Refer to the r (x-bar) chart in Section 8.2 Exercise 6 of the text. According to this 2 (x-bar) chart, is the process within statistical control? If not, provide a reason why not. a. It does not appear to be within b. It appears to be within statistical statistical control because at least control. one point is more extreme than the UCL or LCL. c. 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.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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Question

Refer to the (x-bar) chart in Section 8.2 Exercise 6 of the text.

According to this (x-bar) 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.
Refer to the i (x-bar) chart in Section 8.2 Exercise 6 of the text.
According to this (x-bar) 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
a.
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:Refer to the i (x-bar) chart in Section 8.2 Exercise 6 of the text. According to this (x-bar) 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 a. 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.
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.
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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