Appendix A-1: Solutions to Review Exercises (Ch 3-13)
Chapter 3
1. c. parameter
2. a. population
3. b. statistic
4. d. sample
5. e. variable
6. quantitative continuous
7.
8. Answers will vary.
Chapter 4
9. c. (0.80)(0.30)
10. b. No, and they are not mutually exclusive either.
11. a. all employed adult women
12. 0.5773
13. 0.0522
14. b. The middle fifty percent of the members lost from 2 to 8.5 lbs.
15. c. All of the data have the same value.
16. c. The lowest data value is the median.
17. 0.279
18. b. No, I expect to come out behind in money.
19. X = the number of patients calling in claiming to have the flu, who actually have the flu.
X = 0, 1, 2, …25
20. B(25, 0.04)
21. 0.0165
22. 1
23. c. quantitative discrete
24. all words used by Tom Clancy in his novels
Chapter 5
25.
26. qualitative
27. 0.36
28. 0.7636
29.
30. B(10, 0.76)
31. 0.9330
32.
33. $150
34. Matt
35.
36. 16
37. first quartile: 2
second quartile: 2
third quartile: 3
38. 0.5
39. 715
40. 215
Chapter 6
41.
42.
43.
44. d. G and H are independent events.
45.
46. a. P(5)
Chapter 7
47. a. U(0, 4)
48. b. 2 hour
49. a. 14
50.
51. c. 5 years
52. c. exponential
53. 0.63
54. B(14, 0.20)
55. B(14, 0.20)
Chapter 8
56. c. the mean amount of weight lost by 15 people on the special weight loss diet.
57. 0.9951
58. 12.99
59. c. 12
60. b. 0.60
61. c. N(60, 5.477)
62. 0.9990
63. a. eight days
64. c. 0.7500
65. a. 80%
66. b. 35%
67. b. no
68. b. quantitative continuous
69. c. 150
70. d. 0.06
71. c. 0.44
72. b. 0
Chapter 9
73. d. Matt is shorter than the average 14 year old boy.
74. Answers will vary.
75.
| x | Relative Frequency | Cumulative Relative Frequency |
|---|---|---|
| 1 | 0.3 | 0.3 |
| 2 | 0.2 | 0.2 |
| 4 | 0.4 | 0.4 |
| 5 | 0.1 | 0.1 |
76.
77. M = 3; Q1 = 1; Q3 = 4
78. 1 and 4
79. d. 870
80. c. 4070
81. a. 919
82. b. false
83. b. false
84. b. false
85.
86. CI: (5.25, 8.48)
87.
Chapter 10
88. 77100
89. 1242
90.
91. N(180, 16.43)
92. a. The distribution for X⎯⎯⎯ is still uniform with the same mean and standard deviation as the distribution for X.
93. c. The distribution for ∑X is normal with a larger mean and a larger standard deviation than the distribution for X.
94. N(2, 0.2516√)
95. Answers will vary.
96. 0.5000
97. 7.6
98. 5
99. 0.9431
Chapter 11
100. 7.5
101. 0.0122
102. N(7, 0.63)
103. 0.9911
104. b. Exponential
105.
106. Answers will vary.
107. Student’s t with df = 15
108. (560.07, 719.93)
109. quantitative continuous data
110. quantitative discrete data
111.
112. greater than
113. No; P(x = 8) = 0.0348
114. You will lose $5.
115. Becca
116. 14
117. Sample mean = 3.2
Sample standard deviation = 1.85
Median = 3
Q1 = 2
Q3 = 5
IQR = 3
118. d. z = –1.19
e. 0.1171
f. Do not reject the null hypothesis.
119. We conclude that the patient does have the HIV virus when, in fact, the patient does not.
120. c. z = 2.21; p = 0.0136
d. Reject the null hypothesis.
e. We conclude that the proportion of Californian professionals that wear jeans to work is greater than the proportion of non-Californian professionals when, in fact, it is not greater.
f. We cannot conclude that the proportion of Californian professionals that wear jeans to work is greater than the proportion of non-Californian professionals when, in fact, it is greater.
121. c. dependent means
122. t5
Chapter 12
123. (0.0424, 0.0770)
124. 2,401
125. Check student’s solution.
126. 0.6321
127. $360
128. N(72, 725√)
Chapter 13
129. 0.02
130. 0.40
131. 100140
132. 1060
133. p-value = 0; Reject the null hypothesis; conclude that they are dependent events
134. 8.4
135. B(14, 0.60)
136. d. Binomial
137. 0.3669
138. p-value = 0.0006; reject the null hypothesis; conclude that the averages are not equal
139. p-value = 0; reject the null hypothesis; conclude that the proportion of males is higher
140. Minimize α and β
141.
142. 1238
143. No; p-value = 0
144. a. uniform
References
Data from the San Jose Mercury News.
Baran, Daya. “20 Percent of Americans Have Never Used Email.” Webguild.org, 2010. Available online at: http://www.webguild.org/20080519/20-percent-of-americans-have-never-used-email (accessed October 17, 2013).
Data from Parade Magazine.