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May 31, 2023
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Prob. 8-29
Hawkeye Magne
tronic
s
This sprea
dshee
t is desig
ned for up to 50 sa
mples, ea
ch of a constant sa
mple size
from 2 to 10.
Enter da
ta ONLY in ye
llow-shade
d cells
.
Enter the number o
f samples in cell E
6 and the sa
mple size
in cell E7. The
n enter yo
ur data in the
grid be
low.
Click on shee
t tabs for a disp
lay
of the control charts. Sp
ecification limits may
be e
ntered in ce
lls N7 and N8 for proce
ss capa
bility.
Numb
er of samples
(<= 50)
30
Process
Capabi
lity Calc
ula
tions
Six si
gma
0.16
3
Upper spe
cifica
tion
Lower specific
ation
Grand
Av
erage
A2
D3 D4
A
verage Ra
nge
1.02
0
2.57
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
1
0.39 0.38 0.33 0
.36 0.43 0.37 0.34 0
.34 0.44 0.37 0.4
2 0.35 0.39 0.33 0.3
7 0.36 0.39 0.36 0
.41 0.35
0.4 0.35 0.35 0.3
8 0.42 0.41
0.4 0.35 0.37 0
.33
7
8
9
10
Average
0.377
0.377
0.377
0.377
0.387
0.36
7
0.36
0.343
0.41
0.35
7
0.397
0.373
0.39
0.36
0.363
0.38
0.37
7
0.383
0.41
0.37
0.38
0.36
0.39
3
0.397
0.4
0.413
0.377
0.363
0.35
0.36
#N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #
N/A #N/A #N/A #N/A #N/A #N/A
DO NO
T MOD
IFY THI
S TA
BLE
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
Cp
Cpu
Cpl
Cpk
Control
Chart Fac
tors
X-bar an
d R-Chart
Sample
size (2 – 10)
0.378
0.046
2
0.39
0.4 0.39 0.37 0.37
0.4 0
.38 0.33 0.37 0.31 0
.38 0.39 0.38 0.36 0
.37 0.37 0.35 0.41
0.4 0.3
9 0.37 0.38 0.42 0
.42 0.39
0.4 0.35 0.36 0.35
0.4
3
0.35 0.35 0.41
0.4 0.36 0
.33 0.36 0.36 0.4
2 0.39 0.39 0.38
0.4 0.39 0
.35 0.41 0.39 0.38 0
.42 0.37 0.37 0.3
5 0.41 0.39 0.39 0
.43 0.38 0.38 0.33 0
.35
4
5
6
0.4
0.42
0.44
Sample number
Prob. 8-29 X-bar
Chart
Averages
Lower control limit
Upper control limit
Center line
0
0.14
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
Prob 8-29 R-Chart
Ranges
Lower control limit
Upper control limit
Center line