Skillbuilder Applet Exercise simulates taking samples of size 50 from the population of American ages from the 2000 census, where   36.5 and   22.5 and the shape is skewed right.

a. Click “1” for “# Samples.” Note the 50 data values and their mean. Change “slow” to “batch”

and take at least 1000 samples of size 50.

b. What is the mean of the sample means? How close is it to the population mean?

c. What is the standard deviation of the sample means?

d. Based on the SDSM (as described in Section 7.3), what should you expect for the standard deviation of sample means? How close was your standard deviation from part c?

e. What shape is the histogram of the 1000 means?

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