Five Samples of Size 4 Were Taken from a Process

question 166

Multiple Choice

Five samples of size 4 were taken from a process.A range chart was developed that had LCLR = 0 and UCLR = 2.50.Similarly,an average chart was developed with the average range from the five samples,with =15.0 and = 24.0.The ranges for each of the five samples were 1.75,2.42,2.75,2.04,and 2.80,respectively.The values of the sample average for each sample were 19.5,22.3,17.4,20.1,and 18.9,respectively.What can you tell management from this analysis?

• A)The process variability is out of control,and we cannot make a statement about the process average.
• B)The process variability is out of control,but the process average is in control.
• C)The process variability and the process average are out of control.
• D)We cannot tell if the process variability or the process average is out of control.

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Definitions:

Commerce Clause

A provision in the U.S. Constitution that grants Congress the power to regulate commerce with foreign nations, and among the several states, and with the Indian tribes.

Growth of National Power

The increase in strength and influence of a nation’s government over time, often in terms of political, economic, or military capacity.

U.S. Constitution

The foundational document of the United States, outlining the framework of government, rights of citizens, and laws of the land.

American Federalism

A political system in which power is divided between a central authority and constituent political units (states), allowing both to enact laws within their respective areas of responsibility.