A Particular Subdivision Has 20 Homes

question 11

Multiple Choice

A particular subdivision has 20 homes. The number of people living in each of these homes is listed as follows: Which of the following statements is true when comparing a random sample of size three homes selected from the population to a random sample of size 6 homes selected from the population?

• A) The amount of sampling error that will exist between the sample mean and the population mean will be half for the larger sample.
• B) The most extreme negative sampling error between and μ is reduced by about 0.167 person.
• C) We can expect that the larger sample will produce more sampling error due to the potential to make coding errors.
• D) The sampling error that will result from the smaller sample will be less than what we would see from the larger sample.

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Definitions:

IQR

Interquartile range, a measure of statistical dispersion being the difference between the 75th and 25th percentiles, or quartiles, in a data set.

Range

The difference between the highest and lowest values in a data set, giving an indication of the data's dispersion or variability.

Median

The middle value in a set of numbers, which separates the higher half from the lower half.

Standard Deviation

A statistical metric that quantifies the spread or variability of a dataset, highlighting how far individual measurements deviate from the dataset's mean on average.