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There Are Three Work Centers (A,B,and C)behind the Financial Aid

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There are three work centers (A,B,and C)behind the financial aid counter at a nearby university.They can each fit into any of three office spaces (1,2,and 3)off the corridor behind the desk.There is no student contact in these areas,only workers.The distance 1-2 is 20 feet,2-3 is 30 feet,and 1-3 is 50 feet.The matrix of work (trips per day)at the three centers are shown in the following table.Remember that each trip must be a round-trip (from 1 to 2 and back,for example).
There are three work centers (A,B,and C)behind the financial aid counter at a nearby university.They can each fit into any of three office spaces (1,2,and 3)off the corridor behind the desk.There is no student contact in these areas,only workers.The distance 1-2 is 20 feet,2-3 is 30 feet,and 1-3 is 50 feet.The matrix of work (trips per day)at the three centers are shown in the following table.Remember that each trip must be a round-trip (from 1 to 2 and back,for example).     (a)How many possible assignments are there? List them. (b)Calculate the total distance traveled in each of these assignments. (c)Which assignment minimizes distance traveled?
(a)How many possible assignments are there? List them.
(b)Calculate the total distance traveled in each of these assignments.
(c)Which assignment minimizes distance traveled?


Definitions:

Alternative Hypothesis

A hypothesis that contradicts the null hypothesis, suggesting a new effect or relationship.

Directional

Refers to tests or hypotheses that specify the expected direction of the relationship between variables (e.g., greater than, less than).

Directional

In research, directional usually refers to a hypothesis that specifies the direction of an expected difference or relationship.

µ > 164

A mathematical condition indicating that the population mean is greater than 164.

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