58 + The standard error formula o; = a/ actually treats the population size N as infinitely large relative to the sample size n. The formula for y for a finite population size N is IN-n The term (Na)/(N-1) is called the finite population correction. =

a) When 300 students are selected from a college student body of size A' = 30,000, show that of 9950/n. (In practice, n is usually small relative to A', so the correction has little influence.)

b) If = N (i.e, we sample the entire population), show that = 0. In other words, no sampling error occurs. since = p.