At Quick Car​ Wash, the wash process is advertised to take less than 8 minutes.​ Consequently, management has set a target average of 440 seconds for the wash process. Suppose the average range for a sample of 9 cars is 10 seconds. Use the accompanying table to establish control limits for sample means and ranges for the car wash process.   Factors for calculating​ three-sigma limits for the x​-chart and​ R-chart   Size of Sample​ (n) Factor for UCL and LCL for x​-chart ​(A2​) Factor for LCL for​ R-Chart ​(D3​) Factor for UCL for​ R-Chart ​(D4​) 2 1.880 0 3.267 3 1.023 0 2.575 4 0.729 0 2.282 5 0.577 0 2.115 6 0.483 0 2.004 7 0.419 0.076 1.924 8 0.373 0.136 1.864 9 0.337 0.184 1.816 10 0.308 0.223   Part 2 The UCLR equals enter your response here seconds and the LCLR equals enter your response here seconds. ​(Enter your responses rounded to two decimal​ places.)

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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At Quick Car​ Wash, the wash process is advertised to take less than
8
minutes.​ Consequently, management has set a target average of
440
seconds for the wash process. Suppose the average range for a sample of
9
cars is
10
seconds. Use the accompanying table to establish control limits for sample means and ranges for the car wash process.
 
Factors for calculating​ three-sigma limits for the
x​-chart
and​ R-chart
 
Size of Sample​ (n)
Factor for UCL and LCL for
x​-chart
​(A2​)
Factor for LCL for​ R-Chart
​(D3​)
Factor for UCL for​ R-Chart
​(D4​)
2
1.880
0
3.267
3
1.023
0
2.575
4
0.729
0
2.282
5
0.577
0
2.115
6
0.483
0
2.004
7
0.419
0.076
1.924
8
0.373
0.136
1.864
9
0.337
0.184
1.816
10
0.308
0.223
 
Part 2
The
UCLR
equals
enter your response here
seconds and the
LCLR
equals
enter your response here
seconds. ​(Enter your responses rounded to two decimal​ places.)
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