1) Using the standard result for the sampling variance of a total using SRSWOR what is the expected RSE on the estimated total based on the design variable X? Assume that the sample size is six. 2) What is the actual RSE for the total of Y assuming SRSWOR and a sample size is six? Comment on any difference with what the design-variable X indicated the RSE would be.

Population Data Sex Elephant (1 = male, 2 = female) 1 1 2 2 3 2. 4 1 5 1 6 1 7 2 8 2 9 1 10 2 1 12 2 13 2 14 1 15 2 16 1 17 1 18 1 19 2 20 2 X (kg) 3,700 2,600 3,000 5,900 4,800 5,000 4,700 2,400 6,500 4,200 6,200 4,200 2,400 6,300 2,400 5,100 4,100 5,700 2,700 2,400 Y (kg) 3,949 2,602 2,918 5,831 5,534 5,545 4,458 2,930 6,827 3,451 6,116 4,392 2,042 6,405 3,215 4,514 5,754 6,341 2,559 2,449 Sample 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 11 2 Population Data Sex Elephant (1 = male, 2 = female) 1 1 2 2 3 2. 4 1 5 1 6 1 7 2 8 2 9 1 10 2 1 12 2 13 2 14 1 15 2 16 1 17 1 18 1 19 2 20 2 X (kg) 3,700 2,600 3,000 5,900 4,800 5,000 4,700 2,400 6,500 4,200 6,200 4,200 2,400 6,300 2,400 5,100 4,100 5,700 2,700 2,400 Y (kg) 3,949 2,602 2,918 5,831 5,534 5,545 4,458 2,930 6,827 3,451 6,116 4,392 2,042 6,405 3,215 4,514 5,754 6,341 2,559 2,449 Sample 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 11 2