Suppose that a simple random sample is taken without replacement from a finite population of size N.
a. Show mathematically that Equations (7.1) and (7.2) are identical for samples of size 1.
b. Explain in words why part (a) is true.
c. Without doing any computations, determine σ. x for samples of size N without replacement. Explain your reasoning.
d. Use Equation (7.1) to verify your answer in part (c).