A sample of n = 900 is to be allocated to four strata in a survey using stratified random sampling. The following contains information for solving the allocation problem. Stratum CA 2000 10 3000 15 1000 30 3000 20 The stratum population variances S, for h = 1, 2, 3,4 are unknown, but it is believed that the population standard deviation of stratum 1 is twice as large as that of stratum 2, and strata 2, 3 and 4 have the same standard deviation, i.e., S1 = 252 and S2 = $3 = $4. Determine the sample sizes no for h = 1, 2, 3, 4 given by proportional allocation, Neyman allocation and optimal allocation