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Suppose we are interested in the average net sales (in millions of dollars) for a population of 37 companies that manufacture computer equipment : (1)

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Suppose we are interested in the average net sales (in millions of dollars) for a population of 37 companies that manufacture computer equipment : (1) 42. 88 (2) 43.36 (3) 9. 08 (4) 40.94 (5) 80.72 (6) 253 . 20 (7) 103.19 (8) 2869.35 (9) 196.32 (10) 193.34 (11) 18.99 (12) 30.90 (13) 3009.49 (14) 35.52 (15) 21.22 (16) 90. 48 (17) 17.33 (18) 7.96 (19) 7.94 (20) 5.21 (21) 6.58 (22) 8.75 (23) 39.98 (24) 17.66 (25) 17.47 (26) 7.30 (27) 4.59 (28) 6.03 (29) 29.93 (30) 21.64 (31) 29.50 (32) 20.52 (33) 8.43 (34) 58.08 (35) 35.52 (36) 21. 13 (37) 29.83 i) Suppose that a sample SYS 1-among-7 is taken from this population in order to estimate total sales. If the first company selected is the third in the list, what is the sample? ii) Describe the sampling plan of part i) in terms of cluster sampling. iii) Following the answer to part ii), explain the difficulty encountered when calculating the sampling variance of the design described in number i). iv) Assuming that the systematic sample taken in i) can be treated as an SRS, give a 95% C.I. of total net sales for the year 2000

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