National income from manufacturing industries is to be estimated for 1989 from a sample of 6 of the 19 industry categories that reported figures early for that year. Incomes from all 19 industries are known for 1980 and the total is $674 billion. From the data provided, estimate the total national income from manufacturing in 1989, with a bound on the error. All figures are in billions of constant (1982) dollars. Industary 1980 1989
Lumber and food products 21 26
Electric and electronic equipment 63 91
Motor vehicles and equipment 91 47
Food and kindred products 60 70
Textile mil products 70 70
Chemicals and allied products 50 50
a. Find a ratio estimator of the 1989 total income, and place a bound on the error of estimation. b. Find a regression estimator of the 1989 total income, and place a bound on