The correlation coefficient for the population is

a. Express R as a function of population totals

So that R = h (t1, t2, t3, t4, t5).
b. Let r = h (ṫ1. . . ṫ5), and suppose that E[ṫi]=ti for i=1, . . . , 5. Use the linearization method to find an approximation to the variance of r. Express your answer in terms of V (ṫi) and Cov (ṫi, ṫj).
c. What is the linearization approximation to the variance for an SRS of size n?