Go to the applet for the Sampling Distribution for the Sample Mean for discrete variables at www.

artofstat.com/webapps.html.

(a) Construct a population distribution that you think is plausible for y = number of alcoholic drinks in the past day.

(b) Draw a single sample of size n = 1000 to reflect results of a typical sample survey. Summarize how the sample data mean and standard deviation resemble those for the population.

(c) Now draw 10,000 samples of size 1000 each, to approximate the sampling distribution of ¯y.Report the mean and standard deviation of this empirical sampling distribution and compare to the theoretical values of μ and

σ¯y = σ/

√

n. Explain what this sampling distribution represents.