1) An instrument is to be used as part of a proposed SPC implementation. The quality improvement team involved in designing the SPC system would like to get an assessment of gauge repeatability and reproducibility. Ten units of the product are obtained, and two process operators are selected to take the measurements three times each. The data are shown below Operator 1 Measurements Operator 2 Measurements Part Number 1 10 12222222222 23456782 19 22 23 24 25 20 18 222 24 3222 23 24 21 20 19 21 18 24 26 2222 24 23 20 21 23 26 23 23 24 -2222222227 2 25 27 18 16 24 23 23 15 22222222 27 21 25 24 25 21 18 20 20 32222222222 24 20 25 25 a) Estimate gauge repeatability and reproducibility. b) Estimate the standard deviation of measurement error. c) If the specifications are 20 ± 5, what can you say about gauge capability?

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1) An instrument is to be used as part of a proposed SPC implementation. The quality
improvement team involved in designing the SPC system would like to get an
assessment of gauge repeatability and reproducibility. Ten units of the product are
obtained, and two process operators are selected to take the measurements three
times each. The data are shown below
Operator 1
Measurements
Operator 2
Measurements
Part Number
1
1
19
23
2
24
25
3
22
24
4
20
23
5
18
21
6
22
19
7
21
24
8
18
20
9
24
23
10
26
23
32222222222
22222222222
20
25
24
12622
2
25
27
18
16
20
24
27
21
20
27
25
21
23
24
21
26
222
25
21
18
20
24
15
20
32222222222
25
a) Estimate gauge repeatability and reproducibility.
b) Estimate the standard deviation of measurement error.
c) If the specifications are 20 ± 5, what can you say about
gauge
capability?
Transcribed Image Text:Practice Questions 1) An instrument is to be used as part of a proposed SPC implementation. The quality improvement team involved in designing the SPC system would like to get an assessment of gauge repeatability and reproducibility. Ten units of the product are obtained, and two process operators are selected to take the measurements three times each. The data are shown below Operator 1 Measurements Operator 2 Measurements Part Number 1 1 19 23 2 24 25 3 22 24 4 20 23 5 18 21 6 22 19 7 21 24 8 18 20 9 24 23 10 26 23 32222222222 22222222222 20 25 24 12622 2 25 27 18 16 20 24 27 21 20 27 25 21 23 24 21 26 222 25 21 18 20 24 15 20 32222222222 25 a) Estimate gauge repeatability and reproducibility. b) Estimate the standard deviation of measurement error. c) If the specifications are 20 ± 5, what can you say about gauge capability?
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