Question

(b) A firm is interested in estimating the average per capita income in a certain city. There is not an available list of resident adults. The city is marked off into rectangular blocks. The researchers decide that each of the city blocks will be considered a cluster. The clusters are numbered from 1 to 10 and there is budget for sampling n = 4 clusters and to interview every household within each cluster. Information obtained from the sampled clusters is given below: Number of residents per cluster | 55 | 63 | 58 | 70 Total income per cluster | 2210 | 2430 | 2370 | 2880 i. Give an unbiased estimate of the population total. ii. Estimate the standard error of that estimator.

          (b) A firm is interested in estimating the average per capita income in a certain city. There is not an available list of resident adults. The city is marked off into rectangular blocks. The researchers decide that each of the city blocks will be considered a cluster. The clusters are numbered from 1 to 10 and there is budget for sampling n = 4 clusters and to interview every household within each cluster. Information obtained from the sampled clusters is given below:

Number of residents per cluster | 55 | 63 | 58 | 70
Total income per cluster | 2210 | 2430 | 2370 | 2880

i. Give an unbiased estimate of the population total.
ii. Estimate the standard error of that estimator.

(b) A firm is interested in estimating the average per capita income in a certain city. There is not an available list of resident adults. The city is marked off into rectangular blocks. The researchers decide that each of the city blocks will be considered a cluster. The clusters are numbered from 1 to 10 and there is budget for sampling n = 4 clusters and to interview every household within each cluster. Information obtained from the sampled clusters is given below:

Number of residents per cluster | 55 | 63 | 58 | 70
Total income per cluster | 2210 | 2430 | 2370 | 2880

i. Give an unbiased estimate of the population total.
ii. Estimate the standard error of that estimator.

Added by Austin G.

Question

Please give Ace some feedback