The two sampling distributions that are used in estimation and hypothesis testing of population means and proportions are Student t test and Standard normal distribution.
The Student's or t-distribution is the foundation for parametric tests like Student's t-tests. The means of two groups are compared using the Student's t test.
One may imagine using the conventional normal distribution and scale to scale up or down another normal distribution. A standard normal distribution can be translated into numbers using the standard normal distribution, which can then be utilized to understand more about the collection of data than was previously known.
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