Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your answers to 3 decimal places. UCL LCL e. What comments can you make about the process? O Process is in statistical control. O Process is out of statistical control.
The following table contains the measurements of the key length dimension from a fuel injector. These samples of size five were taken
at one-hour intervals. Use three-sigma control limits. Use Exhibit 10.13.
SAMPLE NUMBER 1
123456789
10
11
12
13
14
15
16
17
18
19
20
OBSERVATIONS
2
3
4
5
0.483
0.495 0.492 0.512 0.471
0.499 0.504 0.485
0.521
0.529
0.493
0.488
0.501 0.494 0.509 0.494
0.502 0.499 0.481 0.495
0.313 0.497 0.516 0.456 0.482
0.314 0.497 0.501 0.496 0.504
0.325 0.501 0.493 0.472 0.503
0.324 0.498 0.487 0.473 0.486
0.311 0.502 0.506 0.503 0.507
0.362 0.501 0.504 0.512 0.486
0.372 0.481 0.455 0.495 0.481
0.321 0.464 0.526 0.503 0.519
0.322
0.503
0.395 0.523
0.507
0.501 0.496 0.523
0.501 0.496
0.345 0.504 0.486 0.512 0.502
0.355 0.499 0.485 0.474 0.526
0.313 0.479 0.507 0.472 0.485
0.341 0.492 0.496 0.471 0.485
0.312 0.529 0.495 0.486 0.494
0.302 0.493 0.486 0.503 0.501
a. Calculate the mean and range f the above samples.
Note: Do not round intermediate calculations. Round your answers to 3 decimal places.
Sample Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Mean
Range
Transcribed Image Text:The following table contains the measurements of the key length dimension from a fuel injector. These samples of size five were taken at one-hour intervals. Use three-sigma control limits. Use Exhibit 10.13. SAMPLE NUMBER 1 123456789 10 11 12 13 14 15 16 17 18 19 20 OBSERVATIONS 2 3 4 5 0.483 0.495 0.492 0.512 0.471 0.499 0.504 0.485 0.521 0.529 0.493 0.488 0.501 0.494 0.509 0.494 0.502 0.499 0.481 0.495 0.313 0.497 0.516 0.456 0.482 0.314 0.497 0.501 0.496 0.504 0.325 0.501 0.493 0.472 0.503 0.324 0.498 0.487 0.473 0.486 0.311 0.502 0.506 0.503 0.507 0.362 0.501 0.504 0.512 0.486 0.372 0.481 0.455 0.495 0.481 0.321 0.464 0.526 0.503 0.519 0.322 0.503 0.395 0.523 0.507 0.501 0.496 0.523 0.501 0.496 0.345 0.504 0.486 0.512 0.502 0.355 0.499 0.485 0.474 0.526 0.313 0.479 0.507 0.472 0.485 0.341 0.492 0.496 0.471 0.485 0.312 0.529 0.495 0.486 0.494 0.302 0.493 0.486 0.503 0.501 a. Calculate the mean and range f the above samples. Note: Do not round intermediate calculations. Round your answers to 3 decimal places. Sample Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Mean Range
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