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?

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Definitions:

Interpersonal Therapies

Focuses on improving communication patterns and how people relate to others to alleviate psychiatric conditions.

Constructivist Therapies

Approaches to psychotherapy that emphasize the individual's capacity to construct their sense of reality, focusing on personal meaning and the process of discovery through therapeutic dialogue.

Evidence-Based Practice

The integration of clinical expertise, patient values, and the best current research evidence into the decision-making process for patient care.

Clinical Expertise

The skill, knowledge, and judgment that healthcare practitioners acquire through their experience and clinical practice.