Consider the following artificial population of size 24 37 44 49 44 48 48 35 51 44 49 42 42 46 48 54 37 55 37 46 37 37 50 51 47 List all possible systematic samples for k = 5 and show that the systematic sample mean is an unbiased estimator of the population mean. Also, compute the variance of the systematic sample mean.