Consider a small population consisting of N = 8 students with the following exam grades: Y, 72, 74, Y-76, Y-77, Y, 81, Y-84, Y,

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Consider a small population consisting of N = 8 students with the following exam grades: Y, 72, 74, Y-76, Y-77, Y, 81, Y-84, Y, = 85, Y = 91 d)(i) Compute the sampling variance of the sample means obtained in c) by computing Vy)= S n (-), where S is the number of samples of size n = 2 selected from the N = 8 elements in the population, and the s subscript represents the different samples. (ii) Compare this result to the estimated sampling variance V 1- S. S= the population element variance (iii) Compare this result to the sampling variance of the mean estimated directly from one sample realization of size n = 2, i.e., estimate of the SRS variance for the mean of samples of size n = 2 = the element variance of y's in the sample realization of size n = 2. " (F) = (1-1) s