Page 13 of 23
Criteria
Rating
Weights
Totals
1
0
10
0
2
5
10
50
3
5
10
50
4
3
5
15
5
0
5
0
6
5
10
50
7
5
5
25
8
5
5
25
9
3
10
30
10
0
10
0
11
5
10
50
12
3
10
30
13
0
10
0
14
0
5
0
15
0
10
0
16
5
5
25
17
5
10
50
18
5
10
50
19
0
10
0
20
0
10
0
21
3
10
30
22
3
5
15
23
3
5
15
24
3
10
30
13. Here are the answers to the worksheets in Figures 13-6 and 13-7. Using these
responses, develop a risk assessment for this project. Produce a risk and return
matrix to determine if this project is worth pursuing. Use the weights in Figure
13-6.
1 no 6. yes 11. yes 16. yes
2. yes 7. no 12. yes 17. uncertain
4. yes 9. uncertain 14. yes 19. yes
21. uncertain 22. uncertain 23. uncertain 24. uncertain
Page 14 of 23
Criteria
Rating
Weights
1
5
10
2
0
10
3
5
10
4
0
5
5
3
5
6
0
10
7
5
5
8
5
5
9
3
10
10
5
10
11
0
10
12
0
10
13
0
10
14
0
5
15
0
10
16
0
5
17
3
10
18
0
10
19
0
10
20
0
10
21
3
10
22
3
5
23
3
5
24
3
10
14. Using the following data, perform a gauge R&R analysis where there are two
replications for each part number.
Operator
1
Operator
2
Operator
3
1
28.35
27.2
26.03
27.2
28.77
2
32.4
32.64
31.51
31.05
32.64
32.88
3
25.84
27.4
28.35
28.56
30.14
4
36.45
38.08
36.99
36.45
35.36
38.36
25.65
25.84
24.66
24.3
24.48
28.77
31.05
32.64
31.51
28.35
28.56
30.14
29.7
29.92
30.14
28.35
32.64
27.4
25.65
24.48
26.03
22.95
27.2
24.66
32.4
34
32.88
31.05
31.28
32.88
10
33.75
35.36
32.88
31.05
34
34.25
11
28.35
27.2
28.77
27
27.2
27.4
12
24.3
23.12
24.66
25.65
25.84
26.03
13
31.05
34
34.25
33.75
34
34.25
14
32.4
31.28
32.88
32.4
34
34.25
15
39.15
40.8
42.47
40.5
38.08
41.1
16
35.1
34
34.25
35.1
35.36
36.99
17
27
25.84
27.4
27
27.2
27.4
18
25.65
25.84
28.77
28.35
25.84
31.51
19
33.75
34
34.25
35.1
32.64
34.25
20
25.65
24.48
26.03
25.65
23.12
23.29
Anova: Two-Factor With Replication
SUMMA
RY
Operator
1
Operator
2
Operator
3
Total
1
Count
2
2
2
6
Sum
55.35
54.4
54.8
164.55
Average
27.675
27.2
27.4
27.425
Variance
0.91125
0
0.97851
Page 16 of 23
2
Count
2
2
2
6
Sum
65.28
64.39
193.12
Average
32.64
Variance
0
3
Count
2
2
2
6
Sum
57.54
167.29
Average
28.77
Variance
4
Count
2
2
2
6
Sum
72.9
73.44
75.35
221.69
Average
36.72
Variance
0
5
Count
2
2
2
6
Sum
50.32
53.43
Average
25.16
Variance
6
Count
2
2
2
6
Sum
59.4
61.65
182.25
Average
29.7
Variance
7
Count
2
2
2
6
Sum
62.56
57.54
178.15
Average
31.28
28.77
Variance
8
Count
2
2
2
6
Sum
48.6
51.68
50.69
150.97
Average
24.3
25.84
Variance
Page 17 of 23
9
Count
2
2
2
6
Sum
63.45
65.28
65.76
194.49
Average
32.64
32.88
Variance
0
10
Count
2
2
2
6
Sum
64.8
69.36
67.13
201.29
Average
32.4
34.68
Variance
3.645
11
Count
2
2
2
6
Sum
55.35
54.4
56.17
165.92
Average
27.2
Variance
0
12
Count
2
2
2
6
Sum
49.95
48.96
50.69
149.6
Average
24.48
Variance
13
Count
2
2
2
6
Sum
64.8
68
68.5
201.3
Average
32.4
34
34.25
33.55
Variance
3.645
0
0
1.535
14
Count
2
2
2
6
Sum
64.8
65.28
67.13
197.21
Average
32.4
32.64
Variance
0
15
Count
2
2
2
6
Sum
79.65
78.88
83.57
242.1
Average
39.44
40.35
Variance
Page 18 of 23
16
Count
2
2
2
6
Sum
70.2
69.36
71.24
210.8
Average
35.1
34.68
35.62
35.13333
Variance
0
1.113107
17
Count
2
2
2
6
Sum
54
53.04
54.8
161.84
Average
27
26.52
27.4
26.97333
Variance
0
0
0.340267
18
Count
2
2
2
6
Sum
54
51.68
60.28
165.96
Average
27
25.84
30.14
27.66
Variance
3.645
0
5.43912
19
Count
2
2
2
6
Sum
68.85
66.64
68.5
203.99
Average
34.425
33.32
34.25
33.99833
Variance
0.91125
0
0.649417
20
Count
2
2
2
6
Sum
51.3
47.6
49.32
148.22
Average
25.65
23.8
24.66
24.70333
Variance
0
1.621347
Total
Count
40
40
40
Sum
1204.2
1211.76
1238.48
Average
30.105
Variance
18.33715
21.0558
ANOVA
Source of
Variation
SS
df
MS
F
P-value
F crit
Sample
2193.02
19
115.4221
62.83298
1.72E-32
1.762547
Columns
16.21859
2
4.414502
0.01627
3.150411
n
Page 19 of 23
Total
2370.121
119
15. Perform a gauge R&R analysis where there are three replications. What are
your findings?
