A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question

Steele Industries has decided to use an R-Chart to monitor the changes in the variability of their 86.00 pound metal shafts. The production manager randomly samples 7 metal shafts and measures the weight of the sample (in pounds) at 18

successive time periods.

Table

Control Chart

 

 

Step 1 of 7 : 

What is the Center Line of the control chart? Round your answer to three decimal places.

What is the UCL?

What is the LCL?

 

Period
obs1
obs2 obs3 obs4
obs5
obs6
obs7 Sample Range
1
86.03 85.98 86.05
86.03 85.97 85.96 86.03 0.09
86.05 86.05 86.01
86.05 86.00 85.98 86.00 0.07
3
86.01 86.04
86.04 85.97 85.99
86.00 86.01 0.07
4
85.96 85.99 86.00
85.96 86.05 86.00 86.03 0.09
86.03 85.99 86.02
85.96 85.96 86.04 86.00 0.08
6.
85.96 86.03 85.96
85.97 85.98 86.02 86.05 0.09
7
86.05 86.04 86.05
85.99 85.96 85.98
86.02 0.09
8
85.99 86.03
85.95 86.04 85.97 86.01 0.09
9
85.97 85.98 85.97
85.99 85.97 85.97 85.95 0.04
10
85.98 85.98 85.96
85.99 86.01 86.04 86.02 0.08
11
85.97 86.03
85.98 85.96 85.97 85.96
85.98 0.07
12
86.01 85.97 85.96
86.01
86.02 85.99 85.95 0.07
13
85.99 86.04
86.03 86.01
86.04 85.98 85.98 0.06
14
86.04 85.97 86.00
86.00 85.96 86.02 86.03 0.08
15
85.97 85.98 86.01
85.96 85.96 86.04 85.96 0.08
16
86.01 85.96 85.97
85.97 85.97 85.96 86.04 0.08
17
86.05 86.02 86.02
85.99 86.03 85.97 85.99 0.08
18
85.95 86.00 86.02
86.00 85.99 86.03 85.99 0.08
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Transcribed Image Text:Period obs1 obs2 obs3 obs4 obs5 obs6 obs7 Sample Range 1 86.03 85.98 86.05 86.03 85.97 85.96 86.03 0.09 86.05 86.05 86.01 86.05 86.00 85.98 86.00 0.07 3 86.01 86.04 86.04 85.97 85.99 86.00 86.01 0.07 4 85.96 85.99 86.00 85.96 86.05 86.00 86.03 0.09 86.03 85.99 86.02 85.96 85.96 86.04 86.00 0.08 6. 85.96 86.03 85.96 85.97 85.98 86.02 86.05 0.09 7 86.05 86.04 86.05 85.99 85.96 85.98 86.02 0.09 8 85.99 86.03 85.95 86.04 85.97 86.01 0.09 9 85.97 85.98 85.97 85.99 85.97 85.97 85.95 0.04 10 85.98 85.98 85.96 85.99 86.01 86.04 86.02 0.08 11 85.97 86.03 85.98 85.96 85.97 85.96 85.98 0.07 12 86.01 85.97 85.96 86.01 86.02 85.99 85.95 0.07 13 85.99 86.04 86.03 86.01 86.04 85.98 85.98 0.06 14 86.04 85.97 86.00 86.00 85.96 86.02 86.03 0.08 15 85.97 85.98 86.01 85.96 85.96 86.04 85.96 0.08 16 86.01 85.96 85.97 85.97 85.97 85.96 86.04 0.08 17 86.05 86.02 86.02 85.99 86.03 85.97 85.99 0.08 18 85.95 86.00 86.02 86.00 85.99 86.03 85.99 0.08
R-Chart
0.20
0.16
0.12
0.08
0.04
10
15
Sample Number
Sample Range
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Transcribed Image Text:R-Chart 0.20 0.16 0.12 0.08 0.04 10 15 Sample Number Sample Range
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