Suppose that Mr. Jones, a high school English teacher, has 18 students in his mo
ID: 3206643 • Letter: S
Question
Suppose that Mr. Jones, a high school English teacher, has 18 students in his morning American Literature class. He wants to interview six of these students to learn whether-or-not they are interested in taking an Advanced Placement literature class next semester. Identify the sampling method (Simple Random Sampling, Stratified Random Sampling, Systematic Random Sampling, Cluster Random Sampling, or Convenience Sampling) used in each of the two scenarios below
(a) Mr. Jones divides the eighteen students into three groups by year in school (sophomore, junior, and senior). Within each of these groups, he assigns each student a number and then uses the RandInt function on his TI-84 calculator to select two students from each group. The six students selected would comprise the sample.
(b) Mr. Jones divides the eighteen students into six groups based on three-person sectors of the classroom (front half and left side, front half and middle, front half and right side, back half and left side, back half and middle, back half and right side). He assign each of these groups a random number, say 0, 1, 2, 3, 4, 5 and then executes the RandInt(0, 5) function on his TI-84 calculator to select two groups; the three students in each of those two selected groups would comprise the sample.
Explanation / Answer
a. Mr. Jones divided the eighteen students in three subpopulations or strata-sophomores, junior and senior. Then he draws random sample of 2 students from each stratum. The strata are homogenous but different from each other. Therefore, stratified random sampling is employed.
b. Mr. Jones has classified the 18 students into six heterogenous groups, which can be termed clusters, and then randomly select two clusters. The cluster are representative of the population. Therefore, Mr. Jones had emplyed cluster sampling.