Question
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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