Solve the Problem. -Three Randomly Selected Households Are Surveyed as a Pilot Project

question 154

Essay

Solve the problem.
-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, 6, and 9. Consider the values of 5, 6, and 9 to be a population.
Assume that samples of size n = 2 are randomly selected with replacement from the population of 5, 6, and 9.
The nine different samples are as follows: (5, 5), (5, 6), (5, 9), (6, 5), (6, 6), (6, 9), (9, 5), (9, 6), and (9, 9).
(i) Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the
format of a table representing the probability distribution. (ii) Compare the population median to the mean of
the sample medians. (iii) Do the sample medians target the value of the population median? In general, do
medians make good estimators of population medians? Why or why not?

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Definitions:

Retrieval

The process of accessing and recalling information or memories from one's mind.

Fuzzy Trace Theory

States that memory is best understood by considering two types of memory representations: (1) verbatim memory trace; and (2) fuzzy trace, or gist. According to this theory, older children’s better memory is attributed to the fuzzy traces created by extracting the gist of information.

Verbatim Memory Trace

The detailed and precise recall of exact details, such as words or images, from memory.

Grist

Material or ideas ready to be used or turned into something valuable.