Math 533 Essay Example

Math 533 Essay 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Team League (American 1, National 0) Built (Year Stadium Was Built) Size (Stadium Capacity) Salary (Total 2000 Team Salary $ Mil) Attendance (Total 2000 Team Attendance) Wins (Number of Wins in 2000) ERA (Earned Run Average) Batting (Team Batting Average) HR (Number of Home Runs for the Team) Surface (Natural 0, Artificial 1) Stolen (Stolen Bases) Errors (Team Errors) Year Average (Average Player Salary) Median (Median Player Salary) x1 Team Boston New York Yankees Oakland Baltimore Anaheim Cleveland Chicago Toronto Minnesota Tampa Bay Texas Detroit Seattle Kansas City Atlanta Arizona Houston Cincinnati New York Mets Pittsburgh Los Angeles San Diego Montreal San Francisco St. Louis Florida Philadelphia Milwaukee Chicago Cubs Colorado x2 League 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 x3 Built 1912 1923 1966 1992 1966 1994 1991 1989 1982 1990 1994 2000 1999 1973 1993 1998 2000 1970 1964 1970 1962 1967 1976 1900 1966 1987 1971 1953 1914 1995 x4 Size 33,871 57,746 43,662 48,262 45,050 43,368 44,321 50,516 48,678 44,027 52,000 40,000 45,611 40,529 50,062 49,075 42,000 52,953 55,775 47,972 56,000 53,166 46,500 40,800 49,625 42,531 62,411 43,000 38,957 50,381 x5 Salary 93. 9 113. 4 33. 0 59. 2 58. 7 78. 7 36. 9 54. 6 15. 8 55. 2 61. 4 60. 6 62. 6 24. 5 95. 0 80. 8 52. 0 35. 1 89. 7 31. 9 94. 2 54. 7 28. 0 54. 2 72. 4 25. 9 36. 7 33. 8 51. 1 56. 0 x6 Attendance 2,585,895 3,227,657 1,728,885 3,297,031 2,066,982 3,456,278 1,947,799 1,819,919 1,059,415 1,479,782 2,800,075 2,533,753 3,148,317 1,677,915 3,234,304 2,819,539 3,056,139 2,577,371 2,820,530 1,748,908 3,011,539 2,423,149 926,272 3,318,800 3,336,493 1,218,326 1,612,769 1,573,621 2,789,511 3,295,129 x7 Wins 85 87 91 74 82 90 95 83 69 69 71 79 91 77 95 85 72 85 94 69 86 76 67 97 95 79 65 73 65 82 Tables and Data Sets 267 Appendix D Data Set 2 — Major League Baseball (continued) x1 Row 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 x7 Wins 5 87 91 74 82 90 95 83 69 69 71 79 91 77 95 85 72 85 94 69 86 76 67 97 95 79 65 73 65 82 x8 ERA 4. 23 4. 76 4. 58 5. 37 5. 00 4. 84 4. 66 5. 14 5. 14 4. 86 5. 52 4. 71 4. 49 5. 48 4. 05 4. 35 5. 42 4. 33 4. 16 4. 94 4. 10 4. 52 5. 13 4. 21 4. 38 4. 59 4. 77 4. 63 5. 25 5. 26 x9 Batting 0. 267 0. 277 0. 270 0. 272 0. 280 0. 288 0. 286 0. 275 0. 270 0. 257 0. 283 0. 275 0. 269 0. 288 0. 271 0. 265 0. 278 0. 274 0. 263 0. 267 0. 257 0. 254 0. 266 0. 278 0. 270 0. 262 0. 251 0. 246 0. 256 0. 294 x10 HR 167 205 239 184 236 221 216 244 116 162 173 177 198 150 179 179 249 200 198 168 211 157 178 226 235 160 144 177 183 161 11 Surface 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 x12 Stolen 318 182 184 208 202 218 158 198 128 228 130 110 164 236 198 204 222 162 266 202 212 212 246 194 138 208 154 172 188 204 x13 Errors 109 109 134 116 134 72 133 100 102 118 135 105 99 102 129 107 133 111 118 132 135 141 132 93 111 125 100 118 100 94 Team Boston New York Yankees Oakland Baltimore Anaheim Cleveland Chicago Toronto Minnesota Tampa Bay Texas Detroit Seattle Kansas City Atlanta Arizona Houston Cincinnati New York Mets Pittsburgh Los Angeles San Diego Montreal San Francisco St. We will write a custom essay sample on Math 533 specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on Math 533 specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on Math 533 specifically for you FOR ONLY $16.38 $13.9/page Hire Writer Louis Florida Philadelphia Milwaukee Chicago Cubs Colorado 268 Appendixes Appendix D Data Set 2 — Major League Baseball (concluded) x14 Row 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Year 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 x15 Average 52,300 74,000 97,800 121,900 146,500 196,500 245,000 289,000 325,900 368,998 410,517 402,579 430,688 489,539 589,483 845,383 1,012,424 1,062,780 1,154,486 1,094,440 1,101,455 1,314,420 1,384,530 1,567,873 1,983,849 16 Median * * * * * * * 207,500 229,750 265,833 275,000 235,000 235,000 280,000 350,000 412,000 392,500 371,500 450,000 275,000 300,000 400,000 427,500 495,000 