b) Determine the trial central line and control limits for the X and S UCLX = CLx= LCLX = UCLS CLs = LCLS= =

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1. The net weight (in oz.) of a dry bleach product is to be monitored by X and R and X
and S control charts using a sample size of n = 5. Data for 20 preliminary samples
are shown below.
Subgroup
Number
1
2
3
4
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
X₁ X₂
X3
X4 X5
16.5 16.6 16.4 16.3
16.6
16.6 16.8 16.9 16.6
16.5
16.8
16.2 16.6 16.4
16.6
16.9
16.8 16.9 16.9
16.7
16.4
16.7 17.0
16.4
19.2
16.9 16.7
17.5 16.8
16.5
16.8
17.3
16.8 16.5 16.9
17.2
16.9 16.9 17.2
16.3
16.6
16.8 17.1 16.9
16.5
16.8
16.6
16.4 16.7
16.6
16.8 16.7 16.9 16.6
16.4
16.9 17.6
16.9
16.8
16.5
17.4 16.5 16.6 16.4
16.1
16.5 16.5 16.4
16.8
16.4
17.6
16.9
17.3 16.9 16.8
16.6 17.2 16.8
16.8
16.9
16.0 16.8 16.9 16.7 16.2
16.9 16.8
16.5 16.8 17.2
17.8 16.7 16.6 16.9 16.3
17.5 16.5 16.9 16.7 17.0
For X and S.
UCLX = X + A₂S
Σ=1 Χ
g
LCL¸ = X – A₂S
UCLS = BAS
CL = X :
=
CLS = 5
LCLS = B3S
=
Σ=1Si
9
Transcribed Image Text:1. The net weight (in oz.) of a dry bleach product is to be monitored by X and R and X and S control charts using a sample size of n = 5. Data for 20 preliminary samples are shown below. Subgroup Number 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 X₁ X₂ X3 X4 X5 16.5 16.6 16.4 16.3 16.6 16.6 16.8 16.9 16.6 16.5 16.8 16.2 16.6 16.4 16.6 16.9 16.8 16.9 16.9 16.7 16.4 16.7 17.0 16.4 19.2 16.9 16.7 17.5 16.8 16.5 16.8 17.3 16.8 16.5 16.9 17.2 16.9 16.9 17.2 16.3 16.6 16.8 17.1 16.9 16.5 16.8 16.6 16.4 16.7 16.6 16.8 16.7 16.9 16.6 16.4 16.9 17.6 16.9 16.8 16.5 17.4 16.5 16.6 16.4 16.1 16.5 16.5 16.4 16.8 16.4 17.6 16.9 17.3 16.9 16.8 16.6 17.2 16.8 16.8 16.9 16.0 16.8 16.9 16.7 16.2 16.9 16.8 16.5 16.8 17.2 17.8 16.7 16.6 16.9 16.3 17.5 16.5 16.9 16.7 17.0 For X and S. UCLX = X + A₂S Σ=1 Χ g LCL¸ = X – A₂S UCLS = BAS CL = X : = CLS = 5 LCLS = B3S = Σ=1Si 9
b) Determine the trial central line and control limits for the X and S
UCLX
=
CLX
LCLX =
UCLS =
CLS =
LCLS
=
=
Transcribed Image Text:b) Determine the trial central line and control limits for the X and S UCLX = CLX LCLX = UCLS = CLS = LCLS = =
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