a) A tube of toothpaste is set to be automatically filled to 6.35 ounces. Every four hours 4 tubes were sampled and the following data was recorded, Table 3a. Sample X 1 2 HNMAS6799 3 4 5 6 8 R Sample X R Sample X 6.35 2.0 10 6.36 1.0 11 6.37 1.7 12 6.39 0.9 13 6.34 1.2 14 6.30 1.6 15 6.32 1.8 16 6.33 1.3 17 6.37 1.6 6.35 1.3 19 6.38 6.33 1.8 20 6.32 1.0 21 6.36 1.8 6.33 1.5 6.34 1.7 6.34 1.4 6.35 1.1 18 6.36 1.8 222222 23 24 b) Describe four basic categories of quality costs. R 1.3 6.35 1.6 6.39 1.0 6.32 1.8 25 Table 3a i. Using this data, find the UCL and LCL for the data ii. Plot the X-bar and R-charts. 6.33 1.7 6.40 2.0 6.34 1.5 iii. Explain and justify whether the quality control process is adequate. iv. What other remedies could the quality control department implement?
a) A tube of toothpaste is set to be automatically filled to 6.35 ounces. Every four hours 4 tubes were sampled and the following data was recorded, Table 3a. Sample X 1 2 HNMAS6799 3 4 5 6 8 R Sample X R Sample X 6.35 2.0 10 6.36 1.0 11 6.37 1.7 12 6.39 0.9 13 6.34 1.2 14 6.30 1.6 15 6.32 1.8 16 6.33 1.3 17 6.37 1.6 6.35 1.3 19 6.38 6.33 1.8 20 6.32 1.0 21 6.36 1.8 6.33 1.5 6.34 1.7 6.34 1.4 6.35 1.1 18 6.36 1.8 222222 23 24 b) Describe four basic categories of quality costs. R 1.3 6.35 1.6 6.39 1.0 6.32 1.8 25 Table 3a i. Using this data, find the UCL and LCL for the data ii. Plot the X-bar and R-charts. 6.33 1.7 6.40 2.0 6.34 1.5 iii. Explain and justify whether the quality control process is adequate. iv. What other remedies could the quality control department implement?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:a) A tube of toothpaste is set to be automatically filled to 6.35 ounces. Every four
hours 4 tubes were sampled and the following data was recorded, Table 3a.
Sample
HOMES6789
2
3
4
5
X R
6.35 2.0
6.36 1.0
6.37
1.7
6.39
0.9
6.34 1.2
6.30 1.6
6.32 1.8
6.33 1.3
6.37 1.6
Sample X R Sample
6.35 1.3 19
10
11
6.33
6.32
6.36
PP
12
13
FP
∞69S7WNTOR
14
15
16
17
18
bobo wi
Table 3a
1.8
1.0
1.8
6.33 1.5 23
6.34 1.7 24
6.34 1.4
25
6.35 1.1
6.36
1.8
CHELE
X
R
6.38
1.3
20 6.35 1.6
6.39 1.0
21
22 6.32 1.8
6.33
6.40
6.34
i. Using this data, find the UCL and LCL for the data
ii. Plot the X-bar and R-charts.
HANNE
b) Describe four basic categories of quality costs.
1.7
2.0
1.5
iii. Explain and justify whether the quality control process is adequate.
iv. What other remedies could the quality control department implement?
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