Chapter 4.3, Problem 5A

Suppose that the campus in Questions 1—4 is a small satellite campus, with only 400 students. After surveying 180 students (Question 3), almost half of everyone on campus would have been surveyed. The formula for finite population correction is below. Find the value, and in the next question we’ll learn what to do with that number.

$\text{FPC <mo> = <msqrt> <mrow> <mstyle scriptlevel="+1"> <mfrac> <mrow> <mi> N <mo> − <mi> n <mrow> <mi> N <mo> − <mn> 1 </mn> </mo> </mi> </mrow> </mi> </mo> </mi> </mrow> </mfrac> </mstyle> </mrow> </msqrt> </mo>}$ where N is the population size, and n is the sample size.