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The Grid Graph Gm,n Refers to the Graph Obtained by Taking

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the grid graph Gm,n refers to the graph obtained by taking an m × n rectangular grid of streets (m ≤ n) with m north/south blocks and n east/west blocks. For example:  the grid graph G<sub>m,n</sub> refers to the graph obtained by taking an m × n rectangular grid of streets (m ≤ n) with m north/south blocks and n east/west blocks. For example:   -For which positive integers m and n does  G _ { m , n }  have an Euler path but no Euler circuit?
-For which positive integers m and n does Gm,nG _ { m , n } have an Euler path but no Euler circuit?


Definitions:

Normal Distribution

A bell-shaped curve that describes the spread of a characteristic throughout a population; it is symmetric and depicts that data near the mean are more frequent in occurrence.

Null Hypothesis

The hypothesis that there is no significant difference or effect, often denoted H0, in statistical hypothesis testing.

Mean MPG

The average miles per gallon achieved by a vehicle, calculated by summing the miles per gallon for all vehicles in the sample and dividing by the number of vehicles.

Test Statistic

A measure calculated from sample data used to determine the extent to which the null hypothesis should be rejected or not.

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