Draw a scatter diagram for these data. Does there appear to be a relationship between run size and percent failure What implications do these data have for Oregon Fiber Board's business?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section: Chapter Questions
Problem 1C
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7. Oregon Fiber Board makes roof liners for the automotive industry. The manufacturing
manager is concerned about product quality. She suspects that one particular failure, tears
in the fabric, is related to production-run size. An assistant gathers the following data from
production records.
Run
1
2
3
4
5
6
7
8
9
10
Size
1,000
4,100
2,000
6,000
6,800
3,000
2,000
1,200
5,000
3,800
Failures (%)
3.5
3.8
5.5
1.9
2.0
3.2
3.8
4.2
3.8
3.0
Run
11
12
13
14
15
16
17
18
19
20
Size
6,500
1,000
7,000
3,000
2,200
1,800
5,400
5,800
1,000
1,500
Failures (%)
1.5
5.5
1.0
4.5
4.2
6.0
2.0
2.0
6.2
7.0
a. Draw a scatter diagram for these data.
b. Does there appear to be a relationship between run size and percent failures?
What implications do these data have for Oregon Fiber Board's business?
Transcribed Image Text:7. Oregon Fiber Board makes roof liners for the automotive industry. The manufacturing manager is concerned about product quality. She suspects that one particular failure, tears in the fabric, is related to production-run size. An assistant gathers the following data from production records. Run 1 2 3 4 5 6 7 8 9 10 Size 1,000 4,100 2,000 6,000 6,800 3,000 2,000 1,200 5,000 3,800 Failures (%) 3.5 3.8 5.5 1.9 2.0 3.2 3.8 4.2 3.8 3.0 Run 11 12 13 14 15 16 17 18 19 20 Size 6,500 1,000 7,000 3,000 2,200 1,800 5,400 5,800 1,000 1,500 Failures (%) 1.5 5.5 1.0 4.5 4.2 6.0 2.0 2.0 6.2 7.0 a. Draw a scatter diagram for these data. b. Does there appear to be a relationship between run size and percent failures? What implications do these data have for Oregon Fiber Board's business?
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