question archive significance of each: Sampling distribution and central limit theorem

significance of each: Sampling distribution and central limit theorem

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significance of each:

Sampling distribution and central limit theorem. Include hypothetical examples for better clarity.

The z statistic and what qualifies a statistic to be z statistic based on the central limit theorem and the basic properties of normal distributions? What are the limitations of the central limit theorem, and how some of these limitations are bypassed?

What test statistic is used for constructing a confidence interval on the population's proportion?

Why and when t statistic is used in constructing a confidence interval for the mean of a population.

 

 

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