(a) x (b) s2 in .NET

Drawer Quick Response Code in .NET (a) x (b) s2
APPENDIX C
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6-47. (a) x (b) s2
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48.125, ~ x 7.246, s
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49 2.692
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Section 8-2 8-1. 97.93%, 99.36%, and 96.78% 8-3. (a) 1.29 (b) 1.65 (c) 2.33 8-5. 3 8-7. (a) Longer (b) No (c) Yes 8-9. (89.471, 91.489) 8-11. (a) (74.0353, 74.0367) (b) (74.0355, ) 8-13. (a) (3232.11, 3267.89) (b) (3226.5, 3273.5) 8-15. 267 8-17. 4 Section 8-3 8-19. t0.025,15 2.131, t0.05,10 1.812, t0.10,20 1.325, t0.005,25 2.787, t0.001,30 3.385 8-21. (a) t0.05,14 1.761 (b) t0.01,19 2.359 (c) t0.001,24 3.467 8-23. (1.108, ) 8-25. (a) Yes (b) (16.455, 17.505) 8-27. (a) Yes (b) (8.216, 8.244) 8-29. (4.023, ) 8-31. (1.093, 1.106) Section 8-4 2 8-33. 0.05,10
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Supplemental 6-73. (a) x 65.083 (b) s2 1.86869, s 1.367 6-75. (a) Sample 1: range 4; Sample 2: range 4 (b) Sample 1: s 1.604; Sample 2: s 1.852 6-79. (b) x 9.325, s 4.48586
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Section 8-7 8-61. (0.408, 2.092) 8-63. (15.14, 18.82) 8-65. (8.16, 8.30) 8-67. 13.91, 2 8-69. (1.06, 1.14) Supplemental 8-71. (a) 0.1 P-value 0.25 (b) 0.05 P-value 0.1 (c) P-value 0.00539 8-75. (a) 40 (b) 23 8-77. 2178.51 Xn 1 2341.49 8-79. (a) Yes (b) 0.618 0.630 (c) 0.588 Xn 1 0.660 (d) (0.583, 0.665) 8-81. (a) Yes (b) 2.270 4.260 (c) 1.297 Xn 1 7.827 (d) ( 3.113, 10.363) 8-83. (a) 0.0021 p 0.0088 (b) Yes 8-85. (a) 0.210 p 0.274 (b) 0.204 p 0.280
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Section 7-2 7-1. Estimator 1 7-3. Estimator 2 7-5. 2.5 7-7. Estimator 3 is most ef cient; estimator 2 is the best unbiased estimator. 7-11. (a) 75.427 (b) 75.1 (c) 2 2.214, 1.488 (d) 0.292 (e) 0.0385 1 7-13. (a) Yes (b) 12 7-15. (b) se 7-17. (b) se 1 2 (c)
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B n1
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Section 9-1 9-1. 9-3. 9-5. 9-7. 9-9. 9-11. 9-13. 9-17. 9-19. (a) Yes (b) No (c) No (d) No (e) No (a) 0 (b) 0.02275 11.5875 (a) 0.09296 (b) 0.04648 (c) 0.00005 (a) Reject H0 (b) 0.00889 (a) 182.9 (b) 0.00776 (a) 0.0164 (b) 0.21186 (a) 0.08535 (b) 0 (a) 0.29372 (b) 0.25721
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11 n1n2
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2 2an1
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an1 n2 an1
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(d) 0.10
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Section 7-3 7-31. (a) 423.33, 82.4464 Section 7-5 7-33. 0.8385 7-35. 0.43055 7-37. 0.3472 7-39. 12 7-41. 0.2313 7-43. (a) 0.5885 (b) 0.1759 7-45. 0.983 Supplemental 7-49. X1 X2 N 1 5, 0.22332 7-51. 0.8664 7-53. 1 (approximately) 7-55. 0 (approximately)
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8-35. 8-37. 8-39. 8-41.
