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 54.5 Observation 2 54.3 3 53.8 4 50.4

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Chapter1: Starting With Matlab
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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
1
2
3
4
5
6
7
8
9
1
54.5
50.6
51.1
52.7
51.7
51.1
54.0
53.2
51.9
Values for A2, D3 and D4
Sample Size n
A2
1.88
1.02
0.73
0.58
2
3
4
5
6
D3
0
0
0
D4
3.27
2.57
2.28
2.11
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
Show all your workings clearly.
lo
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
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 1 2 3 4 5 6 7 8 9 1 54.5 50.6 51.1 52.7 51.7 51.1 54.0 53.2 51.9 Values for A2, D3 and D4 Sample Size n A2 1.88 1.02 0.73 0.58 2 3 4 5 6 D3 0 0 0 D4 3.27 2.57 2.28 2.11 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 Show all your workings clearly. lo 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
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