Exercise 9.1: Selecting a Random and a Systematic Sample

Consider the following listing of the fifty states to be elements in a sampling frame:

Arkansas, Delaware, Florida, Kansas, Maine, New Hampshire, Iowa, North Dakota, South Dakota, Texas, California, Kentucky, Ohio, Tennessee, Colorado, Louisiana, Oklahoma, Utah, Connecticut, Maryland, Pennsylvania, Vermont, Virginia, Massachusetts, Michigan, Georgia, Hawaii, Washington, Oregon, Rhode Island, Idaho, Arizona, West Virginia, Illinois, Wisconsin, South Carolina, Indiana, Minnesota, Mississippi, Wyoming, Montana, Nebraska, Nevada, New Jersey, New Mexico, New York, North Carolina, Alabama, Missouri, and Alaska.

1. Assign a unique number to each state.

2. Using the Table of Random Numbers in the Appendix or the Research Randomizer found at http://www.randomizer.org, select twenty states and list them below:






3. Select a systematic sample of ten states using a random start, and list them below:





4. Stratify the states into two regions consisting of equal numbers (list the states by region). Select a probability sample of ten states from each region and list the samples below: