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Chapter 2: Problem 19

Of the 6500 students enrolled at a community college, 3000 are part time and the other 3500 are full time. The college can provide a list of students that is sorted so that all full-time students are listed first, followed by the part-time students. a. Describe a procedure for selecting a stratified random sample that uses full-time and part-time students as the two strata and that includes 10 students from each stratum. b. Does every student at this community college have the same chance of being selected for inclusion in the sample? Explain.

Short Answer

Expert verified
The stratified random sample selection involves separate selection within each stratum of full-time and part-time students. 10 students are picked at random from each stratum using a random number generator. However, not every student has the same chance of being selected; the selection is stratified, not random across the entire population. It doesn't reflect the actual distribution of full-time and part-time students in the college.

Step by step solution

01

Selection Procedure

To choose a stratified random sample, a separate selection is made within each stratum. For full-time students, random selection from 3500 students could be conducted using a random number generator to select 10 students. The same could then be repeated for the part-time students, selecting 10 out of 3000.
02

Evaluation of Equal Probability

Every student at the community college does not have the exact same chance of being selected. This is because the proportion of the sampling does not directly represent the proportion of full-time and part-time students in the student population. In the sample, half of the students are full-time and the other half are part-time, while in the actual distribution, there are more full-time students compared to part-time students.

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