The file lawyers.csv linked below contains the result of a simple random sample of 35 out of counties that comprise the mythical land of Nod. Each row corresponds to a sampled county, with the columns giving the county population size (number of inhabitants), the area (in square kilometres), and the number of practicing lawyers. It is known that the total area of Nod is $km^2$, and the total population is people. Provide answers to the nearest integers.

LINK for lawyer.csv ( [ the link to 'Download the csv file here' is broken ] )

(a) Give a "vanilla" estimate for the total number of practicing lawyers in Nod. .

(b) Give a 95% confidence interval to accompany your answer to (a).

(, ).

(c) Give a ratio estimate for the total number of practicing lawyers in Nod. (NOTE: if you can think of more than one ratio estimate for this target, then give the one that makes the most intuitive sense to you.) .

(b) Give a 95% confidence interval to accompany your answer to (c).

(, ).