A New Machine Is Set or Calibrated to Fill Tubes

question 26

Multiple Choice

A new machine is set or calibrated to fill tubes of toothpaste at precisely 6.75 ounces. Then, once the machine is running, a sample of six tubes is taken every three hours and weighed with the following results: What is the value for the lower control limit (LCL) of the range?

• A) 0.00
• B) 0.080
• C) 0.186
• D) 0.203

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Definitions:

Poisson Distributions

A statistical distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant rate and independently of the time since the last event.

Arrivals PER Unit

A measure in queue theory or operations research indicating the rate at which entities arrive into a system for processing, per unit of time.

Model C

A specific model or version within a series of designs, products, or frameworks, distinguished by unique features or specifications.

M/D/1 System

A queueing model describing a service system with a single server, Poisson arrival process, deterministic service times, and a queue capacity of one.