Exercise 2.4. A private organization PQR was interested in estimating the average amount of real estate farm loans (in $000) during 1997in the United States. The organization collected information from 15 states, the real estate (y) and non-real estate (x) farm loans, included in an SRSWOR sample taken from a list of 50 states and observed the following results: n i=1 n = 18867.089, ₁ = 12525.246, i=1 n n n [x² = 48780336.98, y = 18001501.38 and Exy₁ = 2659171056. i=1 i=1 i=1 The average amount of non-real estate farm loans is $878.16 (in $000) for the year 1997 is known. (a)Obtain a ratio estimate for the average amount of the real estate farm loans (in $000) during 1997. Develop an estimator of the mean squared error of the ratio estimator and hence deduce the 95% confidence interval.