PopSizes data:

"District","Num.Residents" 1,9193 2,3675 3,35151 4,6142 5,17543 6,7893 7,19302 8,6485 9,3347 10,16837 11,1504 12,8305 13,1121 14,651 15,3084 16,4040 17,23187 18,5585 19,4409 20,10815 21,6672 22,37587 23,7404 24,1586 25,9883 26,5892 27,1006 28,539 29,1566 30,2247 31,4955 32,12690 33,3281 34,2804 35,3703 36,2570 37,3469 38,3835 39,1938 40,1972 41,5583 42,28682 43,9317 44,29463 45,2988 46,2252 47,1624 48,595 49,6780 50,23492

Income Data:

"District","Incomes.1","Incomes.2","Incomes.3","Incomes.4","Incomes.5","Incomes.6","Incomes.7","Incomes.8","Incomes.9","Incomes.10","Incomes.11","Incomes.12","Incomes.13","Incomes.14","Incomes.15" 3,33.6,34.8,46,75.4,67.8,47.1,35.2,30.8,61.4,45.2,28.2,51.3,14.3,135.5,144.2 24,29.9,56.4,165,33.2,12.1,28.5,29.3,31.8,81.4,27.2,51.4,14.6,55.5,21.9,28.5 7,123,42.1,43.9,25.5,88.2,119.5,136.5,62.1,51.5,55.2,44.4,120.5,57,111.7,26.7 2,232.2,27.8,54.2,78.3,119.1,50.2,75,66.9,51.1,24.4,93.6,40.4,21.3,49.8,86 5,61.3,99,31.3,112.7,21,43,131.7,55.1,44.9,24,25.8,49,27,67.3,66.3 7,47.8,20.6,81,52.6,111.2,56.5,36,94.9,110.1,72.5,53.9,28.3,59,75.5,84.1 18,27.2,182.6,96,70.7,37.1,23,131.6,107.9,55.7,87.9,39.2,89.2,94.7,46.6,38.2 3,22.2,110.3,57.2,111.6,62.3,34.7,99.3,73.9,19.2,59.9,77.4,102.6,38.5,54.8,63.5 35,153.3,28.1,98.5,92.8,69.8,151.8,137.9,52.7,64.3,152.1,35.4,79.8,103.6,55.9,75.9 32,50.9,37.5,127.3,65.5,89.5,83,55.2,69.7,76.5,29.3,160.3,88.2,55.9,46.6,50.4

There are two files linked below. The first gives the number of residents living in each of the 50 districts that comprise a city. (The districts are just referenced by number, 1 through 50.) Interest lies in estimating the annual income of the city's residents. A survey was conducted by randomly selecting 10 of the districts with replacement, where on each random draw the districts' selection probabilities were proportional to their population sizes, these being given in PopSizes.csv. Each time a district was selected, incomes of 15 randomly selected residents were collected. (If a district has already been selected, a "fresh" sample of 15 residents is obtained each time it is picked subsequently). The resulting data (in units of $1000's) are provided in the second file, Income Data.csv. (Note this file has 16 columns, the first indicates which district was selected, while the remaining 15 give the incomes of those sampled.) LINK for PopSizes.csv (Download the csv file here) LINK for IncomeData.csv (Download the csv file here) (a) Give an estimate of the average income in this city (in units of $1000's, to one decimal place). (b) Give a standard error for your estimate (again in units of $1000's, to one decimal place). There are two files linked below. The first gives the number of residents living in each of the 50 districts that comprise a city. (The districts are just referenced by number, 1 through 50.) Interest lies in estimating the annual income of the city's residents. A survey was conducted by randomly selecting 10 of the districts with replacement, where on each random draw the districts' selection probabilities were proportional to their population sizes, these being given in PopSizes.csv. Each time a district was selected, incomes of 15 randomly selected residents were collected. (If a district has already been selected, a "fresh" sample of 15 residents is obtained each time it is picked subsequently). The resulting data (in units of $1000's) are provided in the second file, Income Data.csv. (Note this file has 16 columns, the first indicates which district was selected, while the remaining 15 give the incomes of those sampled.) LINK for PopSizes.csv (Download the csv file here) LINK for IncomeData.csv (Download the csv file here) (a) Give an estimate of the average income in this city (in units of $1000's, to one decimal place). (b) Give a standard error for your estimate (again in units of $1000's, to one decimal place)