# 0.1 Review exercises (ch 3-13)  (Page 12/12)

 Page 12 / 12

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.

1. 24%
2. 27%

26. qualitative

27. 0.36

28. 0.7636

29.

1. No
2. No

30. B (10, 0.76)

31. 0.9330

32.

1. X = the number of questions posted to the statistics listserv per day.
2. X = 0, 1, 2,…
3. X ~ P (2)
4. 0

33. $150 34. Matt 35. 1. false 2. true 3. false 4. false 36. 16 37. first quartile: 2 second quartile: 2 third quartile: 3 38. 0.5 39. $\frac{7}{15}$ 40. $\frac{2}{15}$ ## Chapter 6 41. 1. true 2. true 3. False – the median and the mean are the same for this symmetric distribution. 4. true 42. 1. 8 2. 8 3. P ( x < k ) = 0.65 = ( k – 3) $\left(\frac{1}{10}\right)$ . k = 9.5 43. 1. False – $\frac{3}{4}$ of the data are at most five. 2. True – each quartile has 25% of the data. 3. False – that is unknown. 4. False – 50% of the data are four or less. 44. d. G and H are independent events. 45. 1. False – J and K are independent so they are not mutually exclusive which would imply dependency (meaning P ( J AND K ) is not 0). 2. False – see answer c. 3. True – P ( J OR K ) = P ( J ) + P ( K ) – P ( J AND K ) = P ( J ) + P ( K ) – P ( J ) P ( K ) = 0.3 + 0.6 – (0.3)(0.6) = 0.72. Note the P ( J AND K ) = P ( J ) P ( K ) because J and K are independent. 4. False – J and K are independent so P ( J ) = P ( J | K ) 46. a. P (5) ## Chapter 7 47. a. U (0, 4) 48. b. 2 hour 49. a. $\frac{1}{4}$ 50. 1. 0.7165 2. 4.16 3. 0 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. $\frac{1}{2}$ 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. 1. 2.8 2. 1.48 3. 90% 77. M = 3; Q 1 = 1; Q 3 = 4 78. 1 and 4 79. d. $\frac{8}{70}$ 80. c. $\frac{40}{70}$ 81. a. $\frac{9}{19}$ 82. b. false 83. b. false 84. b. false 85. 1. X = the number of pies Lee bakes every day. 2. P (20) 3. 0.1122 86. CI: (5.25, 8.48) 87. 1. uniform 2. exponential 3. normal ## Chapter 10 88. $\frac{77}{100}$ 89. $\frac{12}{42}$ 90. 1. false 2. false 3. true 4. false 91. N (180, 16.43) 92. a. The distribution for $\overline{X}$ is still uniform with the same mean and standard deviation as the distribution for X . 93. c. The distribution for $\sum X$ is normal with a larger mean and a larger standard deviation than the distribution for X . 94. 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. 1. true 2. false 3. false 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. 1. X = the number of patients with a shotgun wound the emergency room gets per 28 days 2. P (4) 3. 0.0183 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
Q 1 = 2
Q 3 = 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. t 5

## Chapter 12

123. (0.0424, 0.0770)

124. 2,401

125. Check student's solution.

126. 0.6321

127. \$360

128.

## Chapter 13

129. 0.02

130. 0.40

131. $\frac{100}{140}$

132. $\frac{10}{60}$

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.

1. No
2. Yes, P ( M AND 30+) = 0

142. $\frac{12}{38}$

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).

Uttam
How can I calculate the Class Mark, Relative frequency and the cumulative frequency on a frequency table?
what is the important in business planning and economics
explain the limitation and scope of statistics
mahelt
statistics is limited to use where data can be measured quantitatively. statistics scope is wider such as in economic planning, medical science etc.
Gurpreet
can you send me mcq type questions
Yas
Umar
which books are best to learn applied statistics for data science/ML
Gurpreet
A population consists of five numbers 2,3,6,8,11.consists all possible samples of size two which can be drawn with replacement from this population. calculate the S.E of sample means
A particular train reaches the destination in time in 75 per cent of the times.A person travels 5 times in that train.Find probability that he will reach the destination in time, for all the 5 times.
0.237
Amresh
umesh
p(x=5)= 5C0 p^5 q^0 solve this
Amresh
umesh
ok
umesh
5C0=1 p^5= (3/4)^5 q^0=(1/4)^0
Amresh
Hint(0.75 in time and 0.25 not in time)
kamugi
what is standard deviation?
It is the measure of the variation of certain values from the Mean (Center) of a frequency distribution of sample values for a particular Variable.
Dominic
what is the number of x
10
Elicia
Javed Arif
Jawed
how will you know if a group of data set is a sample or population
population is the whole set and the sample is the subset of population.
umair
if the data set is drawn out of a larger set it is a sample and if it is itself the whole complete set it can be treated as population.
Bhavika
hello everyone if I have the data set which contains measurements of each part during 10 years, may I say that it's the population or it's still a sample because it doesn't contain my measurements in the future? thanks
Alexander
Pls I hv a problem on t test is there anyone who can help?
Peggy
Dominic
Bhavika is right
Dominic
what is the problem peggy?
Bhavika
hi
Sandeep
Hello
hi
Bhavika
hii Bhavika
Dar
Hi eny population has a special definition. if that data set had all of characteristics of definition, that is population. otherwise that is a sample
Hoshyar
three coins are tossed. find the probability of no head
three coins are tossed consecutively or what ?
umair
umair
or .125 is the probability of getting no head when 3 coins are tossed
umair
🤣🤣🤣
Simone
what is two tailed test
if the diameter will be greater than 3 cm then the bullet will not fit in the barrel of the gun so you are bothered for both the sides.
umair
in this test you are worried on both the ends
umair
lets say you are designing a bullet for thw gun od diameter equals 3cm.if the diameter of the bullet is less than 3 cm then you wont be able to shoot it
umair
In order to apply weddles rule for numerical integration what is minimum number of ordinates
excuse me?
Gabriel
why?
didn't understand the question though.
Gabriel
which question? ?
We have rules of numerical integration like Trapezoidal rule, Simpson's 1/3 and 3/8 rules, Boole's rule and Weddle rule for n =1,2,3,4 and 6 but for n=5?
John
Someone should help me please, how can I calculate the Class Mark, Relative frequency and the cumulative frequency on a frequency table?
IJOGI
geometric mean of two numbers 4 and 16 is:
10
umair
really
iphone
quartile deviation of 8 8 8 is:
iphone
sorry 8 is the geometric mean of 4,16
umair
quartile deviation of 8 8 8 is
iphone
can you please expalin the whole question ?
umair
mcq
iphone
h
iphone
can you please post the picture of that ?
umair
how
iphone
hello
John
10 now
John
how to find out the value
can you be more specific ?
umair
yes
KrishnaReddy
what is the difference between inferential and descriptive statistics
descriptive statistics gives you the result on the the data like you can calculate various things like variance,mean,median etc. however, inferential stats is involved in prediction of future trends using the previous stored data.
umair
if you need more help i am up for the help.
umair
Thanks a lot
Anjali
Inferential Statistics involves drawing conclusions on a population based on analysis of a sample. Descriptive statistics summarises or describes your current data as numerical calculations or graphs.
fred
my pleasure😊. Helping others offers me satisfaction 😊
umair
inferential statistics the results of the statistical analysis of the sample data of the population are used for generalization or decision making about the population why descriptive statistics, the analyzed data are presented without generalization or decision making about the population.
IJOGI