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You have been asked to select a 10% sample of firms from the sampling frame below OUTPUT ($'0000) OUTPUT ($'0000) OUTPUT ($'0000) OUTPUT ($'0000) OUTPUT

You have been asked to select a 10% sample of firms from the sampling frame below

OUTPUT

($'0000)

OUTPUT

($'0000)

OUTPUT

($'0000)

OUTPUT

($'0000)

OUTPUT

($'0000)

0 1163 20 1072 40 1257 60 1300 80 1034
1 10 21 7 41 29 61 39 81 55
2 57 22 92 42 84 62 73 82 66
3 147 23 105 43 97 63 161 83 165
4 205 24 157 44 265 64 275 84 301
5 163 25 214 45 187 65 170 85 161
6 1359 26 1440 46 1872 66 1598 86 1341
7 330 27 390 47 454 67 378 87 431
8 2097 28 1935 48 1822 68 1634 88 1756
9 1059 29 998 49 1091 69 1101 89 907
10 1037 30 1298 50 1251 70 1070 90 1158
11 59 31 10 51 9 71 37 91 27
12 68 32 70 52 93 72 88 92 66
13 166 33 159 53 103 73 102 93 147
14 302 34 276 54 264 74 157 94 203
15 161 35 215 55 189 75 168 95 163
16 1298 36 1450 56 1862 76 1602 96 1339
17 329 37 387 57 449 77 381 97 429
18 2103 38 1934 58 1799 78 1598 98 1760
19 1061 39 1000 59 1089 79 1099 99 898

Required: a) Select a 10% systematic sample and mark those firms selected for the sample on the sampling frame. b) Calculate the average (mean) annual output in tens of thousands of dollars over the past year for each of the samples selected. c) Given that the true average annual output is $6,608, 900, why does systematic sampling provide such a poor estimate of the annual output in this case?

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