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Management Chapter 8 This spreadsheet was modified to calculate the control
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May 31, 2023
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Cha
pter 8
Moreli
a Mortgage Co
. – Addi
tion
al sa
mples
added
This sprea
dshee
t is desig
ned
for up to 50 sample
s, each o
f a constant sampl
e size
from 2 to 10.
Enter da
ta ONLY in ye
llow-shad
ed ce
lls
.
Enter the number o
f samples in cell
E6 and the sa
mple siz
e in ce
ll E7. Then ente
r your d
ata in the g
rid be
low.
Click on shee
t tabs for a d
isplay
of the control cha
rts. Specificatio
n limits may b
e ente
red in cell
s N7 and N8 for proce
ss capa
bility
.
NOTE: Thi
s sprea
dshee
t wa
s modi
fie
d to ca
lcula
te
the co
ntrol
limi
ts and ce
nte
rline
ba
sed
on o
nly
the first 28 sa
mple
s. Addi
tion
al
data
wa
s then a
dde
d.
Numb
er of sample
s (<= 50)
28
Process
Capabi
lity Cal
cul
ation
s
Six si
gma
21.02
5
Upper spe
cific
ation
Lower specific
ation
Grand
Av
erage
A2
D3 D4
d2
A
verage Ra
ng
e
0.58
0
2.11
2.33
DA
TA
123456789
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
6
7
8
9
10
Average
16.32 14.74 14.22 16.17 15.86 14.36 14.68
16.3 16.67 17.47 15.82 15.06 12.76 18.57
17.1 17.44
13
17.06 14.28 16.52 13.67 15.37 15.23 12.12 14.06 17.18 17.41 15.47
#N/A
#N/A
14.69 14.63 16.74 14.88 16.84 15.63 14.94 16.48 15.23 14.68 16.52 13.74 15.42 16.78 15.46 21.21 14.57 16.47 14.52 14.34
LCLx-bar
10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.
83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83 10.83
Center
15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.
53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53 15.53
Center
8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.
147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147 8.147
DO NO
T MO
DIFY TH
IS TA
B
LE
n
A2
D3 D4
d2
A3
B3 B4
2
1.88
0
3.27 1.13 2.66
0
3.27
3
1.02
0
2.57 1.69 1.95
0
2.57
4
0.73
0
2.28 2.06 1.63
0
2.27
5
0.58
0
2.11 2.33 1.43
0
2.09
6
0.48
0
2
2.53 1.29 0.03 1.97
7
0.42 0.08 1.92
2.7
1.18 0.12 1.88
8
0.37 0.14 1.86 2
.85
1.1
0
.19 1.82
9
0.34 0.18 1.82 2
.97 1.03 0.24 1
.76
Control
Cha
rt Factors
X-bar an
d R-Cha
rt
Sample
size (2 – 10)
15.532
8.147
Cp
Cpu
Cpl
Cpk
18
20
22
Sample number
X-bar Chart
Averages
Lower control li
mit
Upper control limit
Cen
ter line
0
14
16
18
20
1 3 5 7 9
11 13 15 17
19
21 23
25
27 29
31
33 35
37
39 41
43
45
47
49
Sample number
R-Chart
Ranges
Lower control li
mit
Upper control li
mit
Center lin
e