Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottle neck, a critical quality dimension that deter- mines whether the bottle cap will fit properly. The dimensions (in.) from the last six samples are Questions : Assume that only these six samples are sufficient, and use the data to determine control limits for an R- and an x-chart. Suppose that the specification for the bottle neck di- ameter is 0.600 { 0.050 and the population standard deviation is 0.013 in. What is the Process Capability Index? The Process Capability Ratio? If the firm is seeking four-sigma performance, is the process capable of producing the bottle?
Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottle neck, a critical quality dimension that deter- mines whether the bottle cap will fit properly. The dimensions (in.) from the last six samples are Questions : Assume that only these six samples are sufficient, and use the data to determine control limits for an R- and an x-chart. Suppose that the specification for the bottle neck di- ameter is 0.600 { 0.050 and the population standard deviation is 0.013 in. What is the Process Capability Index? The Process Capability Ratio? If the firm is seeking four-sigma performance, is the process capable of producing the bottle?
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
Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter
of the bottle neck, a critical quality dimension that deter- mines whether the bottle cap will fit properly. The dimensions (in.) from the last six samples are
Questions :
-
Assume that only these six samples are sufficient, and use the data to determine control limits for an R- and an x-chart.
-
Suppose that the specification for the bottle neck di- ameter is 0.600 { 0.050 and the population standard deviation is 0.013 in. What is the Process Capability Index? The Process Capability Ratio?
-
If the firm is seeking four-sigma performance, is the process capable of producing the bottle?
Transcribed Image Text:ВОTTLE
Sample
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0.594
0.622
0.598
0.590
0.587
0.611
0.597
0.613
0.571
0.580
0.595
0.602
4
0.610
0.615
0.585
0.578
0.580
0.624
0.618
0.614
6
0.585
0.593
0.607
0.569
2.
3.
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