Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118802250
Author: Montgomery
Publisher: WILEY
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Chapter 6.1, Problem 8E
To determine
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Peggy conducted a study to identify the randomness of rainy days in fall. For 15 days, she recorded whether it rained that day or not. They denoted a rainy day with the letter R, a day without rain with the letter N.
R N N R R N N R R N N R R R R
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Consider the grades for the math and history exams for 10 students on a scale from 0 to 12 in the following table.
Student
Math
History
1
4
8
2
5
9
3
7
9
4
12
10
5
10
8
6
8
5
7
9
6
8
9
6
9
11
9
10
7
10
Compute the Spearman correlation coefficient. Round your answer to three decimal places.
To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:
Twin Pair
1
2
3
4
5
6
School A
169
157
115
99
119
113
School B
123
157
112
99
121
122
Twin Pair
7
8
9
10
11
12
School A
120
121
124
145
138
117
School B
153
90
124
140
142
102
Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school…
Chapter 6 Solutions
Applied Statistics and Probability for Engineers
Ch. 6.1 - 6-1. Will the sample mean always correspond to one...Ch. 6.1 - 6-2. Will exactly half of the observations in a...Ch. 6.1 - Prob. 3ECh. 6.1 - 6-4. For any set of data values, is it possible...Ch. 6.1 - 6-5. Can the sample standard deviation be equal to...Ch. 6.1 - 6-6. Suppose that you add 10 to all of the...Ch. 6.1 - 6-7. Eight measurements were made on the inside...Ch. 6.1 - Prob. 8ECh. 6.1 - Prob. 9ECh. 6.1 - 6-10. An article in the Journal of Structural...
Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Prob. 13ECh. 6.1 - 6-14. Preventing fatigue crack propagation in...Ch. 6.1 - 6-15. An article in the Journal of Physiology...Ch. 6.1 - Prob. 16ECh. 6.1 - 6-17. The pH of a solution is measured eight times...Ch. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Prob. 21ECh. 6.1 - 6-22. Cloud seeding, a process in which chemicals...Ch. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.2 - 6-25. For the data in Exercise 6-20,
(a) Construct...Ch. 6.2 - 6-26. For the data in Exercise 6-21,
(a) Construct...Ch. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - 6-30. An article in Technometrics (1977, Vol. 19,...Ch. 6.2 - 6-31. Go Tutorial The following data are the...Ch. 6.2 - Prob. 32ECh. 6.2 - 6-33. The following data represent the yield on 90...Ch. 6.2 - 6-34. Calculate the sample median, mode, and mean...Ch. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Prob. 37ECh. 6.2 - Prob. 38ECh. 6.2 - Prob. 39ECh. 6.2 - 6-40. An important quality characteristic of water...Ch. 6.2 - Prob. 41ECh. 6.2 - 6-42. A semiconductor manufacturer produces...Ch. 6.2 - Prob. 43ECh. 6.2 - 6-44. In their book Introduction to Linear...Ch. 6.2 - Prob. 45ECh. 6.3 - 6-46. Construct a frequency distribution and...Ch. 6.3 - 6-47. Construct a frequency distribution and...Ch. 6.3 - 6-48. Construct a frequency distribution and...Ch. 6.3 - Prob. 49ECh. 6.3 - 6-50. Construct frequency distributions and...Ch. 6.3 - 6-51. Construct histograms with 8 and 16 bins for...Ch. 6.3 - 6-52. Construct histograms with 8 and 16 bins for...Ch. 6.3 - Prob. 53ECh. 6.3 - 6-54. Construct a histogram for the female student...Ch. 6.3 - 6-55. Construct a histogram for the spot weld...Ch. 6.3 - 6-56. Construct a histogram for the water quality...Ch. 6.3 - Prob. 57ECh. 6.3 - Prob. 58ECh. 6.3 - 6-59. Construct a histogram for the pinot noir...Ch. 6.3 - Prob. 60ECh. 6.3 - Prob. 61ECh. 6.3 - Prob. 62ECh. 6.3 - 6-63. Construct a frequency distribution and...Ch. 6.3 - Prob. 64ECh. 6.4 - 6-65. Using the data on bridge conditions from...Ch. 6.4 - 6-66. Using the data on acid rain from Exercise...Ch. 6.4 - 6-67. Using the data from Exercise 6-22 on cloud...Ch. 6.4 - 6-68. Using the data from Exercise 6-24 on swim...Ch. 6.4 - Prob. 69ECh. 6.4 - Prob. 70ECh. 6.4 - 6-71. The nine measurements that follow are...Ch. 6.4 - Prob. 72ECh. 6.4 - Prob. 73ECh. 6.4 - Prob. 75ECh. 6.4 - Prob. 76ECh. 6.4 - Prob. 77ECh. 6.4 - Prob. 78ECh. 6.4 - Prob. 79ECh. 6.4 - 6-80 In Exercise 6-69, data were presented on the...Ch. 6.4 - 6-81. An article in Nature Genetics...Ch. 6.5 - 6-82. The following data are the viscosity...Ch. 6.5 - Prob. 83ECh. 6.5 - 6-84. In their book Time Series Analysis,...Ch. 6.5 - Prob. 85ECh. 6.5 - Prob. 86ECh. 6.5 - Prob. 87ECh. 6.5 - Prob. 88ECh. 6.5 - Prob. 89ECh. 6.6 - Prob. 90ECh. 6.6 - Prob. 91ECh. 6.6 - 6-92. An article in the Journal of Pharmaceuticals...Ch. 6.7 - 6-93. Construct a normal probability plot of the...Ch. 6.7 - 6-94. Construct a normal probability plot of the...Ch. 6.7 - Prob. 95ECh. 6.7 - 6-96. Construct a normal probability plot of the...Ch. 6.7 - Prob. 97ECh. 6.7 - 6-98. Construct a normal probability plot of the...Ch. 6.7 - Prob. 99ECh. 6.7 - 6-100. Construct a normal probability plot of the...Ch. 6.7 - Prob. 101ECh. 6.7 - Prob. 102ECh. 6 - Prob. 103SECh. 6 - 6-104. The concentration of a solution is measured...Ch. 6 - 6-105. Table 6E.10 shows unemployment data for the...Ch. 6 - 6-106. A sample of six resistors yielded the...Ch. 6 - 6-107. Consider the following two samples:
Sample...Ch. 6 - 6-108. An article in Quality Engineering (1992....Ch. 6 - Prob. 109SECh. 6 - Prob. 110SECh. 6 - Prob. 111SECh. 6 - Prob. 112SECh. 6 - 6-113. Q A manufacturer of coil springs is...Ch. 6 - 6-114. A communication channel is being monitored...Ch. 6 - Prob. 115SECh. 6 - Prob. 116SECh. 6 - 6-117. Construct a normal probability plot of the...Ch. 6 - Prob. 118SECh. 6 - Prob. 119SECh. 6 - Prob. 120SECh. 6 - Prob. 121SECh. 6 - 6-122. In 1789, Henry Cavendish estimated the...Ch. 6 - Prob. 123SECh. 6 - 6-124. Patients arriving at a hospital emergency...Ch. 6 - Prob. 125SECh. 6 - 6-126. The energy consumption for 90 gas-heated...Ch. 6 - Prob. 127SECh. 6 - Prob. 128SECh. 6 - Prob. 129SECh. 6 - Prob. 130SECh. 6 - Prob. 131SECh. 6 - Prob. 132SECh. 6 - Prob. 133SECh. 6 - Prob. 134SECh. 6 - Prob. 135SECh. 6 - Prob. 136SECh. 6 - Prob. 137SE
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