6.21. Parts manufactured by an injection molding process are subjected to a compressive strength test. Twenty samples of five parts each are col- lected, and the compressive strengths (in psi) are shown in Table 6E.12. (a) Establish x and R control charts for compressive strength using these data. Is the process in statis- tical control? (b) After establishing the control charts in part (a), 15 new subgroups were collected and the com- pressive strengths are shown in Table 6E.13. Plot the i and R values against the control units from part (a) and draw conclusions. 6.22. Reconsider the data presented in Exercise 6.21. (a) Rework both parts (a) and (b) of Exercise 6.21 using the x and s charts.
6.21. Parts manufactured by an injection molding process are subjected to a compressive strength test. Twenty samples of five parts each are col- lected, and the compressive strengths (in psi) are shown in Table 6E.12. (a) Establish x and R control charts for compressive strength using these data. Is the process in statis- tical control? (b) After establishing the control charts in part (a), 15 new subgroups were collected and the com- pressive strengths are shown in Table 6E.13. Plot the i and R values against the control units from part (a) and draw conclusions. 6.22. Reconsider the data presented in Exercise 6.21. (a) Rework both parts (a) and (b) of Exercise 6.21 using the x and s charts.
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Question
Focus on excercise 6.22
Very important Note:
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![TABLE 6E.12
Strength Data for Exercise 6.21
Sample
Number
X3
X4
83.0
81.2
78.7
75.7
77.0
79.1
7.3
2
88.6
78.3
78.8
71.0
84.2
80.2
17.6
3
85.7
75.8
84.3
75.2
81.0
80.4
10.4
4
80.8
74.4
82.5
74.1
75.7
77.5
8.4
5
83.4
78.4
82.6
78.2
78.9
80.3
5.2
75.3
79.9
87.3
89.7
81.8
82.8
14.5
7
74.5
78.0
80.8
73.4
79.7
77.3
7.4
79.2
84.4
81.5
86.0
74.5
81.1
11.4
9
80.5
86.2
76.2
64.1
80.2
81.4
9.9
10
75.7
75.2
71.1
82.1
74.3
75.7
10.9
11
80.0
81.5
78.4
73.8
78.1
78.4
7.7
12
80.6
81.8
79.3
73.8
81.7
79.4
8.0
13
82.7
81.3
79.1
82.0
79.5
80.9
3.6
14
79.2
74.9
78.6
77.7
75.3
77.1
4.3
15
85.5
82.1
82.8
73.4
71.7
79.1
13,8
16
78.8
79.6
80.2
79.1
80.8
79.7
2.0
17
82.1
78.2
75.5
78.2
82.1
79.2
6.6
18
84.5
76.9
83.5
81.2
79.2
81.1
7.6
19
79.0
77.8
81.2
84.4
81.6
80.8
6.6
20
84.5
73.1
78.6
78.7
80.6
79.1
11.4
(b) Does the s chart detect the shift in process vari-
ability more quickly than the R chart did origi-
nally in part (b) of Exercise 6.21?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44019e06-09c9-40c8-b8d4-41202dcc3c5b%2F61a10251-3e89-4a32-9124-8b24142fdebb%2F2q8hulk_processed.png&w=3840&q=75)
Transcribed Image Text:TABLE 6E.12
Strength Data for Exercise 6.21
Sample
Number
X3
X4
83.0
81.2
78.7
75.7
77.0
79.1
7.3
2
88.6
78.3
78.8
71.0
84.2
80.2
17.6
3
85.7
75.8
84.3
75.2
81.0
80.4
10.4
4
80.8
74.4
82.5
74.1
75.7
77.5
8.4
5
83.4
78.4
82.6
78.2
78.9
80.3
5.2
75.3
79.9
87.3
89.7
81.8
82.8
14.5
7
74.5
78.0
80.8
73.4
79.7
77.3
7.4
79.2
84.4
81.5
86.0
74.5
81.1
11.4
9
80.5
86.2
76.2
64.1
80.2
81.4
9.9
10
75.7
75.2
71.1
82.1
74.3
75.7
10.9
11
80.0
81.5
78.4
73.8
78.1
78.4
7.7
12
80.6
81.8
79.3
73.8
81.7
79.4
8.0
13
82.7
81.3
79.1
82.0
79.5
80.9
3.6
14
79.2
74.9
78.6
77.7
75.3
77.1
4.3
15
85.5
82.1
82.8
73.4
71.7
79.1
13,8
16
78.8
79.6
80.2
79.1
80.8
79.7
2.0
17
82.1
78.2
75.5
78.2
82.1
79.2
6.6
18
84.5
76.9
83.5
81.2
79.2
81.1
7.6
19
79.0
77.8
81.2
84.4
81.6
80.8
6.6
20
84.5
73.1
78.6
78.7
80.6
79.1
11.4
(b) Does the s chart detect the shift in process vari-
ability more quickly than the R chart did origi-
nally in part (b) of Exercise 6.21?
![6.21. Parts manufactured by an injection molding
process are subjected to a compressive strength
test. Twenty samples of five parts each are col-
lected, and the compressive strengths (in psi) are
shown in Table 6E.12.
(a) Establish x and R control charts for compressive
strength using these data. Is the process in statis-
tical control?
(b) After establishing the control charts in part (a),
15 new subgroups were collected and the com-
pressive strengths are shown in Table 6E.13. Plot
the i and R values against the control units from
part (a) and draw conclusions.
6.22. Reconsider the data presented in Exercise 6.21.
(a) Rework both parts (a) and (b) of Exercise 6.21
using the x and s charts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44019e06-09c9-40c8-b8d4-41202dcc3c5b%2F61a10251-3e89-4a32-9124-8b24142fdebb%2Fllya99a_processed.png&w=3840&q=75)
Transcribed Image Text:6.21. Parts manufactured by an injection molding
process are subjected to a compressive strength
test. Twenty samples of five parts each are col-
lected, and the compressive strengths (in psi) are
shown in Table 6E.12.
(a) Establish x and R control charts for compressive
strength using these data. Is the process in statis-
tical control?
(b) After establishing the control charts in part (a),
15 new subgroups were collected and the com-
pressive strengths are shown in Table 6E.13. Plot
the i and R values against the control units from
part (a) and draw conclusions.
6.22. Reconsider the data presented in Exercise 6.21.
(a) Rework both parts (a) and (b) of Exercise 6.21
using the x and s charts.
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