Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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The data in Table 7E.3 give the number of nonconforming bearing and seal assemblies in samples of size 100. Construct a fraction nonconforming control chart for these data. If any points plot out of control, assume that assignable causes can be found and determine the revised control limits. n=100;" " m=20;" " ∑_(i=1)^m▒D_i =117;" " p ̄=(∑_(i=1)^m▒D_i )/mn "UC" "L" _p=p ̄+3√((p ̄(1-p ̄))/n) "LC" "L" _p=p ̄-3√((p ̄(1-p ̄))/n) Draw x-bar control chart and R chart Remove the data that are not in control and recalculate UCL, CL, LCL and redraw control chart.
Table 7E.3 Data for Exercise 7.7
Number of
Sample
Nonconforming
Sample
Number of
Nonconforming
Number
Assemblies
Number
Assemblies
1
7
11
6
2
4
12
15
3
1
13
0
4
3
14
9
5
6
15
6
8
16
7
10
17
8
9
10
10
527
18
6145
5
19
7
20
12
m
D; = 117; p =
n = 100; m = 20; Σ D₁ =
i=1
ΣΤΟ
mn
p(1 − p)
UCL₂ = p +3
LCL₂ = p-3
n
|p(1 − p)
n
expand button
Transcribed Image Text:Table 7E.3 Data for Exercise 7.7 Number of Sample Nonconforming Sample Number of Nonconforming Number Assemblies Number Assemblies 1 7 11 6 2 4 12 15 3 1 13 0 4 3 14 9 5 6 15 6 8 16 7 10 17 8 9 10 10 527 18 6145 5 19 7 20 12 m D; = 117; p = n = 100; m = 20; Σ D₁ = i=1 ΣΤΟ mn p(1 − p) UCL₂ = p +3 LCL₂ = p-3 n |p(1 − p) n
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