Table

This question concerns systematic random sampling from the "Sampling Department staff list' given in Table 1 of Unit 4 (Section 2). Suppose you want to interview roughly one-tenth of the 86 staff. You are going to choose a systematic random sample from that list using the random number table provided in the appendix to Unit 4, using row 4. (a) Use the pairs of digits in row 4 (from left to right) of the random number table to identify which of the first 10 people listed in the table you should use as the starting point for your systematic sample. Write down the label and name of the person you will start with. (b) Select the rest of the sample and write down the labels of the people selected in the order that they were selected. (c) List the names of all the sampled individuals in the order in which they were chosen, along with their gender and occupation. (d) Comment on the representativeness of the sample with respect to occupation, assuming that the full staff list in Table 1 of Unit 4 is the population. MB & MB Bus Bmapsus Name Alicante Nodc, Alphonso Andrews, Jouni Areher, Simon nincss, Tom Baker, Pred Bales, Sheila Baxter, John Best, John Bidford, David Bond, Mick Bramley, Max Burroughs, Sean Cameron, Lynne Carter, lane Chapman, L. Clark, Rowenn Clarke, Jim Cluskie, Alex Chumer, Will Crolls, Dennis Crolls, Mary Crosman, Kim Daley, Stuart Dumper, Emma Dev, Mohen isenstein, Hert Eric, Steve Postover, Matthew Hallow, Jim Flint, Cenud Foster, Sue Franks, Abraham Cowan, lai Crnham, Blert Craham, Will Crant, Lynne Cray, Chris Crenson, Denise Crewny, Maggie Hallow, Joan Tare, Dorothy Harrison, Sheila Hewitt, Ray Label Declared gender Option 01 M M 02 F P M M M P M P S M P M P M P 10 M P 11 M P 12 M P 13 F P 14 F P F M 16 F 17 M 18 M P M P 20 M P F M M P F S M P 26 M P 27 M P M P M P M P 31 F S 32 M P 33 M P 34 M P M P 36 F P 37 M P 38 F A 39 F P 40 F 41 F P F P 43 M P 21 30 nu = .P - Professional, Administrative, S - Secretarial, M - Manual 50 Name Hopkins, lane Howe, Phil Hutton, Joan Iron, Donald James, Patricia Jolly, Susan Kapoor, Sushi Lang, Chris Light, Phil Lake, Carol London, Pred Lupton, David McCarthy, Keith Memig, Frank Masterton, Dick Menton, Christine Menton, Petr Munn, Sharon Ncilisen, Rob Ostorley, Rebe Patel, Deepak Pinder, Andrew Redman, Cuy Redstar, Pramda Rind, Den Roberts, Christine Rowan, George Sandford, Dave Shah, Anjali Singh, Meer Suruford, Peter Thomarun, Anna Thompson, Jack Trumpington, Pat Trusel, Karen Turner, Richard Tyndale, ale Watson, Pennor Wilton, Larrie Winston Chuck Woodhouse, Paul Wu, CC Yes, Thorn Labe Declared gendes Occupation 44 F A M P 46 F S 47 M P 18 F A 19 P S M P 51 M P M P F S 51 M P M P SG M P ST M P M P 59 F S M P F P M P F S 64 M P M P GG M P G7 F S M P F S 70 M P 71 M P F S 73 F S 74 M P 75 F S 7G M P F S F S 79 M P 20 F S 81 F P F P 83 M P 81 M M F M F A muuWWmnwwwmwww8% +P - Professional, A- Administrative, S - Secretarial, M-Manunl Appendix: random number table This table contains 3000 mndum digits (le throws of a tenslied die Inbelled 0, 1, ---,9). 