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 OBSERVATIONS SAMPLE NUMBER 1 0.485 0.498 0.495 0.494 0471 0.472 0.498 0.522 0.493 0.494 0.495 0.479 0.521 0.484 0.493 0.474 0.464 0518 0.512 0.509 2 0.482 0.503 0.485 0.503 0.499 0.484 0.513 0.498 0.503 0.504 0.483 0.519 0.512 0.483 0.525 0.504 0.482 0.492 0.517 0.519 0.462 0.513 0.483 0.504 0.493 0.472 0 504 0.483 0.482 0.473 0.507 0.492 0.485 0.482 0.461 0.483 0.471 0.472 0.506 0.507 0.482 0.506 0.524 0.507 0.507 0.483 0.485 0.486 0.493 0.506 0.486 0.523 0.521 0.483 0.487 0.496 0.506 0.495 0.512 0.493 0.488 0.523 0511 0.501 0.512 0.517 0.492 0.472 0.482 0.513 1 2 3 4 6. 8 10 11 12 13 14 15 16 17 0.483 0.451 0.513 0.524 0.519 0.503 0.485 0.483 0.527 0.482 18 19 20

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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b. Determine X and R. (Do not round intermediate calculations. Round your answers to 3 decimal places.)
R
c. Determine the UCL and LCL for a -chart. (Do not round intermediate calculations. 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. Do not round intermediate calculations. Round your answers to 3 decimal places.)
UCL
LCL
e. What comments can you make about the process?
O The process is in statistical control.
O The process is out of statistical control.
Transcribed Image Text:b. Determine X and R. (Do not round intermediate calculations. Round your answers to 3 decimal places.) R c. Determine the UCL and LCL for a -chart. (Do not round intermediate calculations. 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. Do not round intermediate calculations. Round your answers to 3 decimal places.) UCL LCL e. What comments can you make about the process? O The process is in statistical control. O The 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.
OBSERVATIONS
SAMPLE
NUMBER
1
1
0.485
3
0.482
0.503
0.485
0.503
0.499
0.484
0.513
0.498
0.503
0.504
0.483
0.451
0.513
0.524
0.519
0.483
0.519
0.512
0.483
0.525
0.504
0.482
0.492
0.517
0.519
0.462
0.513
0.483
0.504
0.493
4
0.507
0.492
0.485
0.482
0.461
0.483
0.471
0 472
0.486
0.523
0.521
0.483
0.487
0.496
0.506
0.495
0.512
0.493
0.488
0.523
0.511
0.501
0.512
0.498
0.495
0.494
0.471
0.472
3
4
6
7
0.498
0.522
0.493
0.494
0.495
0.479
0.521
0.484
0.493
9
0.506
0.507
0.482
0.506
0.524
0.507
0.507
0.483
0.485
0.486
0.493
0.506
10
11
12
13
14
15
0.474
0.464
0.518
0.512
0.509
0,503
0.485
0.483
0.527
0.482
0.472
0.504
0.483
0.482
0.473
0,517
0.492
0.472
0.482
0.513
16
17
18
19
20
a. Calculate the mean and range for the above samples. (Do not round intermediate calculations. Round your answers to 3 decimal places.)
Sample
Number
Mean
Range
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
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. OBSERVATIONS SAMPLE NUMBER 1 1 0.485 3 0.482 0.503 0.485 0.503 0.499 0.484 0.513 0.498 0.503 0.504 0.483 0.451 0.513 0.524 0.519 0.483 0.519 0.512 0.483 0.525 0.504 0.482 0.492 0.517 0.519 0.462 0.513 0.483 0.504 0.493 4 0.507 0.492 0.485 0.482 0.461 0.483 0.471 0 472 0.486 0.523 0.521 0.483 0.487 0.496 0.506 0.495 0.512 0.493 0.488 0.523 0.511 0.501 0.512 0.498 0.495 0.494 0.471 0.472 3 4 6 7 0.498 0.522 0.493 0.494 0.495 0.479 0.521 0.484 0.493 9 0.506 0.507 0.482 0.506 0.524 0.507 0.507 0.483 0.485 0.486 0.493 0.506 10 11 12 13 14 15 0.474 0.464 0.518 0.512 0.509 0,503 0.485 0.483 0.527 0.482 0.472 0.504 0.483 0.482 0.473 0,517 0.492 0.472 0.482 0.513 16 17 18 19 20 a. Calculate the mean and range for the above samples. (Do not round intermediate calculations. Round your answers to 3 decimal places.) Sample Number Mean Range 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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