THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 49

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let X₁,X₂,X₃,and X₄ be a random sample of observations from a population with mean μ and variance σ².Consider the following two point estimators of μ:
₁ = 0.10 X₁ + 0.20 X₂ + 0.40 X₃ + 0.30 X₄,and
₂ = 0.25 X₁ + 0.25 X₂ + 0.30 X₃ + 0.20 X₄
-Raising in-state and out-of-state tuition is supposed to reduce the number of students in state supported universities.The registrar of a university wants to estimate the proportion P of students who are paying for out-of-state tuition on the installment plan (to later be compared with in-state installment plan payers).A random sample of 80 students who live out-of-state is taken and 50 of them pay tuition on the installment plan.Find a 99-percent confidence interval for P,based on these data.

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Definitions:

State Officials

Individuals holding positions of authority in government at the state level, responsible for implementing laws and policies.

Tenth Amendment

A change to the U.S. Constitution specifying that any powers not assigned to the federal government or banned by the Constitution from the states belong either to the state governments or to the citizens.

State Sovereignty

The concept that states possess independent authority and the right to govern themselves without external intervention, within their territorial boundaries.

Printz v. United States

A United States Supreme Court case that decided it was unconstitutional for the federal government to command states' law enforcement officers to enforce federal laws.