A student from the department of Mathematical and Computational Sciences (MCS) is working on his project. He is interested in estimating u, the average study hours per week of MCS students. He divided the students into three strata: Mathematics, Computer Science, and Statistics. The summary data are given in the following table. Population Size Sample Mean Sample Standard Deviation Mathematics 25 2 N1 = 1500 N2 = 3000 N3 = 2000 18 Computer Science Statistics 4 16 5 (a) Find a point estimate for u. Show all the steps. Circle the final answer. (b) Find a point estimator for the total study hours per week for statistics students. Show all the steps. Circle the final answer. (c) Find the overall sample size n to estimate u with a bound on the error of estimation equal to 2 hours using Neyman allocation. Show all the steps. Circle the final answer. (d) Use part (c) to find the sample size allocated to Computer Science? Show all the steps. Circle the final answer. A student from the department of Mathematical and Computational Sciences (MCS) is working on his project. He is interested in estimating u, the average study hours per week of MCS students. He divided the students into three strata: Mathematics, Computer Science, and Statistics. The summary data are given in the following table. Population Size Sample Mean Sample Standard Deviation Mathematics 25 2 N1 = 1500 N2 = 3000 N3 = 2000 18 Computer Science Statistics 4 16 5 (a) Find a point estimate for u. Show all the steps. Circle the final answer. (b) Find a point estimator for the total study hours per week for statistics students. Show all the steps. Circle the final answer. (c) Find the overall sample size n to estimate u with a bound on the error of estimation equal to 2 hours using Neyman allocation. Show all the steps. Circle the final answer. (d) Use part (c) to find the sample size allocated to Computer Science? Show all the steps. Circle the final