According to this R chart, is the process within statistical control? If not, provide a reason why not. a. It does not appear to be within statistical control because at least one point is more extreme than the UCL or LCL. b. It appears to be within statistical control. c. It does not appear to be within statistical control because there is an obvious non-random trend, cycle, or pattern in the points. d. It does not appear to be within statistical control because at least 8 consecutive points are located all above or all below the centerline.
According to this R chart, is the process within statistical control? If not, provide a reason why not. a. It does not appear to be within statistical control because at least one point is more extreme than the UCL or LCL. b. It appears to be within statistical control. c. It does not appear to be within statistical control because there is an obvious non-random trend, cycle, or pattern in the points. d. It does not appear to be within statistical control because at least 8 consecutive points are located all above or all below the centerline.
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Question
Refer to the R chart in Section 8.2 Exercise 6 of the text.
According to this R chart, is the process within statistical control? If not, provide a reason why not.
| a. | It does not appear to be within statistical control because at least one point is more extreme than the UCL or LCL. | b. | It appears to be within statistical control. |
|---|---|---|---|
| c. | It does not appear to be within statistical control because there is an obvious non-random trend, cycle, or pattern in the points. | d. | It does not appear to be within statistical control because at least 8 consecutive points are located all above or all below the centerline. |
Transcribed Image Text:Refer to the R chart in Section 8.2 Exercise 6 of the text.
According to this R chart, is the process within statistical control? If not, provide a
reason why not.
It does not appear to be within
It appears to be within statistical
b.
statistical control because at least
control.
one point is more extreme than the
UCL or LCL.
It does not appear to be within
d. It does not appear to be within
statistical control because there is
statistical control because at least 8
an obvious non-random trend,
consecutive points are located all
cycle, or pattern in the points.
above or all below the centerline.
Transcribed Image Text:6.
Subgroup
Sample Values
R
1
6.17
5.62
5.65
5.15
5.62
7.34
5.34
5.66
5.81875
2.19
0.25
2
5.30
5.34
5.86
6.32
5.88
6.74
5.87
5.17
5.81
1.57
0.375
3
5.81
6.41
6.96
5.39
7.20
6.03
6.25
6.54
6.32375
1.81
0.125
4
5.29
7.49
5,71
6.47
6.35
5.72
5.44
5.99
6.0575
2.20
0.25
5.82
5.79
6.13
5.71
5.48
5.46
0.76
0.375
5.37
6.01
5.75
5.68875
6.
4.62
6.56
5.73
5.70
5.67
5.55
5.85
5.71125
1.94
0.25
7
6.12
6.18
6.24
5.68
5.23
5.98
6.98
5.65
6.0075
1.75
0.125
8
6.42
4.89
6.47
5.92
6.49
6.77
5.88
4.67
5.93875
2.10
0.25
9
5.88
5.92
4.69
6.25
6.16
6.37
5.12
5.11
5.6875
1.68
0.375
10
5.53
5.49
5.59
6.12
5.66
6.57
7.24
5.41
5.64
5.95125
1.83
0.5
4.03
6.11
7.41
6.31
4.74
5.29
5.76
5.66125
3.38
0.375
11
12
5.10
6.11
5.75
5.34
6.03
6.89
6.54
6.03
5.97375
1.79
0.25
13
5.19
7.47
6.83
6.41
4.92
5.88
6.13
6.43
6.1575
2.55
0.25
14
6.86
6.74
4.62
5.31
5.68
5.98
6.01
6.69
5.98625
2.24
0.25
5.68
6.08
5.20
15
5.10
5.94
5.93
5.92
6.26
6.61
5.94
1.51
0.125
16
5.66
6.43
6.55
5.77
6.76
6.74
6.17
6.16
1.56
0.125
17
6.02
7.60
6.04
5.07
4.43
5.31
6.96
6.29
5.965
3.17
0.375
18
6.15
5.58
6.15
5.67
7.61
5.50
5.98
6.89
6.19125
2.11
0.25
19
6.93
6.79
7.09
5.61
6.24
5.77
6.42
6.04
6.36125
1.48
20
5.89
7.63
7.08
6.75
7.01
6.89
5.99
7.16
6.8
1.74
Averages
6.0095625
1.968
0.24375
8
総chart
4.
* Rchart
UCL
UCL
6.
2
LCL
LCL
4
0 2 4 6 8 10 12 14 16 18 20
2 4
6
10 12
14 16 18
20
1
p chart
0.8
UCL
06
04
02
+ la
0 2 4 6 8 10 12 14 16 18 20
"Defective" products have data values that are less than 5.6.
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