Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Question
Sampling
4
pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results:
Hour
|
x
|
R
|
Hour
|
x
|
R
|
Hour
|
x
|
R
|
Hour
|
x
|
R
|
1
|
3.15"
|
0.71"
|
7
|
3.15"
|
0.58"
|
13
|
3.21"
|
0.80"
|
19
|
3.31"
|
1.61"
|
2
|
3.20
|
1.23
|
8
|
2.75
|
1.18
|
14
|
2.83
|
1.31
|
20
|
2.79
|
1.09
|
3
|
3.12
|
1.38
|
9
|
3.02
|
0.71
|
15
|
3.02
|
1.01
|
21
|
2.65
|
1.13
|
4
|
3.39
|
1.31
|
10
|
2.75
|
1.38
|
16
|
2.94
|
0.50
|
22
|
3.38
|
0.51
|
5
|
3.07
|
1.17
|
11
|
2.93
|
1.22
|
17
|
2.86
|
1.43
|
23
|
2.94
|
1.63
|
6
|
2.76
|
0.37
|
12
|
2.87
|
0.40
|
18
|
2.64
|
1.29
|
24
|
2.64
|
0.92
|
Based on the sampling done,
the
control limits for 3-sigma
x
chart are (round all intermediate calculations to three decimal places before proceeding with further
calculations):
Part 2
Upper Control Limit
(UCLx)
=
enter your response here
inches (round your response to three decimals)Part 3
Lower Control Limit
inches (round your response to three decimal places).
(LCLx)
=inches (round your response to three decimal places).
Part 4
Based on the
.
x-chart,
the wire cutting process has been
Part 5
The control limits for the
3-sigma
R-chart are (round all intermediate calculations to three decimal places before proceeding with further
calculations):
Part 6
Upper Control Limit
inches (round your response to three decimal places).
(UCLR)
=inches (round your response to three decimal places).
Part 7
Lower Control Limit
inches (round your response to three decimal places).
(LCLR)
=inches (round your response to three decimal places).
Part 8
Based on the R-chart, the wire cutting process has been
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- A manager wishes to build a control chart for a process. A total of five (05) samples are collected with five (05) observations within each sample. The sample means (X-bar) are; 15.36, 14.61. 16.36, 20.28, and 15.77 respectively. Also, the corresponding ranges are; 10.79,8.37,4.81, 8.17, and 3.31 respectively. The lower and upper control limits of the x-bar chart are ,respectively O a. 16.55, 11.47 Ob. 12.40, 19.72 Oc. 12.36, 20.59 Od. 18.55, 13.47 De. None is correctarrow_forwardplease answer S6.6 S6.7arrow_forwardA manager wishes to build a 3-sigma range chart for a process. The sample size is five, the mean of sample means is 45.00, and the average range is 7.90. From Table S6.1, the appropriate value of D3 is 0, and D4 is 2.115. What are the UCL and LCL, respectively, for this range chart? (Do not round intermediate calculations. Round final answer to two decimal places.) OA. 12.05 and 0.00 OB. 10.02 and 5.79 O C. 16.71 and 0.00 O D. 68.70 and 21.30 OE. 52.90 and 37.10arrow_forward
- help please answer in text form with proper workings and explanation for each and every part and steps with concept and introduction no AI no copy paste remember answer must be in proper format with all workingarrow_forward(1) Rewrite each of the following measurements using the rounding rules listed in the Lab Standards Manual in the box below each measurement. Use Insert → Equation to format the equation and the t sign properly. a) d = 9.549 +0.0017 mb) d = 9.549 ± 0.01 m c) d = 9.549 ± 0.012 m Rounded:arrow_forwardSample size (n) is 9, average of the sample ranges (R¯)is 4. Calculate the UCL and LCL of the range chart for this process. n A2 D3 D4 2 1.880 0.000 3.267 3 1.023 0.000 2.575 4 0.729 0.000 2.282 5 0.577 0.000 2.114 6 0.483 0.000 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 1.777 UCL = 3.82, LCL = 2.18 Cannot be calculated UCL=7.26, LCL=0.74 UCL = 2.18, LCL = 3.82 UCL=0.74, LCL=7.26arrow_forward
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