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Q4) Ten samples of size four were taken from a process, and their weights measured. The sample averages and sample ranges are in the following table. Construct and plot an x-bar and R-chart using these data. Is the process in control? Sample Mean Range 1 20.01 0.45 2 19.98 0.67 3 20.25 0.30 4 19.90 0.30 5 20.35 0.36 6 19.23 0.49 7 20.01 0.53 8 19.98 0.40 9 20.56 0.95 10 19.97 0.79

Q4) Ten samples of size four were taken from a process, and their weights measured. The sample averages and sample ranges are in the following table. Construct and plot an x-bar and R-chart using these data. Is the process in control? Sample Mean Range 1 20.01 0.45 2 19.98 0.67 3 20.25 0.30 4 19.90 0.30 5 20.35 0.36 6 19.23 0.49 7 20.01 0.53 8 19.98 0.40 9 20.56 0.95 10 19.97 0.79

Practical Management Science
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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Q4) Ten samples of size four were taken from a process, and their weights measured. The sample averages and sample ranges are in the following table. Construct and plot an x-bar and R-chart using these data. Is the process in control?

Sample

Mean

Range

1

20.01

0.45

2

19.98

0.67

3

20.25

0.30

4

19.90

0.30

5

20.35

0.36

6

19.23

0.49

7

20.01

0.53

8

19.98

0.40

9

20.56

0.95

10

19.97

0.79

 

 

TABLE 56.1 SAMPLE SIZE, n 2 3 4 5 6 7 8 9 10 12 Factors for Computing Control Chart Limits (3 sigma) MEAN FACTOR, A₂ 1.880 1.023 729 577 483 419 373 337 308 266 UPPER RANGE, D₂ 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 LOWER RANGE, D, 0 0 0 0 0 0.076 0.136 0.184 0.223 0.284
Transcribed Image Text:TABLE 56.1 SAMPLE SIZE, n 2 3 4 5 6 7 8 9 10 12 Factors for Computing Control Chart Limits (3 sigma) MEAN FACTOR, A₂ 1.880 1.023 729 577 483 419 373 337 308 266 UPPER RANGE, D₂ 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 LOWER RANGE, D, 0 0 0 0 0 0.076 0.136 0.184 0.223 0.284
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