700,000 Tables and Data Sets 269 Appendix E Data Set 3 — OECD x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x1 Australia Austria Belgium Canada Czech Republic Denmark Finland France Germany Greece Hungary Iceland Ireland Italy Japan Korea Luxembourg Mexico Netherlands New Zealand Norway Poland Portugal Spain Sweden Switzerland Turkey United Kingdom United States Country G7 Member (1 Yes, 0 No) Total area of country in thousand square kilometers Population in thousands Percent of population over 65 years of age Exchange rate per U. S. dollar Gross Domestic Product at current exchange rate in billions of dollars Energy use in millions of tons of oil equivalent Index of total manufacturing (1900 Total labor force in thousands Region (1 x2 0 0 0 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 100) Far East, 2 x3 7,687 84 31 9,976 79 43 338 549 357 132 93 103 70 301 378 98 3 1,973 41 269 324 313 92 505 450 41 781 245 9,373 Europe, 3 x5 12. 1 15 16. 1 12. 2 13. 4 15. 1 14. 4 15. 15. 8 15. 8 14. 2 11. 4 11. 5 15. 8 14. 5 6. 1 14. 2 4. 8 13. 3 11. 6 15. 9 11. 3 14. 8 15. 6 17. 3 14. 9 4. 8 15. 7 12. 8 North America) x6 x7 390. 9 228. 7 268. 2 579. 2 56. 2 174. 9 125. 1 1,536. 6 235. 35 122. 4 44 7. 3 70. 7 1,243. 2 4,595. 2 484. 8 17 329. 4 396 65. 9 157. 8 134. 4 103. 6 584. 9 251. 7 294. 3 181. 5 1,153. 4 7,388. 1 x4 18,289 8,060 10,157 29,964 10,316 5,262 5,125 58,380 81,87 7 10,465 10,193 270 3,621 57,473 125,864 45,545 418 96,582 15,494 3,640 4,370 38,618 9,935 39,270 8,901 7,085 62,695 58,782 265,557 x8 100. 61 27. 19 56. 4 236. 17 40. 4 22. 87 31. 48 254. 349. 55 24. 39 25. 47 2. 27 11. 96 161. 14 510. 36 162. 87 3. 45 141. 38 75. 8 16. 3 23. 15 108. 41 19. 15 101. 41 52. 57 25. 62 65. 52 234. 72 2,134. 96 x9 109 111 108 112 117 121 98 97 98 x10 9,184 3,876 4,297 15,209 5,175 2,822 2,531 25,613 39,294 4,249 4,048 148 1,494 23,385 67,110 21,188 218 34,325 7,516 1,797 2,246 17,203 4,885 16,159 4,310 3,967 22,736 28,552 135,231 x11 1 2 2 3 2 2 2 2 2 2 2 2 2 2 1 1 2 3 2 1 2 2 2 2 2 2 2 2 3 1. 509 12. 51 36. 61 1. 426 34. 73 6. 771 5. 369 5. 955 1. 777 279. 6 201. 3 71. 71 0. 687 1743 129. 4 1477 8. 123 2. 004 1. 689 7. 25 3. 532 181. 5 150. 7. 785 1. 44 199,026 0. 603 1 175 104 98 163 100 118 109 119 115 97 103 121 103 129 102 118 270 Appendixes Appendix F Data Set 4 — Northwest Ohio School Districts x1 x2 x3 x4 x5 x6 x7 x8 x9 x1 Bluffton Shawne e Spencerville Delphos Elida Lima Northeastern Ayersville Defiance Hicksville Central Berlin-Milan Perkins Huron Margaretta Sandusky Kelleys Island Pettisville Wauseon Evergreen Archbold-Area Pike-Delta-York Gorham-Fayette Swanton Arlington Vanlue Liberty-Benton Van Buren Cory-Rawson Arcadia McComb Findlay Ada Kenton Liberty Center Patrick Henry Napoleon Area Holgate Monroeville Name of district Number of students Mean family income in the district ($) Mean property value in the district ($) Percent of families receiving welfare Mean salary of classroom teachers ($) Amount spent per pupil ($) Mean daily attendance Percent passing 12th grade proficiency exam x2 1,132 2,472 1,026 1,104 3,204 5,963 1,194 921 3,046 990 1,216 1,593 2,038 1,494 1,560 4,426 20 503 1,864 1,238 1,401 1,559 487 1,725 685 346 954 840 794 597 805 5,758 855 2,228 1,009 1,176 2,331 605 686 x3 4,487 29,777 23,161 21,792 24,446 18,394 26,428 28,228 23,812 22,448 24,189 25,223 25,586 27,135 23,849 19,529 19,854 25,079 23,408 23,826 26,706 23,396 22,405 24,596 26,175 24,709 28,718 28,964 23,904 24,305 23,754 24,269 23,029 20,418 24,723 23,061 25,304 23,962 22,942 x4 62,678 130,910 51,645 88,453 65,550 44,138 88,789 82,707 56,333 56,411 53,923 76,878 117,545 105,588 74,601 72,425 802,081 53,948 60,896 69,432 107,547 48,638 57,221 69,320 55,478 49,606 77,503 151,992 69,242 78,102 69,347 92,648 52,655 61,155 57,685 63,134 84,245 49,709 63,103 5 1. 8 2. 6 5. 4 6. 2 8. 9 33. 8 1. 7 3. 9 11. 2 7 4. 6 4 3. 3 4. 6 2. 8 25. 2 11. 4 3. 9 4. 9 5. 2 4. 1 6. 1 6. 9 6. 3 2. 7 4. 1 1. 5 1. 8 2. 4 2. 5 5. 7 7. 6 5. 3 13. 8 4. 1 5. 2 6. 6 6 4. 