The Peowver of Statistical Thinking TABLE 5.6 Fill Weight for Containers Selecte
ID: 3041719 • Letter: T
Question
The Peowver of Statistical Thinking TABLE 5.6 Fill Weight for Containers Selected Ttvice Control Charts for Attributes Data: Variability and Location Shift Net Contents Day 126.10 125.30 126.4 .50 126.40126401259 06 130.95 127.25 125.80 126.65 129.50 125.35 123.85 126.95 UCL 4.165 127.1 126.0 126.35 125.65 126.8 03 124.85 128.05 1290 0 128.20 125,15 1279 20 126.65 Avg 1.275 130.00 128.00 129.0 127.75 5 10 15 20 25 30 35 03 03 1.7 128.00 12845 128,35 128,1 128.55 127.5 128.5 127.30 127.75 125.90 128.00 128.65 126.60 124.95 128.05 131.05 123.70 127.65 126.90 128.40 128.55 126.60 125.05 127.95 126.75 128.15 126.65 127.90 123.55 128.60 124.90 127.70 125.5 36 0.1 126.4 10 128.2 0.4 128.6 126.6 Avg 126.894 0.1 01 128.0 128.9 127.85 127.95 127.10 129.65 128.20 128.0 03 127.3 13 127.5as 126.6 61 5 10 15 20 25 30 35 FIGURE 5.12 Range and X-bar Charts of Soap Weights for Two Containers Randomly Selected Twice Each Shift 128.4 because containers were selected consecutively, the opportunity to observe hour-to-hour changes in the first shift does not exist. Another possibility is who weigh the containers from the second shift are more erratic in ? Is the material used by shift 1 consistent with respect to those properties, such as density, that affect fill volume? Is the material used by shift 2 consistent over that used by shift 2? 125.1 04 127.6 02 127.50 125.50126.90 1262 r practices. Consider also these additional questions about the data: " What is known about the consistency of the fill material across time 4060.6 408 time? How does the material used by shift 1 compare toExplanation / Answer
Since data is available head-wise and shift-wise analysis is also performed like-wise.
Back-up Theory
For Xbar Chart:
Central Line CL: XDoublebar
Lower Control Limit LCL: XDoublebar – A2.Rbar
Upper Control Limit UCL: XDoublebar + A2.Rbar
For R Chart:
Central Line CL: Rbar
Lower Control Limit LCL:D3.Rbar
Upper Control Limit UCL: D4.Rbar
Control Limits – Head-wise and Shift-wise
A2
1.88
D3
0
D4
3.267
Head1
Head2
Head3
Head4
Shift 1
Shift 2
Shift 1
Shift 2
Shift 1
Shift 2
Shift 1
Shift 2
Xbar Chart
CL
6.44
6.42
5.52
5.66
6.58
6.52
5.74
5.42
LCL
5.9136
6.1944
4.9184
4.72
5.5272
5.8808
5.1008
4.7056
UCL
6.9664
6.6456
6.1216
6.6
7.6328
7.1592
6.3792
6.1344
RChart
CL
0.28
0.12
0.32
0.5
0.56
0.34
0.34
0.38
LCL
0
0
0
0
0
0
0
0
UCL
0.91476
0.39204
1.04544
1.6335
1.82952
1.11078
1.11078
1.24146
All xbars and Rbars for both shifts and all four heads are all within limits.
DONE
A2
1.88
D3
0
D4
3.267
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