Assuming the following data for a population of 800 elements distributed into 4 stratum: cost per unit Stratum h Size Variance Nh ($) 1 150 64 0.2 2 230 81 0.1 3 320 25 0.4 4 100 100 0.9 1) If we plan to use a Stratified Random Sample of size 160 to make an estimate of (average). Compute: The allocation of elements over strata based on: a) Equal allocation b) Proportional Allocation c) Optimal Allocation 2) If we plan to use a Stratified Random Sample to make an estimate of (average). a) Compute: The the allocation that will yield the estimated mean having the lowest standard error at fixed cost of sampling (C=$1000): b) What is the sample size at this study? 3) If we plan to use a Stratified Random Sample of size 160 to make an estimate of (average). a) Compute: The allocation that will yield an estimate having the lowest variance per unit cost b) Compute the total cost of sampling (C):