Question

1. a universitys financial aid office wants to know how much it can expect students to earn from summer employment. this information will be used to set the level of financial aid. the population contains 3478 students who have completed at least one year of study but have not yet graduated. a questionnaire will be sent to an srs of 100 of these students, drawn from an alphabetized list. (a) describe how you will select the sample. follow the four steps: label, table, stopping rule, and identify sample. (b) use the portion of the random digits table below to select the first five students in the sample. 95592 94007 69971 91481 60779 - 53791 17297 59335 68417 35083 15529 72765 85089 57067 50211 47487 2. youre in college now, and you want to investigate the attitudes of students at your school toward the facultys commitment to teaching. the student government will pay the costs of contacting about 500 students. (a) specify the exact population for your study, for example, will you include part - time students? (b) describe your sampling design. will you use a stratified sample? (c) briefly discuss the practical difficulties that you anticipate, for example, how will you contact the students in your sample?

Explanation:

1.

Step1: Label students

Label the 3478 students from 0001 - 3478.

Step2: Select digits

Start at the beginning of the random - digits table. Take 4 - digit numbers.

Step3: Check validity

If the 4 - digit number is between 0001 and 3478, it is a valid selection. If it is out of range (greater than 3478 or duplicates), skip it.

Step4: Select first five

Continue the process until 5 valid student numbers are selected.

Using the given random - digits table:

• 95592 is out of range (skip).
• 94007 is out of range (skip).
• 69971 is out of range (skip).
• 91481 is out of range (skip).
• 60779 is out of range (skip).
• 53791 is out of range (skip).
• 17297 is a valid selection.
• 59335 is out of range (skip).
• 68417 is out of range (skip).
• 35083 is out of range (skip).
• 15529 is a valid selection.
• 72765 is out of range (skip).
• 85089 is out of range (skip).
• 57067 is out of range (skip).
• 50211 is a valid selection.
• 47487 is out of range (skip).
• The first five valid student numbers (assuming we continue the process) could be 17297, 15529, 50211, (continue selecting two more following the same rules).

Step1: Define population

The exact population should be clearly defined. If part - time students are relevant to the study of attitudes towards faculty's teaching commitment, they should be included. Otherwise, exclude them. For example, if we assume part - time students are relevant, the population is all students (full - time and part - time) at the school.

Step2: Sampling design

A stratified sample could be considered if there are subgroups within the student population that may have different attitudes towards the faculty's teaching commitment. For example, different class levels (freshmen, sophomores, juniors, seniors), different majors, or different living arrangements (on - campus, off - campus). If we use a stratified sample, we would first divide the population into these strata and then randomly sample from each stratum in proportion to its size in the population. If not using a stratified sample, a simple random sample could be used, where each student in the population has an equal chance of being selected.

Step3: Identify difficulties

Practical difficulties may include:

• Contact information: Obtaining accurate contact information (email, phone number) for all students in the sample. Some students may have changed their contact details or may not respond to emails or phone calls.
• Non - response bias: Some students may choose not to participate in the survey, which could lead to a non - response bias if the non - responders have different attitudes than the responders.

Answer:

The first three selected students' labels are 17297, 15529, 50211. (Two more need to be selected following the described process)

2.