The meat department manager at a grocery store is worried some of the packages of ground beef labeled as having one pound of meat may be under-filled. He decides to take a sample of 5 packages from a shipment containing 100 packages of ground beef. The packages were numbered as they were put in the box, so each one has a different number between 1 and 100. Describe how the manager can select a fair sample of 5 packages. Select all the reasons why random samples are preferred over other methods of getting a sample.
A: If you select a random sample, you can determine how many people you want in the sample.
B: A random sample is always the easiest way to select a sample from a population.
C: A random sample is likely to give you a sample that is representative of the population.
D: A random sample is a fair way to select a sample, because each person in the population has an equal chance of being selected.
E: If you use a random sample, the sample mean will always be the same as the population mean.