2. Suppose you want to estimate the mean height of seedlings in a large field. The field is divided into 50 plots of varying size. The seedling heights appears to be fairly homogeneous within each 1 3 plot but may vary from plot to plot. Therefore, you decide to use two-stage cluster sampling. There are a total of 2600 seedlings in the field. Plot Total Number of Height of number of seedlings seedlings seedlings sampled (in inches) 1 52 5 12,11,12,10,13 2 56 6 10,9,7,9,8,10 3 60 6 6,5,7,5,6,4 4 46 5 7,8,7,7,6 49 5 10,11,13,12,12 6 51 5 14,15,13,12,13 7 50 5 6,7,6,8,7 8 61 6 9,10,8,9,9,10 60 6 7,10,8,9,9,10 10 45 6 12,11,12,13,12,12 5 8 9 a. Estimate the population mean seedling height and place a bound on the error of estimation. b. Estimate the population total seedling height and place a bound on the error of estimation