A coffee producer wishes to produce new 50-gram pack for people who like to bring their own coffee when they travel. The producer asked your help to monitor the quality of the process by setting up the appropriate control charts. Based on the data shown in the table, is the process in control? Sample 1 2 3 4 5 6 7 8 9 2 3 4 Values for A2, D3 and D4 Sample Size n A2 D3 D4 1.88 0 3.27 1.02 0 2.57 0.73 0 2.28 0.58 0 2.11 0.48 0 2.00 0.42 0.08 1.92 0.37 0.14 1.86 0.34 0.18 1.82 0.31 0.22 1.78 0.29 0.26 1.74 0.27 0.28 1.72 5 6 78 1 54.5 50.6 51.1 52.7 51.7 51.1 54.0 53.2 51.9 9 10 11 12 Observation 2 54.3 53.5 54.3 52.1 51.2 51.5 52.3 50.4 50.2 3 53.8 53.2 50.4 51.3 54.7 54.7 54.7 53.4 50.2 4 50.4 54.9 50.7 51.0 54.3 50.4 51.4 51.4 52.9

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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Question 3
A coffee producer wishes to produce new 50-gram pack for people who like
to bring their own coffee when they travel. The producer asked your help to
monitor the quality of the process by setting up the appropriate control charts.
Based on the data shown in the table, is the process in control?
Sample
2
3
4
5
6
7
8
9
2
3
4
Values for A2, D3 and D4
Sample Size n
10
1
54.5
50.6
51.1
52.7
51.7
5
6
7
8
9
10
11
51.1
54.0
53.2
51.9
A2 D3
1.88
0
1.02
0
0.73 0
0.58 0
0.48
0
0.42 0.08
0.37 0.14
0.34 0.18
0.31 0.22
0.29
0.26
12
0.27 0.28
Show all your workings clearly.
2
54.3
53.5
54.3
52.1
51.2
Observation
51.5
52.3
50.4
50.2
D4
3.27
2.57
2.28
2.11
2.00
1.92
1.86
1.82
1.78
1.74
1.72
3
53.8
53.2
50.4
51.3
54.7
54.7
54.7
53.4
50.2
4
50.4
54.9
50.7
51.0
54.3
50.4
51.4
51.4
52.9
Transcribed Image Text:Question 3 A coffee producer wishes to produce new 50-gram pack for people who like to bring their own coffee when they travel. The producer asked your help to monitor the quality of the process by setting up the appropriate control charts. Based on the data shown in the table, is the process in control? Sample 2 3 4 5 6 7 8 9 2 3 4 Values for A2, D3 and D4 Sample Size n 10 1 54.5 50.6 51.1 52.7 51.7 5 6 7 8 9 10 11 51.1 54.0 53.2 51.9 A2 D3 1.88 0 1.02 0 0.73 0 0.58 0 0.48 0 0.42 0.08 0.37 0.14 0.34 0.18 0.31 0.22 0.29 0.26 12 0.27 0.28 Show all your workings clearly. 2 54.3 53.5 54.3 52.1 51.2 Observation 51.5 52.3 50.4 50.2 D4 3.27 2.57 2.28 2.11 2.00 1.92 1.86 1.82 1.78 1.74 1.72 3 53.8 53.2 50.4 51.3 54.7 54.7 54.7 53.4 50.2 4 50.4 54.9 50.7 51.0 54.3 50.4 51.4 51.4 52.9
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