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AP Statistics
Student Resource Packet
The following formulas and tables are similar to the ones
which will be provided to you on the Advanced Placement
Exam. You will be allowed to use the following resources
on select Quizzes and Exams as we proceed through the
course. Keep this packet in an accessible place !such as
your Statistics Binder" so you can refer to it when
needed.
Packet Contents: Formula Card z # Table Standard Normal Probabilities t # Distribution Critical Values Chi#square Table
I. Descriptive Statistics II. Probability ! x = " xi n ! P ( A # B ) = P ( A ) + P ( B ) $ P ( A % B ) ! P ( A | B ) = P ( A % B ) P ( B ) ! sx = 1 n $ 1 "( xi $^ x^ )^2 ! E ( X ) = μ x = (^) " xi pi ! Var ( X ) = & (^) x^2 = (^) "( xi $ μ x )^2 pi ! sp = ( n 1 $ 1 ) s 12 + ( n 2 $ 1 ) s 22 ( n 1 $ 1 ) + ( n 2 $ 1 ) If X has a binomial distribution with parameters n and p , then: ! y^ ˆ = b 0 + b 1 x ! P ( X = k ) = n k ' ( )
, p k ( 1 $ p ) n $ k ! μ x = np ! b 1 = "( xi $^ x^ )( yi $^ y^ ) "^ ( xi $^ x^ )^2 ! & x = np ( 1 $ p ) ! μ (^) p ˆ = p ! b 0 = y $ b 1 x ! & (^) p ˆ = p ( 1 $ p ) n ! r = 1 n $ 1 xi $ x sx ' ( )
" , yi $ y sy ' ( ))
,, ! b 1 = r sy sx ! sb 1 = " ( yi $^ y ˆ^ i )^2 n $ 2 "^ ( xi $^ x^ )^2 AP Statistics Formula Card mean ! μ and standard deviation ! & , then: If ! x is the mean of a random sample ! μ x = μ & x = & n of size n from an infinite population with
2004 AP
STATISTICS FREE-RESPONSE QUESTIONS
Probability z
Table entry for z is the
- z Table A Standard normal probabilities
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- $ probability lying below z
2004 AP
STATISTICS FREE-RESPONSE QUESTIONS
12 Probability z
Table A ( Continued )
z. 00. 01. 02. 03. 04. 05. 06. 07. 08. 09
Table entry for z is the
probability lying below z.
Table entry for z is the
probability lying below z.
2004 AP
STATISTICS FREE-RESPONSE QUESTIONS
Probability p
(χ^2 )
Table C χ 2 critical values Tail probability p df. 25. 20. 15. 10. 05. 025. 02. 01. 005. 0025. 001. 0005 1 1. 32 1. 64 2. 07 2. 71 3. 84 5. 02 5. 41 6. 63 7. 88 9. 14 10. 83 12. 12 2 2. 77 3. 22 3. 79 4. 61 5. 99 7. 38 7. 82 9. 21 10. 60 11. 98 13. 82 15. 20 3 4. 11 4. 64 5. 32 6. 25 7. 81 9. 35 9. 84 11. 34 12. 84 14. 32 16. 27 17. 73 4 5. 39 5. 99 6. 74 7. 78 9. 49 11. 14 11. 67 13. 28 14. 86 16. 42 18. 47 20. 00 5 6. 63 7. 29 8. 12 9. 24 11. 07 12. 83 13. 39 15. 09 16. 75 18. 39 20. 51 22. 11 6 7. 84 8. 56 9. 45 10. 64 12. 59 14. 45 15. 03 16. 81 18. 55 20. 25 22. 46 24. 10 7 9. 04 9. 80 10. 75 12. 02 14. 