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Consider five majors in Stratified University, Applied Statistics, Finance, Computer science, Actuarial science and Accounting. The Statcom organization would like to estimate the average SAT score of the students from these five majors using a stratified sampling. The following table contains some relevant information: Major Total number of students Sample size Sample mean Sample Standard deviation s Stats 160 32 1233.73 37.52 Finance 220 44 1281.57 49.43 CS 240 48 1190.36 49.92 AS 200 40 1326.85 47.64 Accounting 180 36 1189.85 36.90 1. Estimate the mean SAT score and place a bound on the estimation error. 2. Find the sample size from each major so that the bound on the estimation error is 4 points. Use proportional allocation a; = M