A researcher wants to take a simple random sample of about 5% of the student body at each of two schools. The university has approximately 20,000 students, and the college has about 5000 students. Identify each of the following as true or false and justify your answer.
a. The sampling variability is the same for both schools.
b. The sampling variability for the university is higher than that for the college.
c. The sampling variability for the university is lower than that for the college.
d. No conclusion about the sampling variability can be stated without knowing the results of the study.