07 16. 01 16. 62 18. 48 20. 28 22. 04 24. 32 26. 02 8 10. 22 11. 03 12. 03 13. 36 15. 51 17. 53 18. 17 20. 09 21. 95 23. 77 26. 12 27. 87 9 11. 39 12. 24 13. 29 14. 68 16. 92 19. 02 19. 68 21. 67 23. 59 25. 46 27. 88 29. 67 10 12. 55 13. 44 14. 53 15. 99 18. 31 20. 48 21. 16 23. 21 25. 19 27. 11 29. 59 31. 42 11 13. 70 14. 63 15. 77 17. 28 19. 68 21. 92 22. 62 24. 72 26. 76 28. 73 31. 26 33. 14 12 14. 85 15. 81 16. 99 18. 55 21. 03 23. 34 24. 05 26. 22 28. 30 30. 32 32. 91 34. 82 13 15. 98 16. 98 18. 20 19. 81 22. 36 24. 74 25. 47 27. 69 29. 82 31. 88 34. 53 36. 48 14 17. 12 18. 15 19. 41 21. 06 23. 68 26. 12 26. 87 29. 14 31. 32 33. 43 36. 12 38. 11 15 18. 25 19. 31 20. 60 22. 31 25. 00 27. 49 28. 26 30. 58 32. 80 34. 95 37. 70 39. 72 16 19. 37 20. 47 21. 79 23. 54 26. 30 28. 85 29. 63 32. 00 34. 27 36. 46 39. 25 41. 31 17 20. 49 21. 61 22. 98 24. 77 27. 59 30. 19 31. 00 33. 41 35. 72 37. 95 40. 79 42. 88 18 21. 60 22. 76 24. 16 25. 99 28. 87 31. 53 32. 35 34. 81 37. 16 39. 42 42. 31 44. 43 19 22. 72 23. 90 25. 33 27. 20 30. 14 32. 85 33. 69 36. 19 38. 58 40. 88 43. 82 45. 97 20 23. 83 25. 04 26. 50 28. 41 31. 41 34. 17 35. 02 37. 57 40. 00 42. 34 45. 31 47. 50 21 24. 93 26. 17 27. 66 29. 62 32. 67 35. 48 36. 34 38. 93 41. 40 43. 78 46. 80 49. 01 22 26. 04 27. 30 28. 82 30. 81 33. 92 36. 78 37. 66 40. 29 42. 80 45. 20 48. 27 50. 51 23 27. 14 28. 43 29. 98 32. 01 35. 17 38. 08 38. 97 41. 64 44. 18 46. 62 49. 73 52. 00 24 28. 24 29. 55 31. 13 33. 20 36. 42 39. 36 40. 27 42. 98 45. 56 48. 03 51. 18 53. 48 25 29. 34 30. 68 32. 28 34. 38 37. 65 40. 65 41. 57 44. 31 46. 93 49. 44 52. 62 54. 95 26 30. 43 31. 79 33. 43 35. 56 38. 89 41. 92 42. 86 45. 64 48. 29 50. 83 54. 05 56. 41 27 31. 53 32. 91 34. 57 36. 74 40. 11 43. 19 44. 14 46. 96 49. 64 52. 22 55. 48 57. 86 28 32. 62 34. 03 35. 71 37. 92 41. 34 44. 46 45. 42 48. 28 50. 99 53. 59 56. 89 59. 30 29 33. 71 35. 14 36. 85 39. 09 42. 56 45. 72 46. 69 49. 59 52. 34 54. 97 58. 30 60. 73 30 34. 80 36. 25 37. 99 40. 26 43. 77 46. 98 47. 96 50. 89 53. 67 56. 33 59. 70 62. 16 40 45. 62 47. 27 49. 24 51. 81 55. 76 59. 34 60. 44 63. 69 66. 77 69. 70 73. 40 76. 09 50 56. 33 58. 16 60. 35 63. 17 67. 50 71. 42 72. 61 76. 15 79. 49 82. 66 86. 66 89. 56 60 66. 98 68. 97 71. 34 74. 40 79. 08 83. 30 84. 58 88. 38 91. 95 95. 34 99. 61 102. 7 80 88. 13 90. 41 93. 11 96. 58 101. 9 106. 6 108. 1 112. 3 116. 3 120. 1 124. 8 128. 3 100 109. 1 111. 7 114. 7 118. 5 124. 3 129. 6 131. 1 135. 8 140. 2 144. 3 149. 4 153. 2 Table entry for p is the point ( χ 2 )with probability p lying above it.
