A Company That Manufactures Arrows for Sale in Archery Stores

question 41

Essay

A company that manufactures arrows for sale in archery stores is developing a new arrow with enhanced flight characteristics.From customer surveys the company has determined that the diameter of the arrow should be between 10.0 and 10.6 mm.They want to ensure the process they develop to produce the arrows will meet customer expectations; that is, the process capability index (C_p) will be greater than or equal to 1.00.
a.What value of the standard deviation of the process will yield a C_p equal to 1.00?
b.If the standard deviation of the process is actually .05, what would the diameter variation (UTL - LTL) of the arrow have to be to get a C_p of 1.00?

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Definitions:

Standard Line

A reference point used in experiments, commonly in vision testing, against which comparisons are made or judgments are based.

Solomon Asch's Study

A psychological experiment that demonstrated the power of conformity in groups.

Exhibit Conformity

The act of matching attitudes, beliefs, and behaviors to group norms or societal standards.

Psychology Experiment

A research method in psychology that tests hypotheses by manipulating and controlling variables.