Applied Statistics and Probability for Engineers

684 APPENDIX C ANSWERS TO SELECTED EXERCISES

Section 9-3

9-31. (a)t 0 3.48, reject H 0 ,

P-value0.002

(b) 1 (c) 35

(d) (98.065, 98.463)

(e) Yes

9-33. (a)t 0 1.46, do not reject

H 0 , P-value0.156

(b) Yes (c) 0.85 (d) 51

(e) (129.406, 130.100)

9-35. t 0 4.47, reject H 0 ,

P-value0.0005

9-37. (a)t 0 5.35, do not reject H 0

(b)P-value0.4

(c) 0.75 (d) 38

9-39. (a)t 0 2.806, reject H 0

(b)P-value0.004 (c) 1

(d) 3

9-41. (a)t 0 3.018, reject H 0

(b)P-value0.0038 (c) 0.8

(d) 38

Section 9-4

9-43. (a) 02 8.96, do not reject H 0

(b) 0.5P-value0.9

(c) 50

9-45. (a) 02 4984.83, reject H 0

(b)P-value 0.005

9-47. (a) 02 109.52, reject H 0

(b) 0.310.46

9-49. 30

Section 9-5

9-51. 0.639, 118

9-53. (a)z 0 0.53, do not reject H 0

(b)P-value0.29806

9-55. (a)z 0 0.452, do not reject H 0

(b)P-value0.67364

9-57. (a)0.0853 (b)

Section 9-7

9-59. (a) 02 7.2, do not reject H 0

(b) 0.05P-value0.10

9-61. (a) 02 1.72, do not reject H 0

(b) 0.5P-value0.9

9-63. (a) 02 1.053, do not reject H 0

(b) 0.1P-value0.5

Section 9-8

9-65. (a) 02 11.65, do not reject H 0

(b) 0.05P-value0.10

9-67. (a) 02 25.55, reject H 0

(b)P-value0.005

9-69. (a) 02 10.71, do not reject H 0

(b) 0.05P-value0.10

 0

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

9-79. (a) 02 5.546, reject H 0

(b) 0.01P-value0.025

9-81. (a) 02 1.75, do not reject H 0

9-83. (a) 02 17.929, reject H 0

(b)P-value0.0123

9-85. (a) 02 63.36, reject H 0

9-87. (a)z 0 7.32, reject H 0

(b)P-value  0

(c) 02 12.0, reject H 0

9-89. (b)t 0 1.608, do not reject H 0

(c) 0.1P-value0.2

CHAPTER 10

Section 10-2

10-1. (a) Yes, cannot reject H 0

(b)P-value0.3222

(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)z 0 7.254 reject H 0

(c)P-value  0

10-9. 11

10-11.(a) (5.83, 0.57) (b) Yes

10-13.z 0 2.385, reject H 0

10-15.Ye s

Section 10-3

10-17.(a)t 0 0.230, do not reject H 0

(b)P-value0.80

(c) (0.394, 0.494)

10-19.(a)t 0 3.11, reject H 0

(b) (5.688, 0.3122)

10-21.(a)t 0 2.83, reject H 0

(b) 0.010P-value0.020

(c) (0.111, 0.749)

10-23.(17.235, 44.765)

10-25.t 0 5.499, P-value0.0010

10-27.(a)t 0 3.03, reject H 0

(b) 0.005P-value0.010

(c)t 0 3.03, reject H 0

10-29.(14.34, 21.94)

10-31.(b)t 0 2.558, reject H 0

(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.t 0 0.357, cannot reject H 0

10-37.(727.46, 2464.21)

10-39.t 0 5.465, reject H 0

10-41.t 0 8.387, reject H 0

10-43.t 0 3.45, reject H 0

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.f 0 0.657, cannot reject H 0

10-49.No

10-51.(a) (0.08775, 3.594)

(b) (0.0585, 5.3)

(c) (0.137, )

10-53.f 0 0.297, cannot reject H 0

10-55.f 0 0.2575, cannot reject H 0

10-57.(0.3369, 2.640)

10-59.f 0 0.640, cannot reject H 0

Section 10-6

10-61.z 0 1.49, cannot reject H 0

10-63.(a) 0.81859 (b) 383

10-65.(a)z 0 3.42, reject H 0 ,

P-value0.00062

10-67.(0.0434, 0.1616)

Supplemental

10-69.(1.40, 8.36)

10-71.(a)t 0 2.554, reject H 0

(b)t 0 2.554, cannot reject H 0

(c)t 0 1.986, cannot reject H 0

(d)t 0 1.986, cannot

reject H 0

10-73.(a)z 0 6.55, reject H 0

(b)z 0 6.55, reject H 0

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)t 0 6.06, reject H 0

10-87.(b)t 0 0.512, cannot

reject H 0 (c) 16

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