3 x6 31,221 34,860 30,155 32,273 32,876 33,142 30,919 32,850 34,750 34,224 34,430 32,166 39,352 33,433 37,084 36,042 27,144 31,159 32,499 32,353 35,982 31,310 33,166 33,690 31,821 28,411 30,330 33,447 31,241 30,738 28,986 35,879 28,479 30,907 30,904 31,895 32,773 31,324 30,838 x7 ,130 2,570 2,262 2,506 2,250 2,657 2,431 2,693 2,438 2,351 2,496 2,564 2,861 2,968 2,464 2,766 11,226 2,834 2,252 2,250 2,837 2,309 2,492 2,615 2,205 2,420 2,063 2,584 2,416 2,752 2,321 2,860 2,380 2,512 2,431 2,552 2,422 2,454 2,474 x8 95. 7 94. 7 95. 5 96. 5 94. 1 92. 3 96. 1 95. 6 94. 2 95. 7 94. 8 96. 1 95. 8 95. 4 95. 5 93 95 96. 1 95. 3 95 96. 2 94. 8 94. 6 94. 9 96. 5 96. 2 96. 7 96. 4 96. 4 95. 9 95. 9 94. 9 95. 9 93. 7 95. 8 95. 9 94. 6 94. 9 95. 8 x9 85 73 68 65 62 40 72 68 63 59 56 77 74 74 66 37 100 78 75 72 69 66 51 50 84 83 78 75 73 64 61 60 69 54 82 75 73 71 64 Tables and Data Sets 271 Appendix F Data Set 4 — Northwest Ohio School Districts (concluded) x1 Bellevue Willard Norwalk Ottawa Hills Anthony Wayne Sylvania Maumee Oregon Washington Springfield Toledo Benton Carroll Salem Danbury Genoa Port Clinton Put-in-Bay Paulding Ottoville Columbus Grove Kalida Continental Ottawa-Glandorf Pandora-Gilboa Leipsic Gibsonburg Lakota Fremont Woodmore Clyde–Green Springs Bettsville Seneca East Old Fort Hopewell-Loudon New Riegel Tiffin Fostoria Van Wert Edon-Northwest Milcreek–West Unity Bryan North Central Montpelier Edgerton Stryker Perrysburg Elmwood Bowling Green Otsego Northwood Eastwood Lake Rossford North Baltimore Upper Sandusky Carey 2 2,276 2,300 2,650 933 3,178 7,822 3,009 3,594 7,154 3,575 36,790 2,063 635 1,584 2,238 70 1,993 610 866 775 792 1,749 632 748 983 1,332 5,156 1,141 2,368 347 1,183 540 870 459 3,632 2,742 2,504 744 788 2,266 757 1,172 767 579 3,839 1,237 3,534 1,643 1,091 1,739 1,665 2,087 839 1,801 915 x3 4,025 23,304 21,551 45,723 29,215 32 ,114 27,604 24,525 23,507 26,048 21,079 23,899 21,325 25,321 20,941 19,266 22,677 24,128 23,562 24,456 23,625 25,363 23,806 20,941 23,312 22,678 22,327 26,460 23,854 22,103 22,656 23,208 22,103 23,314 21,246 20,809 22,728 23,035 21,302 22,607 21,871 20,787 22,429 24,084 32,773 22,179 21,307 24,614 25,905 25,043 23,559 25,360 22,075 21,063 21,658 x4 6,912 58,832 72,266 122,356 88,004 101,503 117,921 123,599 102,485 98,346 62,668 237,206 182,360 53,120 129,961 426,419 46,163 46,582 55,568 44,267 37,277 64,288 55,446 62,648 46,098 55,933 74,874 90,484 55,724 37,269 50,895 50,712 72,201 41,376 65,291 62,268 67,932 38,462 40,239 81,152 59,396 44,383 54,040 65,532 97,888 47,644 84,682 57,601 77,077 67,929 95,859 123,725 58,383 68,348 51,497 x5 6. 9 14. 3 12. 2 0. 2 3. 1 3. 8 3. 9 8. 7 11. 8 12. 2 42. 8 4. 7 3. 2 4. 8 10. 5 1. 4 8. 6 0. 2 8. 4 0. 7 10 6. 5 1. 2 16. 1 17. 8 10. 16. 2 10. 9 7 6. 1 4. 8 19. 3 4. 7 2. 7 9 20. 4 7. 1 2. 7 3. 2 4. 2 2. 9 8. 2 4. 1 3. 4 2. 6 7. 5 7. 5 5 7. 9 4. 7 6. 2 7. 2 10. 6 3. 9 6 x6 32,164 35,042 37,145 43,256 35,617 39,684 41,634 35,848 39,155 34,437 36,190 42,734 34,971 34,661 39,542 30,242 32,928 26,125 30,476 28,962 28,945 31,185 27,693 30,282 31,244 30,765 37,759 32,296 33,998 27,466 29,940 28,195 30,644 29,099 35,513 34,241 33,885 30,833 31,582 32,643 31,978 33,243 28,975 33,855 40,320 30,434 37,983 36,065 35,536 35,742 38,046 39,476 29,579 32,778 30,968 x7 ,374 2,347 2,384 4,150 2,844 2,943 3,933 2,941 2,997 2,774 2,611 3,444 3,158 2,845 2,926 7,824 2,560 2,588 2,174 2,274 2,225 2,154 2,078 2,811 2,242 2,306 2,616 2,227 2,383 2,394 2,435 2,743 2,564 2,501 2,506 2,455 2,511 1,916 2,382 2,706 2,349 2,654 2,470 2,617 3,011 2,643 2,849 2,539 2,979 2,499 2,820 3,258 2,331 2,267 2,513 x8 95. 1 94. 6 94 95. 7 95. 3 95. 5 95 94. 7 93. 7 93. 8 90. 7 95. 6 95. 3 95. 9 94. 5 94. 5 94. 5 99. 8 96. 2 96. 8 95. 5 96. 5 96. 5 93. 9 94. 4 95. 2 94. 7 96. 5 94. 6 95. 8 95. 9 96 94. 6 97 94. 7 92. 7 95. 3 95. 1 95. 9 95. 2 95. 6 94. 8 95. 9 95. 7 96. 1 95. 2 94. 7 95. 4 94. 9 95. 9 95. 2 94. 9 94. 5 95. 95. 5 x9 55 53 50 95 75 72 69 52 51 49 28 81 65 65 50 33 59 86 84 81 79 77 67 47 71 66 57 56 47 83 80 78 74 73 67 34 61 73 71 69 68 67 61 47 98 68 68 64 61 60 55 54 50 62 59 272 Appendixes Appendix G Critical Values of the F Distribution at a 5 Percent Level of Significance . 