Question

1. a university’s 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 35013 15529 72765 85089 57067 50211 47487 2940 0769 1481 2975 1215 2. you’re in college now, and you want to investigate the attitudes of students at your school toward the faculty’s 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. (a)

Step1: Label the students

Label the 3478 students from 0001 to 3478.

Step2: Select a starting - point in the random digits table

Choose an arbitrary starting - point in the random digits table.

Step3: Establish a stopping rule

Stop when 100 unique four - digit numbers between 0001 and 3478 are selected.

Step4: Identify the sample

The students corresponding to the selected four - digit numbers form the sample.

1. (b)

We start reading the random digits table in groups of four digits.

Step1: First number

Starting from the left - most digits, the first four - digit number is 9559. Since 9559>3478, we ignore it.

Step2: Second number

The next four - digit number is 9400. Since 9400>3478, we ignore it.

Step3: Third number

The next four - digit number is 7699. Since 7699>3478, we ignore it.

Step4: Fourth number

The next four - digit number is 7191. Since 7191>3478, we ignore it.

Step5: Fifth number

The next four - digit number is 4816. Since 0001≤4816≤3478, it is a valid selection.
Continuing in this way, the first five valid four - digit numbers (students) are: 4816, 0779, 1729, 0335, 3501

2. (a)

The exact population depends on the scope defined. If the study aims to represent the general student body's opinion, the population could be all full - time and part - time students currently enrolled in the college. However, if the focus is on traditional full - time students, part - time students may be excluded.

A stratified sample could be useful if there are subgroups within the student population that may have different attitudes, such as freshmen, sophomores, juniors, and seniors, or students from different majors. We could divide the population into these strata and then take a proportionate number of students from each stratum. If we assume no strong differences among subgroups, a simple random sample could also be used.

Answer:

All full - time and part - time students currently enrolled in the college (or a more specific definition depending on the study's scope, e.g., only full - time students)

2. (b)