Operator
1
Operator
2
Operator
3
1
21
20
19
20
20
21
2
24
24
23
23
24
24
22
23
24
3
20
19
20
21
21
22
22
22
22
4
27
28
27
27
26
28
26
25
26
5
19
19
18
18
18
21
19
18
16
6
23
24
23
21
21
22
22
22
21
7
22
22
22
21
24
20
24
24
23
8
19
18
19
17
20
18
19
18
19
9
24
25
24
23
23
24
24
25
24
10
25
26
24
23
25
25
25
24
26
11
21
20
21
20
20
20
26
26
25
12
18
17
18
Page 20 of 23
25
25
25
24
24
24
14
24
23
24
24
25
25
23
23
24
15
29
30
31
30
28
30
25
26
31
16
26
25
25
26
26
27
26
25
28
17
20
19
20
20
20
20
20
20
20
18
19
19
21
21
19
23
22
22
22
19
27
26
25
25
25
25
26
24
25
20
19
18
19
19
17
17
18
19
18
Anova: Two-Factor With Replication
SUMMAR
Y
Operator
1
Operator
2
Operator
3
Total
1
Count
3
3
3
9
Sum
183
Average
Variance
0
2
Count
3
3
3
9
Sum
211
Average
Variance
1
3
Count
3
3
3
9
Sum
189
Page 21 of 23
4
Count
3
3
3
9
Sum
80
79
81
240
Average
26.66667
26.33333
27
26.66667
Variance
0.333333
2.333333
1
1
5
Count
3
3
3
9
Sum
56
55
55
166
Average
18.66667
18.33333
18.33333
18.44444
Variance
0.333333
0.333333
6.333333
1.777778
6
Count
3
3
3
9
Sum
66
67
66
199
Average
22
22.33333
22
22.11111
Variance
1
2.333333
1
1.111111
7
Count
3
3
3
9
Sum
67
70
65
202
Average
22.33333
23.33333
21.66667
22.44444
Variance
2.333333
1.333333
2.333333
2.027778
8
Count
3
3
3
9
Sum
55
56
56
167
Average
18.33333
18.66667
18.66667
18.55556
Variance
1.333333
1.333333
0.333333
0.777778
9
Count
3
3
3
9
Sum
71
73
72
216
Average
23.66667
24.33333
24
Variance
0.333333
1.333333
0
Count
3
3
3
9
Sum
73
75
75
223
Average
24.33333
25
25
24.77778
Variance
1.333333
1
1
0.944444
Page 22 of 23
11
Count
3
3
3
9
Sum
67
66
66
199
Average
22
22
Variance
12
7
12
Count
3
3
3
9
Sum
55
55
57
167
Average
19
Variance
1
13
Count
3
3
3
9
Sum
72
74
74
220
Average
24
Variance
1
14
Count
3
3
3
9
Sum
71
71
73
215
Average
Variance
15
Count
3
3
3
9
Sum
84
84
92
260
Average
28
28
Variance
7
4
16
Count
3
3
3
9
Sum
78
76
80
234
Average
26
Variance
0
1
17
Count
3
3
3
9
Sum
60
59
60
179
Average
20
20
Variance
0
0
Page 23 of 23
18
Count
3
3
3
9
Sum
62
60
66
188
Average
20.66667
20
22
20.88889
Variance
2.333333
3
1
2.361111
19
Count
3
3
3
9
Sum
78
75
75
228
Average
26
25
25
25.33333
Variance
1
1
0
20
Count
3
3
3
9
Sum
56
54
54
164
Average
18.66667
18
18
18.22222
Variance
0.333333
1
1
0.694444
Count
60
60
60
Sum
Average
22.41667
22.36667
22.71667
Variance
9.230226
9.931073
11.42684
ANOVA
Source of
Variation
SS
df
MS
F
P-value
F crit
Sample
1575.222
19
82.90643
50.93228
2.83E-48
1.673879
Columns
2
1.320819
0.270769
3.071776
Interaction
34.14444
38
0.898538
0.552003
0.981409
1.504944
Within
1.627778
Total
Operator effects are insignificant.