Question 2 18 pts) A household survey was conducted in a city block to estimate the proportion of money spent on food out of total household income per year. A simple random sample of 5 households was selected out of 120 households in the city block. The sample data of household income and the amount of money spent on food are given in the following table. It was known that the average income of all the households in the community was 12,000 RO. Household Total income Money spent on food 15,050 1450 18,500 1890 8,000 1100 10,000 1225 5 16,000 1345 2 3 4 a) [6 pts]Obtain the ratio estimate of the mean amount of money spent on food, and place a bound on the error of estimation b) [8 pts) Obtain the regression estimate of mean amount of money spent on food, and place a bound on the error of estimation. c) (4 pts) Find the relative efficiency of ratio estimator to regression estimator and comment on the result Question 2 18 pts) A household survey was conducted in a city block to estimate the proportion of money spent on food out of total household income per year. A simple random sample of 5 households was selected out of 120 households in the city block. The sample data of household income and the amount of money spent on food are given in the following table. It was known that the average income of all the households in the community was 12,000 RO. Household Total income Money spent on food 15,050 1450 18,500 1890 8,000 1100 10,000 1225 5 16,000 1345 2 3 4 a) [6 pts]Obtain the ratio estimate of the mean amount of money spent on food, and place a bound on the error of estimation b) [8 pts) Obtain the regression estimate of mean amount of money spent on food, and place a bound on the error of estimation. c) (4 pts) Find the relative efficiency of ratio estimator to regression estimator and comment on the result