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:

Communicate

The act of conveying information, feelings, or thoughts from one individual or group to another through various means, including verbal, non-verbal, or written channels.

Corpus Callosum

A thick band of nerve fibers that divides the cerebral cortex lobes into left and right hemispheres, facilitating communication between the two halves.

Cerebral Cortex

The outer layer of nerve tissue of the cerebrum in the brain, playing a key role in memory, attention, perception, cognition, awareness, thought, language, and consciousness.

Neurons

Nervous system cells responsible for conveying information to other neurons, muscles, or glands.