05 0 F Degrees of Freedom for the Numerator 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 40 60 120 161 18. 5 10. 1 7. 71 6. 61 5. 99 5. 59 5. 32 5. 12 4. 96 4. 84 4. 75 4. 67 4. 60 4. 54 4. 49 4. 45 4. 41 4. 38 4. 35 4. 32 4. 30 4. 28 4. 26 4. 24 4. 17 4. 08 4. 00 3. 92 3. 84 2 200 19. 0 9. 55 6. 94 5. 79 5. 14 4. 74 4. 46 4. 26 4. 0 3. 98 3. 89 3. 81 3. 74 3. 68 3. 63 3. 59 3. 55 3. 52 3. 49 3. 47 3. 44 3. 42 3. 40 3. 39 3. 32 3. 23 3. 15 3. 07 3. 00 3 216 19. 2 9. 28 6. 59 5. 41 4. 76 4. 35 4. 07 3. 86 3. 71 3. 59 3. 49 3. 41 3. 34 3. 29 3. 24 3. 20 3. 16 3. 13 3. 10 3. 07 3. 05 3. 03 3. 01 2. 99 2. 92 2. 84 2. 76 2. 68 2. 6 0 4 225 19. 2 9. 12 6. 39 5. 19 4. 53 4. 12 3. 84 3. 63 3. 48 3. 36 3. 26 3. 18 3. 11 3. 06 3. 01 2. 96 2. 93 2. 90 2. 87 2. 84 2. 82 2. 80 2. 78 2. 76 2. 69 2. 61 2. 53 2. 45 2. 37 5 230 19. 3 9. 01 6. 26 5. 05 4. 39 3. 97 3. 69 3. 48 3. 33 3. 20 3. 11 3. 03 2. 96 2. 90 2. 85 2. 81 2. 77 2. 74 2. 71 2. 68 2. 66 2. 64 2. 62 2. 60 2. 53 2. 5 2. 37 2. 29 2. 21 6 234 19. 3 8. 94 6. 16 4. 95 4. 28 3. 87 3. 58 3. 37 3. 22 3. 09 3. 00 2. 92 2. 85 2. 79 2. 74 2. 70 2. 66 2. 63 2. 60 2. 57 2. 55 2. 53 2. 51 2. 49 2. 42 2. 34 2. 25 2. 18 2. 10 7 237 19. 4 8. 89 6. 09 4. 88 4. 21 3. 79 3. 50 3. 29 3. 14 3. 01 2. 91 2. 83 2. 76 2. 71 2. 66 2. 61 2. 58 2. 54 2. 51 2. 49 2. 46 2. 44 2. 42 2. 40 2. 33 2. 25 2. 17 2. 09 2. 01 8 239 19. 4 8. 85 6. 04 4. 82 4. 15 3. 73 3. 44 3. 23 3. 07 2. 95 2. 85 2. 77 2. 70 2. 64 2. 59 2. 55 2. 51 2. 48 2. 45 2. 42 2. 40 2. 37 2. 36 2. 34 2. 27 2. 18 2. 10 2. 02 1. 94 9 241 19. 4 8. 81 6. 00 4. 77 4. 10 3. 68 3. 39 3. 18 3. 02 2. 90 2. 80 2. 71 2. 5 2. 59 2. 54 2 . 49 2. 46 2. 42 2. 39 2. 37 2. 34 2. 32 2. 30 2. 28 2. 21 2. 12 2. 04 1. 96 1. 88 10 242 19. 4 8. 79 5. 96 4. 74 4. 06 3. 64 3. 35 3. 14 2. 98 2. 85 2. 75 2. 67 2. 60 2. 54 2. 49 2. 45 2. 41 2. 38 2. 35 2. 32 2. 30 2. 27 2. 25 2. 24 2. 16 2. 08 1. 99 1. 91 1. 83 12 244 19. 4 8. 74 5. 91 4. 68 4. 00 3. 57 3. 28 3. 07 2. 91 2. 79 2. 69 2. 60 2. 53 2. 48 2. 42 2. 38 2. 34 2. 31 2. 28 2. 25 2. 23 2. 20 2. 18 2. 16 2. 09 2. 00 1. 92 1. 83 1. 75 15 246 19. 4 8. 70 5. 86 4. 62 3. 94 3. 51 3. 22 3. 01 2. 85 2. 72 2. 62 2. 53 2. 46 2. 40 2. 35 2. 31 2. 27 2. 23 2. 20 2. 18 2. 15 2. 13 2. 11 2. 09 2. 01 1. 92 1. 84 1. 75 1. 7 20 248 19. 4 8. 66 5. 80 4. 56 3. 87 3. 44 3. 15 2. 94 2. 77 2. 65 2. 54 2. 46 2. 39 2. 33 2. 28 2. 23 2. 19 2. 16 2. 12 2. 10 2. 07 2. 05 2. 03 2. 01 1. 93 1. 84 1. 75 1. 66 1. 57 24 249 19. 5 8. 64 5. 77 4. 53 3. 84 3. 41 3. 12 2. 90 2. 74 2. 61 2. 51 2. 42 2. 35 2. 29 2. 24 2. 19 2. 15 2. 11 2. 08 2. 05 2. 03 2. 01 1. 98 1. 96 1. 89 1. 79 1. 70 1. 61 1. 52 30 250 19. 5 8. 62 5. 75 4. 50 3. 81 3. 38 3. 08 2. 86 2. 70 2. 57 2. 47 2. 38 2. 31 2. 25 2. 19 2. 15 2. 11 2. 07 2. 04 2. 01 1. 98 1. 96 1. 94 1. 92 1. 84 1. 74 1. 65 1. 55 1. 46 40 251 19. 5 8. 59 5. 72 4. 46 3. 77 3. 34 3. 04 2. 83 2. 66 2. 53 2. 43 2. 34 2. 27 2. 20 2. 5 2. 10 2. 06 2. 03 1. 99 1. 96 1. 94 1. 91 1. 89 1. 87 1. 79 1. 69 1. 59 1. 50 1. 39 Degrees of Freedom for the Denominator Tables and Data Sets 273 Appendix G Critical Values of the F Distribution at a 1 Percent Level of Significance . 01 0 F Degrees of Freedom for the Numerator 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 40 60 120 4052 98. 5 34. 1 21. 2 16. 3 13. 7 12. 2 11. 3 10. 6 10. 0 9. 65 9. 33 9. 07 8. 86 8. 68 8. 53 8. 40 8. 29 8. 18 8. 10 8. 02 7. 95 7. 88 7. 82 7. 77 7. 56 7. 31 7. 08 6. 85 6. 63 2 5000 99. 0 30. 8 18. 0 13. 3 10. 9 9. 55 8. 65 8. 02 7. 56 7. 21 6. 93 6. 70 6. 51 6. 36 6. 3 6. 11 6. 01 5. 93 5. 85 5. 78 5. 72 5. 66 5. 61 5. 57 5. 39 5. 18 4. 98 4. 79 4. 61 3 5403 99. 2 29. 5 16. 7 12. 1 9. 78 8. 45 7. 59 6. 99 6. 55 6. 22 5. 95 5. 74 5. 56 5. 42 5. 29 5. 18 5. 09 5. 01 4. 94 4. 87 4. 82 4. 76 4. 72 4. 68 4. 51 4. 31 4. 13 3. 95 3. 78 4 5625 99. 2 28. 7 16. 0 11. 4 9. 15 7. 85 7. 01 6. 42 5. 99 5. 67 5. 41 5. 21 5. 04 4. 89 4. 77 4. 67 4. 58 4. 50 4. 43 4. 37 4. 31 4. 26 4. 22 4. 18 4. 02 3. 83 3. 65 3. 48 3. 32 5 5764 99. 3 28. 2 15. 5 11. 0 8. 75 7. 46 6. 63 6. 06 5. 64 5. 32 5. 06 4. 86 4. 69 4. 56 4. 44 4. 34 4. 25 4. 17 4. 10 4. 04 3. 