2. (Extracts of data from Sunday Telegraph, 1/11/87, Who earns what where") The following table records the average annual salaries (in sterling pounds) earned by five different occupations in three different countries. teacher coal miner solicitor nurse policeman 9756 U.K. 12000 10920 22000 7820 U.S.A. 16780 15250 16749 61350 14675 Australia 12427 12998 13721 11604 9468 An EXCEL spreadsheet containing the above data is available on Moodle. The International Nurses' Union protested against nurses' low pay relative to other professions. A randomized block design model is proposed for the above data and used to assess whether there are good grounds for the nurses' protest. (a) Which factor would you use for blocking in the model? Why? (b) Compile an ANOVA table for the model. (c) Test for the effects due to occupation. (d) By constructing a confidence interval for one suitably chosen contrast, compare the average annual salaries earned by nurses and by workers of the other four occupations. Would you support the nurses' cause? (e) By constructing a confidence interval for one suitably chosen contrast, compare the average annual salaries earned by Sunday workers (policeman, coal miner, nurse) and non-Sunday workers (teacher, solicitor). A B C D E F G 1 Nm U.K U.S.A. Australia teacher 12000 16780 12427 policeman 9756 15250 12998 coal miner 10920 16749 13721 solicitor 22000 61350 11604 nurse 7820 14675 9468 2 3 4 5 6 7 8 9 2. (Extracts of data from Sunday Telegraph, 1/11/87, Who earns what where") The following table records the average annual salaries (in sterling pounds) earned by five different occupations in three different countries. teacher coal miner solicitor nurse policeman 9756 U.K. 12000 10920 22000 7820 U.S.A. 16780 15250 16749 61350 14675 Australia 12427 12998 13721 11604 9468 An EXCEL spreadsheet containing the above data is available on Moodle. The International Nurses' Union protested against nurses' low pay relative to other professions. A randomized block design model is proposed for the above data and used to assess whether there are good grounds for the nurses' protest. (a) Which factor would you use for blocking in the model? Why? (b) Compile an ANOVA table for the model. (c) Test for the effects due to occupation. (d) By constructing a confidence interval for one suitably chosen contrast, compare the average annual salaries earned by nurses and by workers of the other four occupations. Would you support the nurses' cause? (e) By constructing a confidence interval for one suitably chosen contrast, compare the average annual salaries earned by Sunday workers (policeman, coal miner, nurse) and non-Sunday workers (teacher, solicitor). A B C D E F G 1 Nm U.K U.S.A. Australia teacher 12000 16780 12427 policeman 9756 15250 12998 coal miner 10920 16749 13721 solicitor 22000 61350 11604 nurse 7820 14675 9468 2 3 4 5 6 7 8 9