You have been asked to select a sample of manufacturing firms using the sampling frame below. This also lists the value of their annual output in tens of thousands of pounds over the past year. To help you in selecting your sample the firms have been numbered from 1 to 100.
a. Select two simple random samples, each of 20 firms, and mark those firms selected for each sample on the sampling frame.
b. Describe and compare the pattern on the sampling frame of each of the samples selected.
c. Calculate the average (mean) annual output in tens of thousands of pounds over the past year for each of the samples selected.
d. Given that the true average annual output is £6,608,900, is there any bias in either of the samples selected?

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1 2 3 4 LO 5 6 7 Output 7 Output 10 21 57 22 149 23 205 24 163 25 1359 26 1440 330 27 390 Output 29 84 97 265 187 46 1872 47 41 92 42 105 43 157 44 214 45 61 62 63 64 65 66 454 67 Output 39 73 81 82 161 83 275 84 170 85 1598 86 378 87 Output 55 66 165 301 161 1341 431