99 3. 94 3. 90 3. 85 3. 70 3. 51 3. 34 3. 17 3. 02 6 5859 99. 27. 9 15. 2 10. 7 8. 47 7. 19 6. 37 5. 80 5. 39 5. 07 4. 82 4. 62 4. 46 4. 32 4. 20 4. 10 4. 01 3. 94 3. 87 3. 81 3. 76 3. 71 3. 67 3. 63 3. 47 3. 29 3. 12 2. 96 2. 80 7 5928 99. 4 27. 7 15. 0 10. 5 8. 26 6. 99 6. 18 5. 61 5. 20 4. 89 4. 64 4. 44 4. 28 4. 14 4. 03 3. 93 3. 84 3. 77 3. 70 3. 64 3. 59 3. 54 3. 50 3. 46 3. 30 3. 12 2. 95 2. 79 2. 64 8 5981 99. 4 27. 5 14. 8 10. 3 8. 10 6. 84 6. 03 5. 47 5. 06 4. 74 4. 50 4. 30 4. 14 4. 00 3. 89 3. 79 3 . 71 3. 63 3. 56 3. 51 3. 45 3. 41 3. 36 3. 32 3. 17 2. 99 2. 82 2. 66 2. 51 9 6022 99. 4 27. 3 14. 7 10. 2 7. 98 6. 72 5. 91 5. 35 4. 94 4. 63 4. 39 4. 19 4. 03 3. 89 3. 78 3. 68 3. 0 3. 52 3. 46 3. 40 3. 35 3. 30 3. 26 3. 22 3. 07 2. 89 2. 72 2. 56 2. 41 10 6056 99. 4 27. 2 14. 5 10. 1 7. 87 6. 62 5. 81 5. 26 4. 85 4. 54 4. 30 4. 10 3. 94 3. 80 3. 69 3. 59 3. 51 3. 43 3. 37 3. 31 3. 26 3. 21 3. 17 3. 13 2. 98 2. 80 2. 63 2. 47 2. 32 12 6106 99. 4 27. 1 14. 4 9. 89 7. 72 6. 47 5. 67 5. 11 4. 71 4. 40 4. 16 3. 96 3. 80 3. 67 3. 55 3. 46 3. 37 3. 30 3. 23 3. 17 3. 12 3. 07 3. 03 2. 99 2. 84 2. 66 2. 50 2. 34 2. 18 15 6157 99. 4 26. 9 14. 2 9. 72 7. 56 6. 31 5. 52 4. 96 4. 56 4. 25 4. 01 3. 82 3. 66 3. 52 3. 41 3. 31 3. 23 3. 15 3. 09 3. 03 2. 98 2. 93 2. 89 2. 85 2. 70 2. 52 2. 35 2. 19 2. 04 20 6209 99. 4 26. 14. 0 9. 55 7. 40 6. 16 5. 36 4. 81 4. 41 4. 10 3. 86 3. 66 3. 51 3. 37 3. 26 3. 16 3. 08 3. 00 2. 94 2. 88 2. 83 2. 78 2. 74 2. 70 2. 55 2. 37 2. 20 2. 03 1. 88 24 6235 99. 5 26. 6 13. 9 9. 47 7. 31 6. 07 5. 28 4. 73 4. 33 4. 02 3. 78 3. 59 3. 43 3. 29 3. 18 3. 08 3. 00 2. 92 2. 86 2. 80 2. 75 2. 70 2. 66 2. 62 2. 47 2. 29 2. 12 1. 95 1. 79 30 6261 99. 5 26. 5 13. 8 9. 38 7. 23 5. 99 5. 20 4. 65 4. 25 3. 94 3. 70 3. 51 3. 35 3. 21 3. 10 3. 00 2. 92 2. 84 2. 78 2. 72 2. 67 2. 62 2. 58 2. 54 2. 39 2. 20 2. 03 1. 86 1. 70 40 6287 99. 5 26. 4 13. 7 9. 29 7. 14 5. 91 5. 12 4. 57 4. 17 3. 86 3. 62 3. 43 3. 27 3. 13 3. 02 2. 92 2. 84 2. 6 2. 69 2. 64 2. 58 2. 54 2. 49 2. 45 2. 30 2. 11 1. 94 1. 76 1. 59 Degrees of Freedom for the Denominator 274 Appendixes Appendix H Critical Values of Chi-Square This table contains the values of of degrees of freedom. 2 that correspond to a specific right-tail area and specific number Example: With 17 df and a . 02 area in the upper tail, 2 30. 995 0 Degrees of Freedom, df 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 2 Right-Tail Area 0. 10 2. 706 4. 605 6. 251 7. 779 9. 236 10. 645 12. 017 13. 362 14. 684 15. 987 17. 275 18. 549 19. 812 21. 064 22. 307 23. 542 24. 769 25. 989 27. 204 28. 12 29. 615 30. 813 32. 007 33. 196 34. 382 35. 563 36. 741 37. 916 39. 087 40. 256 0. 05 3. 841 5. 991 7. 815 9. 488 11. 070 12. 592 14. 067 15. 507 16. 919 18. 307 19. 675 21. 026 22. 362 23. 685 24. 996 26. 296 27. 587 28. 869 30. 144 31. 410 32. 671 33. 924 35. 172 36. 415 37. 652 38. 885 40. 113 41. 337 42. 557 43. 773 0. 02 5. 412 7. 824 9. 837 11. 668 13. 388 15. 033 16. 622 18. 168 19. 679 21. 161 22. 618 24. 054 25. 472 26. 873 28. 259 29. 633 30. 995 32. 346 33. 687 35. 020 36. 343 37. 659 38. 968 40. 270 41. 566 42. 856 44. 140 45. 419 46. 693 47. 962 0. 01 6. 635 9. 210 11. 345 13. 277 15. 086 16. 812 18. 475 20. 090 21. 66 23. 209 24. 725 26. 217 27. 688 29. 141 30. 578 32. 000 33. 409 34. 805 36. 191 37. 566 38. 932 40. 289 41. 638 42. 980 44. 314 45. 642 46. 963 48. 278 49. 588 50. 892 Tables and Data Sets 275 Appendix I Binomial Probability Distribution n x 0 1 0. 05 0. 950 0. 050 0. 10 0. 900 0. 100 0. 20 0. 800 0. 200 0. 30 0. 700 0. 300 0. 40 0. 600 0. 400 1 0. 50 0. 500 0. 500 0. 60 0. 400 0. 600 0. 70 0. 300 0. 700 0. 80 0. 200 0. 800 0. 90 0. 100 0. 900 0. 95 0. 050 0. 950 Probability n 2 Probability x 0 1 2 0. 05 0. 903 0. 095 0. 003 0. 10 0. 810 0. 180 0. 010 0. 20 0. 640 0. 320 0. 040 0. 30 0. 490 0. 420 0. 090 0. 40 0. 360 0. 480 0. 60 0. 50 0. 250 0. 500 0. 250 0. 60 0. 160 0. 480 0. 360 0. 70 0. 090 0. 420 0. 490 0. 80 0. 040 0. 320 0. 640 0. 90 0. 010 0. 180 0. 810 0. 95 0. 003 0. 095 0. 903 n 3 Probability x 0 1 2 3 0. 05 0. 857 0. 135 0. 007 0. 000 0. 10 0. 729 0. 243 0. 