Skillbuilder Applet Exercise simulates sampling from a skewed population, where 6.029 and 10.79.

Question:

a. Change the “# Observations per sample”

to “4.” Using batch and 500, take 1000 samples of size 4.

b. Compare the mean and standard deviation for the sample means with and . Compare the sample standard deviation with /n, which is 10.79/4. Does the histogram have an approximately normal shape? If not, what shape is it?

c. Using the “clear” button each time, repeat the directions in parts a and b for samples of size 25, 100, and 1000. Table your findings for each sample size.

d. Relate your findings to the SDSM and the CLT.

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