2.12. To estimate the average income per household (_oy./N) for a population of N = 200 households, a listing of the 600 persons that belong to the 200 house- holds was used as follows. An SIR sample of size m = 10 persons was drawn. The households of the selected persons were identified, and information on average household income, yx/xx, was collected, where y, is the total household income in dollars, and x, is the number of persons in the household. The results are as follows: Draw Average household income (yx,/Xx,) 7,000 8,000 6,000 5,000 9,000 36 0 - a UAWNE 4,000 7,000 8,000 4,000 2,000 Compute an estimate of the average income per household based on the pwr estimator as well as the corresponding cue