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18.31, 27.49, 0.025,15 2 26.22, 0.01,12 2 46.93, 0.005,25 2 10.85, 0.95,20 2 7.01, 0.99,18 2 5.14 0.995,16 2 0.00003075 2 7,975,727.09 0.31 0.46 3.8
Section 8-5 8-43. 622 8-45. 666 8-47. 5759 Section 8-6 8-49. 52131.1 Xn 1 68148.3 8-51. 263.5 Xn 1 370.9 8-53. 2193.5 Xn 1 2326.5 8-55. 3.19 Xn 1 4.19 8-57. 2.56 Xn 1 3.22 8-59. 228.1 Xn 1 235.2
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Section 9-2 9-21. (a) z0 0.36, do not reject H0 (b) P-value 0.71884 (c) 5 (d) 0.68054 (e) (87.85, 93.11) 9-23. (a) z0 1.69, do not reject H0 (b) 0.091028 (c) 0 (d) 1 9-25. (a) z0 14.43, reject H0 (b) 0 (c) (3232.11, 3267.89) 9-27. (a) z0 1.55, do not reject H0 (b) 0.02938 (c) 1 (d) (99.888, ) 9-29. (a) z0 1.77, reject H0 (b) 1 (c) 35 (d) (4.003, )
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APPENDIX C ANSWERS TO SELECTED EXERCISES
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Section 9-3 9-31. (a) t0 3.48, reject H0, P-value 0.002 (b) 1 (c) 35 (d) (98.065, 98.463) (e) Yes 9-33. (a) t0 1.46, do not reject H0, P-value 0.156 (b) Yes (c) 0.85 (d) 51 (e) (129.406, 130.100) 9-35. t0 4.47, reject H0, P-value 0.0005 9-37. (a) t0 5.35, do not reject H0 (b) P-value 0.4 (c) 0.75 (d) 38 9-39. (a) t0 2.806, reject H0 (b) P-value 0.004 (c) 1 (d) 3 9-41. (a) t0 3.018, reject H0 (b) P-value 0.0038 (c) 0.8 (d) 38 Section 9-4 2 9-43. (a) 0 8.96, do not reject H0 (b) 0.5 P-value 0.9 (c) 50 2 9-45. (a) 0 4984.83, reject H0 (b) P-value 0.005 2 9-47. (a) 0 109.52, reject H0 (b) 0.31 0.46 9-49. 30 Section 9-5 9-51. 0.639, 118 9-53. (a) z0 0.53, do not reject H0 (b) P-value 0.29806 9-55. (a) z0 0.452, do not reject H0 (b) P-value 0.67364 0 9-57. (a) 0.0853 (b) Section 9-7 2 9-59. (a) 0 (b) 0.05 2 9-61. (a) 0 (b) 0.5 2 9-63. (a) 0 (b) 0.1
Supplemental 9-71. (a) p(1 p) 50 (b) p(1 p) 80 (c) p(1 p) 100 9-73. (a) 0.564 (b) 0.161 (c) 0.116 9-75. (a) 0.61026 (b) 0.995 (c) 0.9988 2 9-79. (a) 0 5.546, reject H0 (b) 0.01 P-value 0.025 2 9-81. (a) 0 1.75, do not reject H0 2 9-83. (a) 0 17.929, reject H0 (b) P-value 0.0123 2 9-85. (a) 0 63.36, reject H0 9-87. (a) z0 7.32, reject H0 (b) P-value 0 2 (c) 0 12.0, reject H0 9-89. (b) t0 1.608, do not reject H0 (c) 0.1 P-value 0.2
10-29. ( 14.34, 21.94) 10-31. (b) t0 2.558, reject H0 (c) P-value 0.020 (d) 0.05 (e) n 51 (f ) (1.86, 18.94) Section 10-4 10-33. (0.1694, 0.3778) 10-35. t0 0.357, cannot reject H0 10-37. ( 727.46, 2464.21) 10-39. t0 5.465, reject H0 10-41. t0 8.387, reject H0 10-43. t0 3.45, reject H0 Section 10-5 10-45. (a) 1.59 (b) 2.28 (c) 2.64 (d) 0.529 (e) 0.524 (f) 0.311 10-47. f0 0.657, cannot reject H0 10-49. No 10-51. (a) (0.08775, 3.594) (b) (0.0585, 5.3) (c) (0.137, ) 10-53. f0 0.297, cannot reject H0 10-55. f0 0.2575, cannot reject H0 10-57. (0.3369, 2.640) 10-59. f0 0.640, cannot reject H0 Section 10-6 10-61. z0 1.49, cannot reject H0 10-63. (a) 0.81859 (b) 383 10-65. (a) z0 3.42, reject H0, P-value 0.00062 10-67. (0.0434, 0.1616) Supplemental 10-69. (1.40, 8.36) 10-71. (a) t0 2.554, reject H0 (b) t0 2.554, cannot reject H0 (c) t0 1.986, cannot reject H0 (d) t0 1.986, cannot reject H0 10-73. (a) z0 6.55, reject H0 (b) z0 6.55, reject H0 10-75. (a) ( 0.0335, 0.0329) (b) ( 0.0282, 0.0276) (c) ( 0.0238, 0.0232), ( 0.0203, 0.0200) 10-79. 60 10-81. 26 10-83. (a) No (b) Yes (d) (18.124, 294.35) 10-85. (b) t0 6.06, reject H0 10-87. (b) t0 0.512, cannot reject H0 (c) 16
Section 10-2 10-1. (a) Yes, cannot reject H0 (b) P-value 0.3222 (c) 0.9967 (d) ( 0.0098, 0.00298) (e) 9 10-3. 1, Yes 10-5. (a) (0.0987, 0.2813) (b) (0.0812, 0.299) (c) ( , 0.2813) 10-7. (a) ( 3.684, 2.116) (b) z0 7.254 reject H0 (c) P-value 0 10-9. 11 10-11. (a) ( 5.83, 0.57) (b) Yes 10-13. z0 2.385, reject H0 10-15. Yes Section 10-3 10-17. (a) t0 0.230, do not reject H0 (b) P-value 0.80 (c) ( 0.394, 0.494) 10-19. (a) t0 3.11, reject H0 (b) ( 5.688, 0.3122) 10-21. (a) t0 2.83, reject H0 (b) 0.010 P-value 0.020 (c) (0.111, 0.749) 10-23. (17.235, 44.765) 10-25. t0 5.499, P-value 0.0010 10-27. (a) t0 3.03, reject H0 (b) 0.005 P-value 0.010 (c) t0 3.03, reject H0
7.2, do not reject H0 P-value 0.10 1.72, do not reject H0 P-value 0.9 1.053, do not reject H0 P-value 0.5
Section 9-8 2 9-65. (a) 0 11.65, do not reject H0 (b) 0.05 P-value 0.10 2 9-67. (a) 0 25.55, reject H0 (b) P-value 0.005 2 9-69. (a) 0 10.71, do not reject H0 (b) 0.05 P-value 0.10