Case Study I: A gauge is to be used for data collection as part of a new SPC program. The quality engineer would like to assess the gauge capability. Thirty units produced in succession are taken from the process and measured twice by the operator. The data are shown below: Readings Readings Readings Part no. 1 2 Part no. 1 2 Part no. 1 2 1 4.2 4.1 11 4.0 4.0 21 5.7 5.6 2 5.1 5.1 12 5.0 5.0 22 6.2 6.1 3 4.8 4.8 13 4.1 4.2 23 4.1 3.9 4 3.3 3.3 14 5.7 5.5 24 6.8 6.9 5 6.4 6.4 15 4.3 4.2 25 3.1 3.0 6 5.0 4.8 16 6.0 5.8 26 2.5 2.5 7 4.0 4.0 17 5.7 5.7 27 5.0 4.9 8 6.2 6.1 18 4.2 4.3 28 3.5 3.3 9 3.5 3.5 19 2.9 3.0 29 8.3 8.1 10 4.9 4.9 20 5.0 5.2 30 5.0 4.9 (A) Does it appear that the operator is having difficulty using the gauge? (B) What is your best estimate of the gauge variability? (C) Estimate the product variability.
Case Study I: A gauge is to be used for data collection as part of a new SPC program. The quality engineer would like to assess the gauge capability. Thirty units produced in succession are taken from the process and measured twice by the operator. The data are shown below: Readings Readings Readings Part no. 1 2 Part no. 1 2 Part no. 1 2 1 4.2 4.1 11 4.0 4.0 21 5.7 5.6 2 5.1 5.1 12 5.0 5.0 22 6.2 6.1 3 4.8 4.8 13 4.1 4.2 23 4.1 3.9 4 3.3 3.3 14 5.7 5.5 24 6.8 6.9 5 6.4 6.4 15 4.3 4.2 25 3.1 3.0 6 5.0 4.8 16 6.0 5.8 26 2.5 2.5 7 4.0 4.0 17 5.7 5.7 27 5.0 4.9 8 6.2 6.1 18 4.2 4.3 28 3.5 3.3 9 3.5 3.5 19 2.9 3.0 29 8.3 8.1 10 4.9 4.9 20 5.0 5.2 30 5.0 4.9 (A) Does it appear that the operator is having difficulty using the gauge? (B) What is your best estimate of the gauge variability? (C) Estimate the product variability.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 5CR
Related questions
Question
Transcribed Image Text:Case Study I:
A gauge is to be used for data collection as part of a new SPC program. The quality engineer
would like to assess the gauge capability. Thirty units produced in succession are taken from
the process and measured twice by the operator. The data are shown below:
Readings
Readings
Readings
Part no.
1
2
Part no.
1
2
Part no.
1
2
1
4.2
4.1
11
4.0
4.0
21
5.7
5.6
2
5.1
5.1
12
5.0
5.0
22
6.2
6.1
3
4.8
4.8
13
4.1
4.2
23
4.1
3.9
4
3.3
3.3
14
5.7
5.5
24
6.8
6.9
5
6.4
6.4
15
4.3
4.2
25
3.1
3.0
6
5.0
4.8
16
6.0
5.8
26
2.5
2.5
7
4.0
4.0
17
5.7
5.7
27
5.0
4.9
8
6.2
6.1
18
4.2
4.3
28
3.5
3.3
9
3.5
3.5
19
2.9
3.0
29
8.3
8.1
10
4.9
4.9
20
5.0
5.2
30
5.0
4.9
(A) Does it appear that the operator is having difficulty using the gauge?
(B) What is your best estimate of the gauge variability?
(C) Estimate the product variability.
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