1 980577461661 998081 620481236 51646021 124160 046293 45212 700 2 112366 21166 11331 183641 231870 52 647541 1707 01298 419316 56460 685871 29205 948448 9296.32 230060 3 9682 676148 917485 440 30980 47827 76610 I2091 351987 122123 56 82614 586 02 1961 193019 5507511 38188129872 290441 23-6389 65 616540 292147 208991904667 40315 671 37209 1867:32 572957 25868 38 928033 292196 243316 8043 20 33600 782464474074 3087402863 33890 67 4621 0256-40 21317 71320 367190 41013 ET4178 6292 44219 823179 58 40902 66375 24793 2161 29 960001 9 306122 21289 38289 22903 721 190317 814 703312 618 630862 10 730903 2002 -19.45 467042626342 60 873868 9198 6592 2079 20931 11 6641 63 151724 K25185 18366 95796 61208520 10821 38 4060 910732 12 70 1021127189 148064 32817 3 62 03163 16900 1877 18912 705099 13 305947790 01 9929 482861 937 IT B 1222861 19562 9601 289621 14 7581 1692 289045 21297 6441 70 B4 1105 378 6673 803817 449981 16 72220581999 577384 385776 790865 es 41689 1986 56821223400 286520 16 4797 61730 9888 12 3 7 1745 68 731904132936981094607121082 17 9870 1400 167212 12046 910144 67 2064 0266 1667 9045 586266 19 647177 00 610260 51361373 68 32316 307538 80026 02100 814090 19 1312 840 777 328030 229096 19 98367 08206 192486 24304 06 20 5970686719 1209 12:1521 9814 TO 1000 9165 609401 83916 4243 21 28120 2730 21:29 047769 787699 Ti 28210 1604028707 13 107491839 22 2023 1899 79273 309714726482 T2 793 093 612 12 76 806 314682 23 48.3890 792561 504187783113 81534 T 616 17 2419 191481 689127 83408 24 619166 68 10 40-47-41715681 DO 307 74 4199 20 72 7033965 17 17 7037 817521 26 454026 202727 21535 275187 189130 TS 10 3 162 9291200101 63382 26 2027 20227 98 1062 6107:30 014097 T6739776 91 9207 248941 98.391 965282 27 6921 01 021722372 7146.39 214619 TY 1174100138602994 610211618635 28 638025173609 731921 2193 10 045 T8 919139 874 40252 56 28 14492 29 11.30 1965 12 338776642262 6 6188 T9 12 108 11 3168 68655890173 98.3682 30 681266146061 20692 912152 713719 80 273 62180633 61241 32 1612 31527778 335577808 II 180423 127246 81232751 9171143705 DO 06.12.31 598986 3219092 24196 71531 801723 05647 82 770 623399 26679 727716 022896 33152516 6328 620872 117417 33709 808 1998 588 02057 2173010779 34 128118 089 03231 827992 100871 84 108352 60628 52812198360927110 36 5910 9241417.38 1024 12888 SS163 826370 638271 487282 773706 36 185617 74424) 19:17 18:1747 27808 86 214174 608 73 8294 72 226792 147431 37 288701 5167.12 0077.30 16:3106 6727) 87 990907 779 170778 379068 61 1597 39 832 37 129192 1609 07184 11:44 88 2002 20874 57213999116 634099 391209 73 086172 02391 7699 29-18 89 9191 81217713921 3105 & 874421 40 647493668 9995637808 83187 901091640886 507 508231127880 41 7745 18 38240 7620 95-1064 736744 91 917253880 19 190937 174099 02319 12 0609727568 99 1490 3260310071 92 2182K2 2006 760927 407829 990722 43 II III II 785662 038734 18 1242 93 21 0208250736419 21.306 307699 44 09.3087 33 12:37 967907 33721 740847 94 80223135262 639194 5612 311865 do 02.3041 683461 387501402287781901 94592429652203991604531 067786 46 14457430529777 1320 688714 9.30 96 1817 917151142822 66212 316609 47 8245 021588401 74631215-4704 97 801711213707 00779 1196 72 16741 19 14.0194 987 200 17 10042 0966 98 712 99006 180281 58.3890 816341 49 960026 826022 626069 930967 I 1201 99 7899918 98601 4021 60 20676 127716 780435 8935 712849 100 2021 20706 559 146119 