Analogy for Sampling Distribution of Sample Means

A response to the Misunderstood Activity
created September 13, 2020 by Margaret Dancy (@mdancy)

Number of views: 251

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Students struggle with the concept of the Distribution of Sampling Means and this concept is the building block for much of the rest of the Stats course that I teach.  I usually use a demonstration of how much a student spends at our local college pub each week and demonstrate the problem from there but a better analogy is the idea of going to the grocery store each week.  Each week you will “sample” from the selection of foods and each week you will have a different total bill.  Over the course of a year you will 52 samples of the mean spent each week at the grocery store. These can be used to create a histogram of the sample means, demonstrate the distribution of those sampling means and deriving information from that information.

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Example for "Analogy for Sampling Distribution of Sample Means":
http://www.tloux.com/blog/sampling-distributions-a-description-and-an-analogy/