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Understanding Sampling Distributions in Statistics

Explore the significance of sampling distributions in statistics, including parameters, statistics, and the Binomial Distribution. Learn how sampling distributions help estimate and make decisions about population values. Sampling Distributions are crucial for evaluating the reliability of statistical inferences.

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Understanding Sampling Distributions in Statistics

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  1. Chapter 7: Introduction to Sampling Distributions Section 1: Sampling Distributions

  2. population – entire set of elements or individuals sample – subset of population

  3. ) ( , , parameter – numerical descriptive measure of a population statistic – numerical descriptive measure of a sample ( ) , s, s

  4. Binomial Distribution proportion or probability of success population – p sample – “p-hat”

  5. Statistics are used to make the following inferences about their corresponding parameters: 1. to estimate the value of a population 2. to formulate a decision about the value of a population parameter

  6. Sampling Distribution • probability distribution for a statistic • used to evaluate the reliability of inferences

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