Three Randomly Selected Households Are Surveyed as a Pilot Project

question 26

Essay

Three randomly selected households are surveyed as a pilot project for a larger survey to be conducted later. The numbers of people in the households are 2, 3, and 8. Consider the
values of 2, 3, and 8 to be a population. Assume that samples of size n = 2 are randomly
selected with replacement from the population of 2, 3, and 8. The nine different samples are
as follows:
(2, 2), (2, 3), (2, 8), (3, 2), (3, 3), (3, 8), (8, 2), (8, 3), and (8, 8).
(i)Find the range of each of the nine samples, then summarize the sampling distribution of the
ranges in the format of a table representing the probability distribution. (ii)Compare the
population range to the mean of the sample ranges. (iii)Do the sample ranges target the value
of the population range? In general, do ranges make good estimators of population ranges?
Why or why not?

---

Definitions:

Certificate Of Deposit

A document whereby a bank promises to pay a payee a certain amount of money at a future time.

Promise

A declaration or assurance that one will do something or that a particular thing will happen.

Accord

An agreement in the context of contract law where one party agrees to accept a substitute form of satisfaction from the other party.

Negotiable Instrument

A written document guaranteeing the payment of a specific amount of money, either on-demand or at a set time, with the payer named on the document.