At Quick Car​ Wash, the wash process is advertised to take less than 7 minutes.​ Consequently, management has set a target average of 390 seconds for the wash process. Suppose the average range for a sample of 9 cars is 8 seconds. Use the accompanying table to establish control limits for sample means and ranges for the car wash process.   LOADING... Click the icon to view the table of factors for calculating​ three-sigma limits for the x overbarx​-chart and​ R-chart.   Factors for calculating​ three-sigma limits for the x overbarx​-chart and​ R-chart   Size of Sample​ (n) Factor for UCL and LCL for x overbarx​-chart ​(Upper A 2A2​) Factor for LCL for​ R-Chart ​(Upper D 3D3​) Factor for UCL for​ R-Chart ​(Upper D 4D4​) 2 1.8801.880 00 3.2673.267 3 1.0231.023 00 2.5752.575 4 0.7290.729 00 2.2822.282 5 0.5770.577 00 2.1152.115 6 0.4830.483 00 2.0042.004 7 0.4190.419 0.0760.076 1.9241.924 8 0.3730.373 0.1360.136 1.8641.864 9 0.3370.337 0.1840.184 1.8161.816 10 0.3080.308 0.2230.223 1.7771.777 Part 2 The UCL Subscript Upper RUCLR equals   seconds and the LCL Subscript Upper RLCLR equals   seconds. ​(Enter your responses rounded to two decimal​ places.)   The UCL Subscript Upper RUCLR equals 14.53 seconds and the LCL Subscript Upper RLCLR equals 1.47 seconds. ​(Enter your responses rounded to two decimal​ places.) Part 3 The UCL Subscript x overbarUCLx equals enter your response here seconds and the LCL Subscript x overbarLCLx equals enter your response here seconds. ​(Enter your responses rounded to two decimal​ places.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
At Quick Car​ Wash, the wash process is advertised to take less than
7
minutes.​ Consequently, management has set a target average of
390
seconds for the wash process. Suppose the average range for a sample of
9
cars is
8
seconds. Use the accompanying table to establish control limits for sample means and ranges for the car wash process.
 
LOADING...
Click the icon to view the table of factors for calculating​ three-sigma limits for the
x overbarx​-chart
and​ R-chart.
 
Factors for calculating​ three-sigma limits for the
x overbarx​-chart
and​ R-chart
 
Size of Sample​ (n)
Factor for UCL and LCL for
x overbarx​-chart
​(Upper A 2A2​)
Factor for LCL for​ R-Chart
​(Upper D 3D3​)
Factor for UCL for​ R-Chart
​(Upper D 4D4​)
2
1.8801.880
00
3.2673.267
3
1.0231.023
00
2.5752.575
4
0.7290.729
00
2.2822.282
5
0.5770.577
00
2.1152.115
6
0.4830.483
00
2.0042.004
7
0.4190.419
0.0760.076
1.9241.924
8
0.3730.373
0.1360.136
1.8641.864
9
0.3370.337
0.1840.184
1.8161.816
10
0.3080.308
0.2230.223
1.7771.777
Part 2
The
UCL Subscript Upper RUCLR
equals
 
seconds and the
LCL Subscript Upper RLCLR
equals
 
seconds. ​(Enter your responses rounded to two decimal​ places.)
 
The
UCL Subscript Upper RUCLR
equals
14.53
seconds and the
LCL Subscript Upper RLCLR
equals
1.47
seconds. ​(Enter your responses rounded to two decimal​ places.)
Part 3
The
UCL Subscript x overbarUCLx
equals
enter your response here
seconds and the
LCL Subscript x overbarLCLx
equals
enter your response here
seconds. ​(Enter your responses rounded to two decimal​ places.)
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