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:

Menopause

A natural biological process marking the end of a woman's reproductive years, characterized by the cessation of menstrual periods.

Allergic

Having an immunity-based reaction to substances that are generally harmless, resulting in symptoms like sneezing, itching, or rash.

Contacts

Refers to contact lenses, thin lenses placed directly on the surface of the eye to correct vision.

Otosclerosis

A disorder characterized by abnormal bone growth in the middle ear, which can lead to hearing loss due to fixation of the stapes bone.