The example that is not one of the expansion of the federal government during World War I is the Banking Services Board.
The expansion of the federal government during World War I includes the operations that is been carried out by the government to savage the effect of the war.
It should be noted that this includes the Railroad Administration which help to improve the economy by the movement of the people from one place to another so they can carry out their trading activities.
Therefore, the first option is correct.
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