The members of a population have been numbered 1–1000. A sample of size 20 is to be taken from the population, using stratified random sampling with proportional allocation. The strata are of sizes 300, 200, 400, and 100, where stratum #1 consists of the members of the population numbered 1–300, stratum #2 consists of the members of the population numbered 301–500, and so forth.

a. Determine the sample sizes that will be taken from the strata.

b. Apply Procedure 1.3 on page 21 to determine the sample (i.e., the numbers corresponding to the members of the population that are included in the sample).