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A survey is to be conducted among a group of farmers involved in the cultivation of a new maize variety. There are a total of 800 farmers which constitute the target population. The study requires the selection of a sample of 32 farmers from the target population. Using systematic random sampling technique, select an actual sample stating clearly your sampling frame and the units selected into the sample.A random sample of size n = 150 is to be selected from a target population of size N = 2500. This target population is divided into four strata as shown below: Stratum 1 2 3 4 Stratum size 400 600 800 700 Standard deviation 5 9 6 4 (a) Determine the sample size for each stratum if the sample is to be drawn using stratified random sampling with: (i) proportional allocation; (ii) optimum allocation with fixed cost. By using the various strata means: X1 = 64, X2 = 72, X3 = 82, X4 = 76, and the strata sizes given above, determine the population stratified mean Xst, and hence determine the 95% confidence limits for the population mean.Using a population of size N = 5 comprising the values 24, 21, 18, 27, 15, from which a random sample of size n = 3 is to be selected, determine all the possible samples of size 3 which can be drawn from the population