The farms raising cattle in Laguna were divided into 3 strata based on their land areas as reported in the 2001 Census of Agriculture (CA). Below is the summary of statistics derived from the 2001 CA....

Extracted text: The farms raising cattle in Laguna were divided into 3 strata based on their land areas as reported in the 2001 Census of Agriculture (CA). Below is the summary of statistics derived from the 2001 CA. You were asked to undertake a simple cost of production survey. No. of cattle Average farms in Population Variance Stratum no. of Cattle per farm 25 Laguna Large 100 250 Medium 500 12 80 Small 1400 12 2000 a. Suppose that the per interview cost of surveying large farms is Php 300, while in the medium farms, Php 600 and in small farms, Php750 and given a field operations budget of Php 360,000, design a probability sample survey that will render minimum variance for estimating cattle-related characteristics of interest. b. Compare your results with the variance of the sample mean derived from a design using proportional allocation of the same sample size from (a).