027 0. 001 0. 20 0. 512 0. 384 0. 096 0. 008 0. 30 0. 343 0. 441 0. 189 0. 027 0. 40 0. 216 0. 432 0. 288 0. 064 0. 50 0. 125 0. 375 0. 375 0. 125 0. 60 0. 064 0. 288 0. 432 0. 216 0. 70 0. 027 0. 189 0. 441 0. 343 0. 80 0. 008 0. 096 0. 384 0. 512 0. 90 0. 001 0. 027 0. 243 0. 729 0. 95 0. 000 0. 007 0. 135 0. 857 n 4 Probability x 0 1 2 3 4 0. 05 0. 815 0. 171 0. 014 0. 000 0. 000 0. 0 0. 656 0. 292 0. 049 0. 004 0. 000 0. 20 0. 410 0. 410 0. 154 0. 026 0. 002 0. 30 0. 240 0. 412 0. 265 0. 076 0. 008 0. 40 0. 130 0. 346 0. 346 0. 154 0. 026 0. 50 0. 063 0. 250 0. 375 0. 250 0. 063 0. 60 0. 026 0. 154 0. 346 0. 346 0. 130 0. 70 0. 008 0. 076 0. 265 0. 412 0. 240 0. 80 0. 002 0. 026 0. 154 0. 410 0. 410 0. 90 0. 000 0. 004 0. 049 0. 292 0. 656 0. 95 0. 000 0. 000 0. 014 0. 171 0. 815 n 5 Probability x 0 1 2 3 4 5 0. 05 0. 774 0. 204 0. 021 0. 001 0. 000 0. 000 0. 10 0. 590 0. 328 0. 073 0. 008 0. 000 0. 000 0. 20 0. 328 0. 410 0. 205 0. 051 0. 006 0. 000 0. 30 0. 168 0. 360 0. 309 0. 132 0. 028 0. 002 0. 40 0. 78 0. 259 0. 346 0. 230 0. 077 0. 010 0. 50 0. 031 0. 156 0. 313 0. 313 0. 156 0. 031 0. 60 0. 010 0. 077 0. 230 0. 346 0. 259 0. 078 0. 70 0. 002 0. 028 0. 132 0. 309 0. 360 0. 168 0. 80 0. 000 0. 006 0. 051 0. 205 0. 410 0. 328 0. 90 0. 000 0. 000 0. 008 0. 073 0. 328 0. 590 0. 95 0. 000 0. 000 0. 001 0. 021 0. 204 0. 774 n 6 Probabili ty x 0 1 2 3 4 5 6 0. 05 0. 735 0. 232 0. 031 0. 002 0. 000 0. 000 0. 000 0. 10 0. 531 0. 354 0. 098 0. 015 0. 001 0. 000 0. 000 0. 20 0. 262 0. 393 0. 246 0. 082 0. 015 0. 002 0. 000 0. 30 0. 118 0. 303 0. 324 0. 185 0. 060 0. 010 0. 001 0. 40 0. 047 0. 187 0. 311 0. 276 0. 138 0. 037 0. 004 0. 0 0. 016 0. 094 0. 234 0. 313 0. 234 0. 094 0. 016 0. 60 0. 004 0. 037 0. 138 0. 276 0. 311 0. 187 0. 047 0. 70 0. 001 0. 010 0. 060 0. 185 0. 324 0. 303 0. 118 0. 80 0. 000 0. 002 0. 015 0. 082 0. 246 0. 393 0. 262 0. 90 0. 000 0. 000 0. 001 0. 015 0. 098 0. 354 0. 531 0. 95 0. 000 0. 000 0. 000 0. 002 0. 031 0. 232 0. 735 276 Appendixes Appendix I Binomial Probability Distribution (continued) n 7 Probability x 0 1 2 3 4 5 6 7 0. 05 0. 698 0. 257 0. 041 0. 004 0. 000 0. 000 0. 000 0. 000 0. 10 0. 478 0. 372 0. 124 0. 023 0. 003 0. 000 0. 000 0. 000 0. 20 0. 210 0. 367 0. 275 0. 115 0. 029 0. 004 0. 000 0. 000 0. 30 0. 082 0. 247 0. 18 0. 227 0. 097 0. 025 0. 004 0. 000 0. 40 0. 028 0. 131 0 . 261 0. 290 0. 194 0. 077 0. 017 0. 002 0. 50 0. 008 0. 055 0. 164 0. 273 0. 273 0. 164 0. 055 0. 008 0. 60 0. 002 0. 017 0. 077 0. 194 0. 290 0. 261 0. 131 0. 028 0. 70 0. 000 0. 004 0. 025 0. 097 0. 227 0. 318 0. 247 0. 082 0. 80 0. 000 0. 000 0. 004 0. 029 0. 115 0. 275 0. 367 0. 210 0. 90 0. 000 0. 000 0. 000 0. 003 0. 023 0. 124 0. 372 0. 478 0. 95 0. 000 0. 000 0. 000 0. 000 0. 004 0. 041 0. 257 0. 698 n 8 Probability x 0 1 2 3 4 5 6 7 8 0. 05 0. 663 0. 279 0. 051 0. 005 0. 000 0. 000 0. 000 0. 000 0. 000 0. 10 0. 430 0. 383 0. 149 0. 033 0. 005 0. 000 0. 000 0. 000 0. 00 0. 20 0. 168 0. 336 0. 294 0. 147 0. 046 0. 009 0. 001 0. 000 0. 000 0. 30 0. 058 0. 198 0. 296 0. 254 0. 136 0. 047 0. 010 0. 001 0. 000 0. 40 0. 017 0. 090 0. 209 0. 279 0. 232 0. 124 0. 041 0. 008 0. 001 0. 50 0. 004 0. 031 0. 109 0. 219 0. 273 0. 219 0. 109 0. 031 0. 004 0. 60 0. 001 0. 008 0. 041 0. 124 0. 232 0. 279 0. 209 0. 090 0. 017 0. 70 0. 000 0. 001 0. 010 0. 047 0. 136 0. 254 0. 296 0. 198 0. 0 58 0. 80 0. 000 0. 000 0. 001 0. 009 0. 046 0. 147 0. 294 0. 336 0. 168 0. 90 0. 000 0. 000 0. 000 0. 000 0. 005 0. 033 0. 149 0. 383 0. 430 0. 95 0. 000 0. 000 0. 000 0. 000 0. 000 0. 005 0. 051 0. 279 0. 663 n 9 Probability x 1 2 3 4 5 6 7 8 9 0. 05 0. 630 0. 299 0. 063 0. 008 0. 001 0. 000 0. 000 0. 000 0. 000 0. 000 0. 10 0. 387 0. 387 0. 172 0. 045 0. 007 0. 001 0. 000 0. 000 0. 000 0. 000 0. 20 0. 134 0. 302 0. 302 0. 176 0. 066 0. 017 0. 003 0. 000 0. 000 0. 000 0. 30 0. 040 0. 156 0. 267 0. 267 0. 172 0. 074 0. 021 0. 004 0. 000 0. 000 0. 40 0. 010 0. 060 0. 161 0. 251 0. 251 0. 167 0. 074 0. 021 0. 004 0. 000 0. 50 0. 002 0. 018 0. 070 0. 164 0. 246 0. 246 0. 164 0. 070 0. 018 0. 002 0. 60 0. 000 0. 004 0. 021 0. 074 0. 167 0. 