Twelve​ samples, each containing five​ parts, were taken from a process that produces steel rods at Emmanual​ Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results​ were:                                                                                                                              Sample Sample Mean​ (in.) Range​ (in.) Sample Sample Mean​ (in.) Range​ (in.) 1 13.502 0.033 7 13.501 0.041 2 13.500 0.041 8 13.507 0.034 3 13.489 0.034 9 13.493 0.027 4 13.508 0.051 10 13.501 0.029 5 13.497 0.031 11 13.501 0.039 6 13.499 0.036 12 13.506 0.047 For the given​ data, the x ​= nothing inches ​(round your response to four decimal​ places). Based on the sampling​ done, the control limits for ​3-sigma x chart​ are:   Upper Control Limit ​(UCLx​) ​= nothing inches ​(round your response to four decimal​ places). Lower Control Limit ​(LCLx​) ​= nothing inches ​(round your response to four decimal​ places). Based on the x​-chart, is one or more samples beyond the control​ limits? ▼   Yes No . For the given​ data, the R ​= nothing inches ​(round your response to four decimal​ places). The control limits for the ​3-sigma ​ R-chart are: Upper Control Limit ​(UCLR​) ​= nothing inches ​(round your response to four decimal​ places). Lower Control Limit ​(LCLR​) ​= nothing inches ​(round your response to four decimal​ places). Based on the​ R-chart, is one or more samples beyond the control​ limits? ▼   No Yes

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Twelve​ samples, each containing five​ parts, were taken from a process that produces steel rods at Emmanual​ Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results​ were:
                                                                                                                            
Sample
Sample Mean​ (in.)
Range​ (in.)
Sample
Sample Mean​ (in.)
Range​ (in.)
1
13.502
0.033
7
13.501
0.041
2
13.500
0.041
8
13.507
0.034
3
13.489
0.034
9
13.493
0.027
4
13.508
0.051
10
13.501
0.029
5
13.497
0.031
11
13.501
0.039
6
13.499
0.036
12
13.506
0.047
For the given​ data, the
x
​=
nothing
inches ​(round your response to four decimal​ places).
Based on the sampling​ done,
the
control limits for ​3-sigma
x
chart​ are:
 
Upper Control Limit
​(UCLx​)
​=
nothing
inches ​(round your response to four decimal​ places).
Lower Control Limit
​(LCLx​)
​=
nothing
inches ​(round your response to four decimal​ places).
Based on the
x​-chart,
is one or more samples beyond the control​ limits?
 
Yes
No
.
For the given​ data, the
R
​=
nothing
inches ​(round your response to four decimal​ places).
The control limits for the
​3-sigma
​ R-chart are:
Upper Control Limit
​(UCLR​)
​=
nothing
inches ​(round your response to four decimal​ places).
Lower Control Limit
​(LCLR​)
​=
nothing
inches ​(round your response to four decimal​ places).
Based on the​ R-chart, is one or more samples beyond the control​ limits?
 
No
Yes
.
 
 
 
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