Skillbuilder Applet Exercise simulates taking samples of size 4 from an approximately normal population, where 65.15 and   2.754.

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

“batch” and take at least 1000 samples using the “500” for “# Samples.”

b. What is the mean for the 1001 sample means?

How close is it to the population mean, ?

c. Compare the sample standard deviation to the population standard deviation, . What is happening to the sample standard deviation?

Compare it with /n, which is 2.754/4.

d. Does the histogram of sample means have an approximately normal shape?

e. Relate your findings to the SDSM.