251 0. 251 0. 161 0. 060 0. 010 0. 70 0. 000 0. 000 0. 004 0. 021 0. 074 0. 172 0. 267 0. 267 0. 156 0. 040 0. 80 0. 00 0. 000 0. 000 0. 003 0. 017 0. 066 0. 176 0. 302 0. 302 0. 134 0. 90 0. 000 0. 000 0. 000 0. 000 0. 001 0. 007 0. 045 0. 172 0. 387 0. 387 0. 95 0. 000 0. 000 0. 000 0. 000 0. 000 0. 001 0. 008 0. 063 0. 299 0. 630 n 10 Probability x 0 1 2 3 4 5 6 7 8 9 10 0. 05 0. 599 0. 315 0. 075 0. 010 0. 001 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 10 0. 349 0. 387 0. 194 0. 057 0. 011 0. 001 0. 000 0. 000 0. 000 0. 000 0. 000 0. 20 0. 107 0. 268 0. 302 0. 201 0. 088 0. 026 0. 006 0. 001 0. 000 0. 000 0. 000 0. 30 0. 028 0. 121 0. 233 0. 267 0. 200 0. 103 0. 037 0. 00 0. 001 0. 000 0. 000 0. 40 0. 006 0. 040 0. 121 0. 215 0. 251 0. 01 0. 111 0. 042 0. 011 0. 002 0. 000 0. 50 0. 001 0. 010 0. 044 0. 117 0. 205 0. 246 0. 205 0. 117 0. 044 0. 010 0. 001 0. 60 0. 000 0. 002 0. 011 0. 042 0. 111 0. 201 0. 251 0. 215 0. 121 0. 040 0. 006 0. 70 0. 000 0. 000 0. 001 0. 009 0. 037 0. 103 0. 200 0. 267 0. 233 0. 121 0. 028 0. 80 0. 000 0. 000 0. 000 0. 001 0. 006 0. 026 0. 088 0. 201 0. 302 0. 268 0. 107 0. 90 0. 000 0. 000 0. 000 0. 000 0. 000 0. 001 0. 011 0. 057 0. 194 0. 387 0. 349 0. 95 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 001 0. 010 0. 075 0. 315 0. 599 Tables and Data Sets 277 Appendix I Binomial Probability Distribution (continued) n 11 Probability x 1 2 3 4 5 6 7 8 9 10 11 0. 05 0. 569 0. 329 0. 087 0. 014 0. 001 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 10 0. 314 0. 384 0. 213 0. 071 0. 016 0. 002 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 20 0. 086 0. 236 0. 295 0. 221 0. 111 0. 039 0. 010 0. 002 0. 000 0. 000 0. 000 0. 000 0. 30 0. 020 0. 093 0. 200 0. 257 0. 220 0. 132 0. 057 0. 017 0. 004 0. 001 0. 000 0. 000 0. 40 0. 004 0. 027 0. 089 0. 177 0. 236 0. 221 0. 147 0. 070 0. 023 0. 005 0. 001 0. 000 0. 50 0. 000 0. 005 0. 027 0. 081 0. 161 0. 226 0. 226 0. 161 0. 081 0. 027 0. 005 0. 000 0. 60 0. 000 0. 001 0. 005 0. 023 0. 070 0. 147 0. 221 0. 236 0. 177 0. 89 0. 027 0. 004 0. 70 0. 000 0. 000 0. 001 0. 004 0. 017 0. 057 0. 132 0. 220 0. 257 0. 200 0. 093 0. 020 0. 80 0. 000 0. 000 0. 000 0. 000 0. 002 0. 010 0. 039 0. 111 0. 221 0. 295 0. 236 0. 086 0. 90 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 002 0. 016 0. 071 0. 213 0. 384 0. 314 0. 95 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 001 0. 014 0. 087 0. 329 0. 569 n 12 Probability x 0 1 2 3 4 5 6 7 8 9 10 11 12 0. 05 0. 540 0. 341 0. 099 0. 017 0. 002 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 10 0. 282 0. 377 0. 230 0. 085 0. 021 0. 004 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 20 0. 069 0. 206 0. 83 0. 236 0. 13 3 0. 053 0. 016 0. 003 0. 001 0. 000 0. 000 0. 000 0. 000 0. 30 0. 014 0. 071 0. 168 0. 240 0. 231 0. 158 0. 079 0. 029 0. 008 0. 001 0. 000 0. 000 0. 000 0. 40 0. 002 0. 017 0. 064 0. 142 0. 213 0. 227 0. 177 0. 101 0. 042 0. 012 0. 002 0. 000 0. 000 0. 50 0. 000 0. 003 0. 016 0. 054 0. 121 0. 193 0. 226 0. 193 0. 121 0. 054 0. 016 0. 003 0. 000 0. 60 0. 000 0. 000 0. 002 0. 012 0. 042 0. 101 0. 177 0. 227 0. 213 0. 142 0. 064 0. 017 0. 002 0. 70 0. 000 0. 000 0. 000 0. 001 0. 008 0. 029 0. 079 0. 158 0. 231 0. 240 0. 168 0. 071 0. 014 0. 80 0. 000 0. 000 0. 000 0. 000 0. 001 0. 003 0. 016 0. 053 0. 133 0. 236 0. 83 0. 206 0. 069 0. 90 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 004 0. 021 0. 085 0. 230 0. 377 0. 282 0. 95 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 002 0. 017 0. 099 0. 341 0. 540 n 13 Probability x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0. 05 0. 513 0. 351 0. 111 0. 021 0. 003 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 10 0. 254 0. 367 0. 245 0. 100 0. 028 0. 006 0. 001 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 20 0. 055 0. 179 0. 268 0. 246 0. 154 0. 069 0. 023 0. 006 0. 001 0. 000 0. 000 0. 000 0. 000 0. 000 0. 30 0. 010 0. 054 0. 139 0. 218 0. 234 0. 180 0. 103 0. 044 0. 14 0. 003 0. 001 0. 000 0. 000 0. 000 0. 40 0. 001 0. 011 0. 045 0. 111 0. 184 0. 221 0. 197 0. 131 0. 066 0. 024 0. 