A college professor wants to survey a sample of students taking her large lecture course. There are about 150
students in the course, and 10 of those students are graduate students. She wants to take a systematic random
sample of approximately 30 students.
Which of these strategies will accomplish her intended design?

a. randomness select 15 men and 15 women from the class for the survey
b. randomly select 2 graduate students and 28 other students for the survey
c. randomly selects one of the first 5 students to arrive to class, and every 5th student thereafter to take the survey
d. randomly select one of the first 15 students to arrive to class, and every 15th student thereafter to take the survey
e. assign each student a number and use a computer to randomly select 30 students for the survey

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Cat123dog456 Cat123dog456 · Answer 1 · 2021-09-08T23:18:47+02:00

Answer:

B

Step-by-step explanation:

B is the only answer that will ensure she gets graduate students in the sample without getting too few or too many.

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joaobezerra joaobezerra · Answer 2 · 2021-11-05T13:30:34+01:00

Using the concept of systematic sampling, it is found that the correct option is:

c. randomly selects one of the first 5 students to arrive to class, and every 5th student thereafter to take the survey

In a systematic sample, every kth element is chosen.

In this problem, she wants a sample of 30 students, and in total, there are 150 students.

[tex]\frac{150}{30} = 5[/tex]

Hence, one of the first 5, and then every 5th student should be chosen, and option c is correct.

A similar problem is given at https://brainly.com/question/25122507