AnderSet Laboratories produces rough lenses that will ultimately be ground into precision lenses for use in laboratory equipment. The company has developed the following thickness measures, based on 15 samples of four lenses that were taken when the process was under control: Click the icon to view the sample data. Click the icon to view the values of the A₂, D3, and D4 constants. a. X is 3.985. (Enter your response rounded to three decimal places.) R is 0.630. (Enter your response rounded to three decimal places.) Upper Control Limit (UCL) = 4.445. (Enter your response rounded to three decimal places.) Lower Control Limit (LCL) = 3.525. (Enter your response rounded to three decimal places.) Upper Control Limit (UCLR)= 1.436. (Enter your response rounded to three decimal places.) Lower Control Limit (LCLR) = (Enter your response rounded to three decimal places.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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5-4

Sample data:

Mean (Microns) (N=4)    Minimum    Maximum
3.821    3.764    3.999
3.946    3.804    4.251
4.049    4.039    4.454
3.793    3.779    3.923
3.635    3.534    4.068
4.046    3.578    4.504
3.569    2.974    3.908
4.084    3.779    5.667
3.414    2.806    4.256
5.319    5.168    6.346
4.096    4.092    4.223
4.108    3.957    4.308
4.037    3.982    4.393
3.789    3.691    3.853
4.066    4.023    4.269

 

Constants:

 

Sample Size N

A2

D3

D4

2

1.88

0

3.27

3

1.02

0

2.57

4

0.73

0

2.28

5

0.58

0

2.11

6

0.48

0

2.00

7

0.42

0.08

1.92

8

0.37

0.14

1.86

9

0.34

0.18

1.82

10

0.31

0.22

1.78

11

0.29

0.26

1.74

12

0.27

0.28

1.72

 

AnderSet Laboratories produces rough lenses that will ultimately be ground into precision
lenses for use in laboratory equipment. The company has developed the following
thickness measures, based on 15 samples of four lenses that were taken when the process was
under control:
Click the icon to view the sample data.
Click the icon to view the values of the A₂, D3, and D4 constants.
=
a. X is 3.985. (Enter your response rounded to three decimal places.)
R is 0.630. (Enter your response rounded to three decimal places.)
Upper Control Limit (UCL)= 4.445. (Enter your response rounded to three
decimal places.)
Lower Control Limit (LCLx)= 3.525. (Enter your response rounded to three
decimal places.)
Upper Control Limit (UCLR) = 1.436. (Enter your response rounded to three
decimal places.)
Lower Control Limit (LCLR) =
(Enter your response rounded to three decimal places.)
Transcribed Image Text:AnderSet Laboratories produces rough lenses that will ultimately be ground into precision lenses for use in laboratory equipment. The company has developed the following thickness measures, based on 15 samples of four lenses that were taken when the process was under control: Click the icon to view the sample data. Click the icon to view the values of the A₂, D3, and D4 constants. = a. X is 3.985. (Enter your response rounded to three decimal places.) R is 0.630. (Enter your response rounded to three decimal places.) Upper Control Limit (UCL)= 4.445. (Enter your response rounded to three decimal places.) Lower Control Limit (LCLx)= 3.525. (Enter your response rounded to three decimal places.) Upper Control Limit (UCLR) = 1.436. (Enter your response rounded to three decimal places.) Lower Control Limit (LCLR) = (Enter your response rounded to three decimal places.)
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