Question: Consider a population of size N = 20 such that y = a + bi, i = 1,..., 20, for some positive constants a

Consider a population of size N = 20 such that y =

Consider a population of size N = 20 such that y = a + bi, i = 1,..., 20, for some positive constants a and b. Such a population is said to have a linear trend. We consider systematic samples of size n = 4. (a) Show that the variance of ty under systematic sampling is equal to 8006. (b) Show that the variance of ty under simple random sampling without replacement is equal to 28006.

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