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 n = 18867.089, Σ Yi = 12525.246, x² = 48780336.98, y² = 1800150138 and ≤ x;³; = 2659171056. i=1 i=1 i=1 i=1 n n 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 S000) during 1997. Develop an estimator of the mean squared error of the ratio estimator and hence deduce the 95% confidence interval.

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