Chapter 14, Problem 16E

An audit is performed on last year's 15, 000 student-aid packages given out by the financial aid office at Tasmania State University. Roughly half of the student-aid packages were less than $1000 (Category 1), about one-fourth were between $1000 and $5000 (Category 2), and another quarter were over $5000 (Category 3). For each audit described below, name the sampling method that best describes it. Choose your answer from the following: (A) simple random sampling, (B) convenience sampling, (C) quota sampling, (D) stratified sampling, (E) census.

a. The auditor reviews all 15,000 student-aid packages.

b. The auditor selects 200 student-aid packages in Category 1, 100 student-aid packages in Category 2, and 100 student-aid packages in Category 3.

c. The auditor reviews the first 500 student-aid packages that he comes across.

d. The auditor first separates the student- aid packages by school (Agriculture, Arts and Humanities, Engineering, Nursing, Social Science, Science, and Mathematics). Three of these schools are selected at random and further subdivided by major. Ten majors are randomly selected within each selected school, and then 20 students are randomly selected from each of the selected majors.