The UCLR equals and the LCLR equals

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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The Digital Guardian Company issues policies that protect clients from downtime costs due to computer system failures. It is very important to process the policies quickly because long
cycle times not only put the client at risk, they could also lose business for Digital Guardian. Management is concerned that customer service is degrading because of long cycle times,
measured in days. The table contains the data from five samples, each sample consisting of eight random observations.
E Click the icon to view the table with sample data.
A Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart.
a. What is your estimate of the process average?
The estimate of the process average is 10.43 . (Enter your response rounded to two decimal places.)
b. What is your estimate of the average range?
The estimate of the average range is 11.6. (Enter your response rounded to two decimal places.)
c. Construct an R- and an x-chart for this process.
Set up the R-chart by specifying the three-sigma control limits below.
The UCLR equals and the LCLR equals
(Enter your responses rounded to two decimal places.)
Transcribed Image Text:The Digital Guardian Company issues policies that protect clients from downtime costs due to computer system failures. It is very important to process the policies quickly because long cycle times not only put the client at risk, they could also lose business for Digital Guardian. Management is concerned that customer service is degrading because of long cycle times, measured in days. The table contains the data from five samples, each sample consisting of eight random observations. E Click the icon to view the table with sample data. A Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. a. What is your estimate of the process average? The estimate of the process average is 10.43 . (Enter your response rounded to two decimal places.) b. What is your estimate of the average range? The estimate of the average range is 11.6. (Enter your response rounded to two decimal places.) c. Construct an R- and an x-chart for this process. Set up the R-chart by specifying the three-sigma control limits below. The UCLR equals and the LCLR equals (Enter your responses rounded to two decimal places.)
More info
m 8
er system failures.
Jent is concerned t
fom observations.
Observation (days)
Sample
1
3
4 5
6.
7
8.
1
8
11
20
11
8
12
14
12
12
3
11
8.
12
8.
12
6.
6.
13
5
12
8
hart.
21
4
8.
17
15
8.
6.
7
10
8.
10
10
14
19
15
- X
More info
Factors for calculating three-sigma limits for the x-chart and R-chart.
Size of Sample Factor for UCL and LCL
(n)
Factor for LCL for
R-Chart (D3)
Factor for UCL for
for x-chart (A2)
R-Chart (D4)
2
1.880
3.267
3
1.023
2.575
4
0.729
2.282
5
0.577
2.115
0.483
2.004
0.076
0.136
7
0.419
1.924
8
0.373
1.864
9
0.337
0.184
1.816
10
0.308
0.223
1.777
Print
Done
to
-23 45
Transcribed Image Text:More info m 8 er system failures. Jent is concerned t fom observations. Observation (days) Sample 1 3 4 5 6. 7 8. 1 8 11 20 11 8 12 14 12 12 3 11 8. 12 8. 12 6. 6. 13 5 12 8 hart. 21 4 8. 17 15 8. 6. 7 10 8. 10 10 14 19 15 - X More info Factors for calculating three-sigma limits for the x-chart and R-chart. Size of Sample Factor for UCL and LCL (n) Factor for LCL for R-Chart (D3) Factor for UCL for for x-chart (A2) R-Chart (D4) 2 1.880 3.267 3 1.023 2.575 4 0.729 2.282 5 0.577 2.115 0.483 2.004 0.076 0.136 7 0.419 1.924 8 0.373 1.864 9 0.337 0.184 1.816 10 0.308 0.223 1.777 Print Done to -23 45
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