The file lawyers.csv linked below contains the result of a simple random sample of 35 out of 237 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 77025 km2km2, and the total population is 7110000 people. Provide answers to the nearest integers. lawyer.csv data provided below (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.) . (d) Give a 95% confidence interval to accompany your answer to (c). ( , ).

"inhabitants","area","num.lawyers" 38413,135,17 19845,283,9 25585,116,12 13655,457,6 48483,127,24 10437,363,7 32972,181,14 40576,600,21 44935,364,19 11643,384,7 36445,566,20 45135,149,23 45622,223,31 32651,440,16 33742,408,20 24581,338,14 24297,255,17 33658,123,17 44618,623,21 37221,107,26 15483,283,7 31878,148,22 37117,228,15 31123,182,21 13470,131,5 34800,305,16 11269,346,6 28457,485,18 23201,376,16 35341,233,23 26924,282,15 26208,210,15 46748,127,29 42350,252,24 31604,271,15