006 0. 001 0. 000 0. 000 0. 50 0. 000 0. 002 0. 010 0. 035 0. 087 0. 157 0. 209 0. 209 0. 157 0. 087 0. 035 0. 010 0. 002 0. 000 0. 60 0. 000 0. 000 0. 001 0. 006 0. 024 0. 066 0. 131 0. 197 0. 221 0. 184 0. 111 0. 045 0. 011 0. 001 0. 70 0. 000 0. 000 0. 000 0. 001 0. 003 0. 014 0. 044 0. 103 0. 180 0. 234 0. 218 0. 139 0. 054 0. 010 0. 80 0. 000 0. 000 0. 000 0. 000 0. 000 0. 001 0. 006 0. 023 0. 069 0. 154 0. 246 0. 268 0. 179 0. 055 0. 90 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 001 0. 006 0. 028 0. 00 0. 245 0. 367 0. 254 0. 95 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 003 0. 021 0. 111 0. 351 0. 513 278 Appendixes Appendix I Binomial Probability Distribution (continued) n 14 Probability x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0. 05 0. 488 0. 359 0. 123 0. 026 0. 004 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 10 0. 229 0. 356 0. 257 0. 114 0. 035 0. 008 0. 001 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 20 0. 044 0. 154 0. 250 0. 250 0. 172 0. 086 0. 032 0. 009 0. 002 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 30 0. 007 0. 041 0. 113 0. 194 0. 229 0. 196 0. 26 0. 062 0. 023 0. 007 0. 001 0. 000 0. 000 0. 000 0. 000 0. 40 0. 001 0. 007 0. 032 0. 085 0. 155 0. 207 0. 207 0. 157 0. 092 0. 041 0. 014 0. 003 0. 001 0. 000 0. 000 0. 50 0. 000 0. 001 0. 006 0. 022 0. 061 0. 122 0. 183 0. 209 0. 183 0. 122 0. 061 0. 022 0. 006 0. 001 0. 000 0. 60 0. 000 0. 000 0. 001 0. 003 0. 014 0. 041 0. 092 0. 157 0. 207 0. 207 0. 155 0. 085 0. 032 0. 007 0. 001 0. 70 0. 000 0. 000 0. 000 0. 000 0. 001 0. 007 0. 023 0. 062 0 . 126 0. 196 0. 229 0. 194 0. 113 0. 041 0. 007 0. 80 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 002 0. 009 0. 032 0. 086 0. 172 0. 250 0. 250 0. 154 0. 044 0. 90 0. 000 0. 000 0. 00 0. 000 0. 000 0. 000 0. 000 0. 000 0. 001 0. 008 0. 035 0. 114 0. 257 0. 356 0. 229 0. 95 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 004 0. 026 0. 123 0. 359 0. 488 n 15 Probability x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0. 05 0. 463 0. 366 0. 135 0. 031 0. 005 0. 001 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 10 0. 206 0. 343 0. 267 0. 129 0. 043 0. 010 0. 002 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 20 0. 035 0. 132 0. 231 0. 250 0. 188 0. 103 0. 043 0. 014 0. 003 0. 001 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 30 0. 005 0. 031 0. 092 0. 70 0. 219 0. 206 0. 147 0. 081 0. 035 0. 012 0. 003 0. 001 0. 000 0. 000 0. 000 0. 000 0. 40 0. 000 0. 005 0. 022 0. 063 0. 127 0. 186 0. 207 0. 177 0. 118 0. 061 0. 024 0. 007 0. 002 0. 000 0. 000 0. 000 0. 50 0. 000 0. 000 0. 003 0. 014 0. 042 0. 092 0. 153 0. 196 0. 196 0. 153 0. 092 0. 042 0. 014 0. 003 0. 000 0. 000 0. 60 0. 000 0. 000 0. 000 0. 002 0. 007 0. 024 0. 061 0. 118 0. 177 0. 207 0. 186 0. 127 0. 063 0. 022 0. 005 0. 000 0. 70 0. 000 0. 000 0. 000 0. 000 0. 001 0. 003 0. 012 0. 035 0. 081 0. 147 0. 206 0. 219 0. 170 0. 092 0. 031 0. 005 0. 80 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 001 0. 003 0. 014 0. 043 0. 03 0. 188 0. 250 0. 231 0. 132 0. 035 0. 90 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 002 0. 010 0. 043 0. 129 0. 267 0. 343 0. 206 0. 95 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 001 0. 005 0. 031 0. 135 0. 366 0. 463 n 16 Probability x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0. 05 0. 440 0. 371 0. 146 0. 036 0. 006 0. 001 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 10 0. 185 0. 329 0. 275 0. 142 0. 051 0. 014 0. 003 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 20 0. 028 0. 113 0. 211 0. 246 0. 200 0. 120 0. 055 0. 20 0. 006 0. 001 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 30 0. 003 0. 023 0. 073 0. 146 0. 204 0. 210 0. 165 0. 101 0. 049 0. 019 0. 006 0. 001 0. 000 0. 000 0. 000 0. 000 0. 000 0. 40 0. 000 0. 003 0. 015 0. 047 0. 101 0. 162 0. 198 0. 189 0. 142 0. 084 0. 039 0. 014 0. 004 0. 001 0. 000 0. 000 0. 000 0. 50 0. 000 0. 000 0. 002 0. 009 0. 028 0. 067 0. 122 0. 175 0. 196 0. 175 0. 122 0. 067 0. 028 0. 009 0. 002 0. 000 0. 000 0. 60 0. 000 0. 000 0. 000 0. 001