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Is this statement true or false?"Parameters" relate to populations, while "statistics" relate to samples.

Question

Is this statement true or false?

"Parameters" relate to populations, while "statistics" relate to samples.

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Solution

Analysis of the Statement

  1. Understanding Parameters and Statistics:

    • Parameters are numerical values that summarize data for an entire population. They are typically unknown and fixed.
    • Statistics, on the other hand, are numerical values that summarize data from a sample drawn from that population. They are variable and used to estimate the parameters.
  2. The Relationship:

    • The statement claims that "Parameters" relate to populations, while "statistics" relate to samples. This reflects the fundamental principle of statistical analysis where parameters describe population characteristics and statistics describe sample characteristics.

Verification of the Statement

  • Given that parameters define the population and statistics define sample characteristics, the statement accurately portrays the relationship between these two concepts in statistics.

Conclusion

The statement is True.

This problem has been solved

Similar Questions

In the context of statistical inference, why is it necessary to distinguish between parameters and statistics when seeking information about a population?

Parameter is a characteristic of:(a) Population(b) Sample(c) Probability distribution(d) Both (a) & (b)

Generally, actual population parameters are unknown since the cost to perform a true census of almost any population is prohibitive. True False

A parameter is a characteristic, like mean or median, that describes the population, while a statistic is a characteristic that describes a sample.

What do we call the population value?(1 Point)a) statisticb) parameterc) datad) variable

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