The following data are for Y=the number of employees (in thousands) in 30 industrial companies. (a) Calculate the relative efficiency of systematic sampling versus simple random sampling when the sample size is 3. (b) Determine the effect of reversing the order of the data in the y-column on the efficiency calculated in (a).

Compagnie y Compagnie y Compagnie y 1 1,1 11 0,35 21 4.5 2 0,5 12 0,21 22 3,25 3 2,02 13 1,09 23 1,6 4 0,6 14 4,05 24 1,85 5 0,9 15 3,2 25 0,95 67 6 0,4 16 1,7 26 0,65 7 0,7 17 2,2 27 0,72 9 88 1,2 18 1,6 28 0,92 0,8 19 2,8 29 2,2 10 0,19 20 2,4 30 1,72