Three Randomly Selected Households Are Surveyed as a Pilot Project

question 9

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 5, 7, and 9. Consider the
values of 5, 7, and 9 to be a population. Assume that samples of size n = 2 are randomly
selected with replacement from the population of 5, 7, and 9. The nine different samples are
as follows: (5, 5), (5, 7), (5, 9), (7, 5), (7, 7), (7, 9), (9, 5), (9, 7), and (9, 9). (i)Find the mean
of each of the nine samples, then summarize the sampling distribution of the means in the
format of a table representing the probability distribution. (ii)Compare the population mean
to the mean of the sample means. (iii)Do the sample means target the value of the
population mean? In general, do means make good estimators of population means? Why or
why not?

---

Definitions:

Tolerance for Ambiguity

The degree to which an individual is comfortable with uncertainty, unpredictability, and unclear situations without experiencing significant stress.

Cultural Differences

The variations in the practices, customs, and behaviors of different societies or cultures.

Necessity-based Entrepreneur

An individual who starts a business out of necessity, often due to the lack of employment opportunities.

Necessity-based Entrepreneurship

Entrepreneurial activities initiated out of a need rather than a desire for opportunity, often due to lack of traditional employment options.