Question: Use the applet for the Sampling Distribution for the Sample Mean for continuous variables at www. artofstat.com/webapps.html to investigate the sampling distribution of y. (a)

Use the applet for the Sampling Distribution for the Sample Mean for continuous variables at www.

artofstat.com/webapps.html to investigate the sampling distribution of ¯y.

(a) Select the skewed population distribution and set the skewness = 2. Take 10,000 samples of size 50 each. How does the empirical sampling distribution of sample means compare to the population distribution? What does this reflect?

(b) Repeat, this time choosing a sample size of only 2 for each sample. Why is the sampling distribution not symmetric and bell shaped?

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