a) What is the value of x? mm (round your response to two decimal places). b) What is the value of R? Re mm (round your response to two decimal places). c) What are the UCL; and LCL; using 3-sigma? Upper Control Limit (UCL;)mm (round your response to two decimal places) Lower Control Limit (LCL;) mm (round your response to two decimal places). d) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCL)mm (round your response to two decimal places) Lower Control Limit (LCL) mm (round your response to two decimal places)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Refer to Table 56.1-Factors for Computing Control Chart Limits.(3.sigma) for this problem.
Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced
each day, the mean and the range of this diameter have been as follows:
a) What is the value of x?
mm (round your response to two decimal places).
b) What is the value of R?
R=mm (round your response to two decimal places).
c) What are the UCL, and LCL; using 3-sigma?
Day
1
2
3
4
5
Upper Control Limit (UCL;)mm (round your response to two decimal places)
Lower Control Limit (LCL;)mm (round your response to two decimal places).
d) What are the UCL and LCL using 3-sigma?
Upper Control Limit (UCLR)-mm (round your response to two decimal places).
Lower Control Limit (LCL)-mm (round your response to two decimal places)
Mean x
(mm)
154.9
151.2
155.6
155.5
154.6
Range R
(mm)
4.4
4.8
4.3
5.0
4.7
Next
Transcribed Image Text:Refer to Table 56.1-Factors for Computing Control Chart Limits.(3.sigma) for this problem. Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of x? mm (round your response to two decimal places). b) What is the value of R? R=mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Day 1 2 3 4 5 Upper Control Limit (UCL;)mm (round your response to two decimal places) Lower Control Limit (LCL;)mm (round your response to two decimal places). d) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCLR)-mm (round your response to two decimal places). Lower Control Limit (LCL)-mm (round your response to two decimal places) Mean x (mm) 154.9 151.2 155.6 155.5 154.6 Range R (mm) 4.4 4.8 4.3 5.0 4.7 Next
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