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Unformatted text preview: STAT6202 Exercises 2 1. Here are some five-figure summaries of the distributions of weekly earnings (in pounds sterling) of all full time male and female workers in Britain in 1982. These are from the annual New Earnings Survey. Note that this survey reports upper and lower deciles, rather than upper and lower extreme values. Lower Lower Upper Upper decile quartile Median quartile decile Men 89.7 109.9 139.1 180.5 233.8 Women 60.2 71.7 90.0 116.5 152.0 (a) Make box-plots of these two distributions on a common scale. Label your figure informatively, write a suitable caption, and write a brief comment. (b) The median weekly earnings in 1982 of full time workers in the USA were $370 for men and $240 for women. Based on these limited data, make a sensible comparison between earnings for men and women for the two countries. (c) The New Earnings Survey reports similar information for various sub-categories of workers. What sub-categories might provide interesting comparisons between earnings for men and women? Why might these be more sensible than the comparison in (a)? 2. The data presented below as back to back stem and leaf plots are serum cholesterol levels (in mg/l) for men from two socio-economic groups in Guatemala: 45 high income urban men and 49 low income rural men. The leaf unit is 1 mg/l....
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- Spring '11