01076 This question concerns systematic random sampling from the "Sampling Department staff list' given in Table 1 of Unit 4 (Section 2). Suppose you want to interview roughly one-tenth of the 86 staff. You are going to choose a systematic random sample from that list using the random number table provided in the appendix to Unit 4, using row 4. (a) Use the pairs of digits in row 4 (from left to right) of the random number table to identify which of the first 10 people listed in the table you should use as the starting point for your systematic sample. Write down the label and name of the person you will start with. (b) Select the rest of the sample and write down the labels of the people selected in the order that they were selected. (c) List the names of all the sampled individuals in the order in which they were chosen, along with their gender and occupation. (d) Comment on the representativeness of the sample with respect to occupation, assuming that the full staff list in Table 1 of Unit 4 is the population. MB & MB Bus Bmapsus Name Alicante Nodc, Alphonso Andrews, Jouni Areher, Simon nincss, Tom Baker, Pred Bales, Sheila Baxter, John Best, John Bidford, David Bond, Mick Bramley, Max Burroughs, Sean Cameron, Lynne Carter, lane Chapman, L. Clark, Rowenn Clarke, Jim Cluskie, Alex Chumer, Will Crolls, Dennis Crolls, Mary Crosman, Kim Daley, Stuart Dumper, Emma Dev, Mohen isenstein, Hert Eric, Steve Postover, Matthew Hallow, Jim Flint, Cenud Foster, Sue Franks, Abraham Cowan, lai Crnham, Blert Craham, Will Crant, Lynne Cray, Chris Crenson, Denise Crewny, Maggie Hallow, Joan Tare, Dorothy Harrison, Sheila Hewitt, Ray Label Declared gender Option 01 M M 02 F P M M M P M P S M P M P M P 10 M P 11 M P 12 M P 13 F P 14 F P F M 16 F 17 M 18 M P M P 20 M P F M M P F S M P 26 M P 27 M P M P M P M P 31 F S 32 M P 33 M P 34 M P M P 36 F P 37 M P 38 F A 39 F P 40 F 41 F P F P 43 M P 21 30 nu = .P - Professional, Administrative, S - Secretarial, M - Manual 50 Name Hopkins, lane Howe, Phil Hutton, Joan Iron, Donald James, Patricia Jolly, Susan Kapoor, Sushi Lang, Chris Light, Phil Lake, Carol London, Pred Lupton, David McCarthy, Keith Memig, Frank Masterton, Dick Menton, Christine Menton, Petr Munn, Sharon Ncilisen, Rob Ostorley, Rebe Patel, Deepak Pinder, Andrew Redman, Cuy Redstar, Pramda Rind, Den Roberts, Christine Rowan, George Sandford, Dave Shah, Anjali Singh, Meer Suruford, Peter Thomarun, Anna Thompson, Jack Trumpington, Pat Trusel, Karen Turner, Richard Tyndale, ale Watson, Pennor Wilton, Larrie Winston Chuck Woodhouse, Paul Wu, CC Yes, Thorn Labe Declared gendes Occupation 44 F A M P 46 F S 47 M P 18 F A 19 P S M P 51 M P M P F S 51 M P M P SG M P ST M P M P 59 F S M P F P M P F S 64 M P M P GG M P G7 F S M P F S 70 M P 71 M P F S 73 F S 74 M P 75 F S 7G M P F S F S 79 M P 20 F S 81 F P F P 83 M P 81 M M F M F A muuWWmnwwwmwww8% +P - Professional, A- Administrative, S - Secretarial, M-Manunl Appendix: random number table This table contains 3000 mndum digits (le throws of a tenslied die Inbelled 0, 1, ---,9). 