The federal government tells the state of Wyoming that they must adopt new standards into their high school classrooms.
Wyoming's Department of Education says, "No, the states are in
charge of setting their education standards." Which amendment
would Wyoming cite? Why?

The 10th amendment states:

"The powers not delegated to the United States by the Constitution, nor prohibited by it to the States, are reserved to the States respectively, or to the people"

So basically the constitution lays out a list of powers that the federal government has (eg: the power to mint money). Any power not listed in the constitution is then given to the states, as long as that rule doesn't violate a power granted to the federal government.

Nowhere in the constitution does it mention anything about education standards, so it is up to the states to decide what schools should cover, and by what time schedule. And this power to the states is granted explicitly in the 10th amendment of the constitution.

d: social contract theory

health care plans in the united states having high costs because they are focusing on providing quality programs for different groups of individuals. the quality of the service is based on money flow received from the members. without this investment, couldn't be possible a constant scientific searching to prevent death and illness caused because of low levels of health investigation. currently, the complaints are not about the highest cost, but about the coverage and benefits to access the necessary health services required by the members.  

besides, if a global health system is established the quality levels will fall down because of the standardized of the health. the access to care will increase but the quality will be low because it depends on the money invested.