STAT6202: Introductory Statistical Methods 2009 Answer ALL questions. Section A accounts for 54% of the total weight. The numbers in square brackets add to 100 over the whole paper and indicate the relative weight attached to each part question. Marks will not only be given for the final (numerical) answer but also for the clarity of your answer. As such, make sure to write down your workings, e.g. formulae, calculations, reasoning. You may consult your notes. Time allowed: 212 hours. Section A A1 Here is a table of the unemployment rates (percent of the working population aged 15 to 64) for men and women in the 15 countries of the European Union (EU) in 1998 (Source: A community of fifteen: Key figures. Report by the European Commission, 2000). Also given are boxplots and dotplots of these data. Bel DK Ger Gre Spa Fra Irl Ita Lux NL Aust Por Fin Swe UK Men 7.7 3.9 8.9 7.8 13.8 9.9 8.0 9.4 2.0 3.0 3.9 3.9 10.8 8.6 7.0 Women 11.9 6.5 10.2 17.4 26.6 13.8 7.6 16.7 4.2 5.2 5.6 6.1 12.0 8.0 5.5 0 5 10 15 20 25 30 Unemployment rate (%) Men Women 0 5 10 15 20 25 30 urw urm 0 5 10 15 20 25 30 Unemployment rate (%) Men Women (a) Describe briefly what each of the above graphs shows. Which is more informative and why? [6] (b) Suggest another type of plot that would be more suitable than either of the above for comparing unemployment rates for men and women in these countries. Do not draw this plot but explain why it is more appropriate. [4] (c) What additional information would you need in order to calculate the overall percentages of unemployed men and women in the EU? Without having this information, can you nevertheless state whether the overall unemployment rates for men and women in the EU were higher or lower than those for Japan in 1998, which were 4.2% for men and 4.0% for women? [4] (d) Suggest what other information or data might allow us to make more interesting comparisons between the unemployment rates of men and women in the different countries of the EU. [2]…