1 980577461661 998081 620481236 51646021 124160 046293 45212 700 2 112366 21166 11331 183641 231870 52 647541 1707 01298 419316 56460 685871 29205 948448 9296.32 230060 3 9682 676148 917485 440 30980 47827 76610 I2091 351987 122123 56 82614 586 02 1961 193019 5507511 38188129872 290441 23-6389 65 616540 292147 208991904667 40315 671 37209 1867:32 572957 25868 38 928033 292196 243316 8043 20 33600 782464474074 3087402863 33890 67 4621 0256-40 21317 71320 367190 41013 ET4178 6292 44219 823179 58 40902 66375 24793 2161 29 960001 9 306122 21289 38289 22903 721 190317 814 703312 618 630862 10 730903 2002 -19.45 467042626342 60 873868 9198 6592 2079 20931 11 6641 63 151724 K25185 18366 95796 61208520 10821 38 4060 910732 12 70 1021127189 148064 32817 3 62 03163 16900 1877 18912 705099 13 305947790 01 9929 482861 937 IT B 1222861 19562 9601 289621 14 7581 1692 289045 21297 6441 70 B4 1105 378 6673 803817 449981 16 72220581999 577384 385776 790865 es 41689 1986 56821223400 286520 16 4797 61730 9888 12 3 7 1745 68 731904132936981094607121082 17 9870 1400 167212 12046 910144 67 2064 0266 1667 9045 586266 19 647177 00 610260 51361373 68 32316 307538 80026 02100 814090 19 1312 840 777 328030 229096 19 98367 08206 192486 24304 06 20 5970686719 1209 12:1521 9814 TO 1000 9165 609401 83916 4243 21 28120 2730 21:29 047769 787699 Ti 28210 1604028707 13 107491839 22 2023 1899 79273 309714726482 T2 793 093 612 12 76 806 314682 23 48.3890 792561 504187783113 81534 T 616 17 2419 191481 689127 83408 24 619166 68 10 40-47-41715681 DO 307 74 4199 20 72 7033965 17 17 7037 817521 26 454026 202727 21535 275187 189130 TS 10 3 162 9291200101 63382 26 2027 20227 98 1062 6107:30 014097 T6739776 91 9207 248941 98.391 965282 27 6921 01 021722372 7146.39 214619 TY 1174100138602994 610211618635 28 638025173609 731921 2193 10 045 T8 919139 874 40252 56 28 14492 29 11.30 1965 12 338776642262 6 6188 T9 12 108 11 3168 68655890173 98.3682 30 681266146061 20692 912152 713719 80 273 62180633 61241 32 1612 31527778 335577808 II 180423 127246 81232751 9171143705 DO 06.12.31 598986 3219092 24196 71531 801723 05647 82 770 623399 26679 727716 022896 33152516 6328 620872 117417 33709 808 1998 588 02057 2173010779 34 128118 089 03231 827992 100871 84 108352 60628 52812198360927110 36 5910 9241417.38 1024 12888 SS163 826370 638271 487282 773706 36 185617 74424) 19:17 18:1747 27808 86 214174 608 73 8294 72 226792 147431 37 288701 5167.12 0077.30 16:3106 6727) 87 990907 779 170778 379068 61 1597 39 832 37 129192 1609 07184 11:44 88 2002 20874 57213999116 634099 391209 73 086172 02391 7699 29-18 89 9191 81217713921 3105 & 874421 40 647493668 9995637808 83187 901091640886 507 508231127880 41 7745 18 38240 7620 95-1064 736744 91 917253880 19 190937 174099 02319 12 0609727568 99 1490 3260310071 92 2182K2 2006 760927 407829 990722 43 II III II 785662 038734 18 1242 93 21 0208250736419 21.306 307699 44 09.3087 33 12:37 967907 33721 740847 94 80223135262 639194 5612 311865 do 02.3041 683461 387501402287781901 94592429652203991604531 067786 46 14457430529777 1320 688714 9.30 96 1817 917151142822 66212 316609 47 8245 021588401 74631215-4704 97 801711213707 00779 1196 72 16741 19 14.0194 987 200 17 10042 0966 98 712 99006 180281 58.3890 816341 49 960026 826022 626069 930967 I 1201 99 7899918 98601 4021 60 20676 127716 780435 8935 712849 100 2021 20706 559 146119 01076