3 4 6 7 3 9 0 1 2 3 4 5 3.29 2.95 3.15 2.81 2.99 3.01 2.97 3.04 2.92 3.08 3.08 2.94 2.98 2.93 3.09 3.14 2.98 3.00 3.08 3.20 3.18 2.91 2.80 2.90 2.87 3.12 3.06 2.85 3.06 3.04 3.06 2.81 2.92 2.88 3.03 2.75 3.07 3.06 2.92 3.11 3.11 3.12 2.84 3.05 0.70 2.94 3.04 3.23 3.03 2.78 3.09 3.08 3.10 2.83 2.97 2.96 3.03 2.91 2.83 216

MATLAB: An Introduction with Applications
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16.3.3Glass Sheet Thicknesses Control charts are to be used to monitor the thicknesses of glass sheets. DS
16.3.3 contains the thicknesses in mm of random samples of n = 4 glass sheets collected at k = 24
different times.
Control charts are to be used to monitor the thicknesses of glass sheets. DS 16.3.3 contains the
thicknesses in mm of random samples of n = 4 glass sheets collected at k = 24 different times.
(a) What X-chart and R-chart would you recommend be used?
(b) What conclusion would you draw if in the future a sample x₁ = 3.12, x₂ = 2.96, x3 = 2.91, and x₂ = 2.88
is obtained?
Transcribed Image Text:16.3.3Glass Sheet Thicknesses Control charts are to be used to monitor the thicknesses of glass sheets. DS 16.3.3 contains the thicknesses in mm of random samples of n = 4 glass sheets collected at k = 24 different times. Control charts are to be used to monitor the thicknesses of glass sheets. DS 16.3.3 contains the thicknesses in mm of random samples of n = 4 glass sheets collected at k = 24 different times. (a) What X-chart and R-chart would you recommend be used? (b) What conclusion would you draw if in the future a sample x₁ = 3.12, x₂ = 2.96, x3 = 2.91, and x₂ = 2.88 is obtained?
A1
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X✓ fx Sample
A
B
C
Sample Thickness
Thickness 2
234567890
10
12
13
14
15
16
17
622722
18
19
20
21
23
24
3.29
2.95
3.15
2.81
2.99
3.01
2.97
3.04
2.92
3.08
3.08
2.94
2.98
2.93
3.09
2.95
3.09
3.01
2.92
3.08
2.99
2.98
3.16
2.78
3.14
2.98
3.00
3.08
3.20
3.18
2.91
2.80
2.90
2.87
3.12
3.06
2.85
3.06
3.04
2.76
3.00
3.05
3.05
2.89
3.19
2.91
2.98
2.92
D
Thickness 3
2.99
3.06
2.81
2.92
2.88
3.03
2.75
3.07
3.06
2.92
3.11
3.11
3.12
2.84
3.05
2.78
2.93
3.20
3.11
2.86
2.72
2.97
2.97
2.94
Thickness 4
3.00
2.94
3.04
3.23
3.03
2.78
3.09
3.08
3.10
2.83
2.97
2.96
3.03
2.91
2.83
3.16
2.92
3.18
2.95
3.10
2.98
2.94
2.90
3.09
F
G
Transcribed Image Text:A1 123456700 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 30 X✓ fx Sample A B C Sample Thickness Thickness 2 234567890 10 12 13 14 15 16 17 622722 18 19 20 21 23 24 3.29 2.95 3.15 2.81 2.99 3.01 2.97 3.04 2.92 3.08 3.08 2.94 2.98 2.93 3.09 2.95 3.09 3.01 2.92 3.08 2.99 2.98 3.16 2.78 3.14 2.98 3.00 3.08 3.20 3.18 2.91 2.80 2.90 2.87 3.12 3.06 2.85 3.06 3.04 2.76 3.00 3.05 3.05 2.89 3.19 2.91 2.98 2.92 D Thickness 3 2.99 3.06 2.81 2.92 2.88 3.03 2.75 3.07 3.06 2.92 3.11 3.11 3.12 2.84 3.05 2.78 2.93 3.20 3.11 2.86 2.72 2.97 2.97 2.94 Thickness 4 3.00 2.94 3.04 3.23 3.03 2.78 3.09 3.08 3.10 2.83 2.97 2.96 3.03 2.91 2.83 3.16 2.92 3.18 2.95 3.10 2.98 2.94 2.90 3.09 F G
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