Preview - Sampling Distributions 2021

Exploring different population distributions

Questions

Please answer the questions below.

Click "setup" and "Create My Own People" to create your own population distribution. Make sure your population size is greater than 50. Hint: instead of clicking once to create one person at a time, you can click and hold to create your population faster. 

Need help? Watch this VIDEO

Question: How would you describe the shape of your population?

Using the preset from your previous answer, start with a sample size of 10 and let the model run for at least 200 samples. Record the value of "std-dev-means" and the shape of the "sample-data-distribution".

Reset the model and increase the sample size to 20. Run the model for at least 200 samples. What do you notice about the std-dev-means and the shape of the sample-data-distribution?

Reset the model and increase the sample size to 40. Run the model for at least 200 samples. What do you notice about the std-dev-means and the shape of the sample-data-distribution?

Compare the "std-dev-means" between a sample size of 10 and a sample size of 40. By what factor was the standard deviation reduced? (Hint: divide the two numbers to create a fraction)

At a certain point, the sample-data-distribution becomes approximately Normal. What do you think is the cut-off for a sample size that produces an approximately Normal sampling distribution? Use the model above to answer this question. 

Notes

These notes will appear on every page in this lesson so feel free to put anything here you'd like to keep track of.