Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118802250
Author: Montgomery
Publisher: WILEY
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Chapter 6.6, Problem 91E
a.
To determine
Construct the
b.
To determine
Find the simple
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Customers experiencing technical difficulty with their Internet cable service may call an 800 number for technical support. It takes the technician between 30 seconds and 11 minutes to resolve the problem. The distribution of this support time follows the uniform distribution.
Required:
a. What are the values for a and b in minutes?
Note: Do not round your intermediate calculations. Round your answers to 1 decimal place.
b-1. What is the mean time to resolve the problem?
b-2. What is the standard deviation of the time?
c. What percent of the problems take more than 5 minutes to resolve?
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Exercise 6-6 (Algo) (LO6-3)
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.
Admissions
Probability
1,100
0.5
1,400
0.4
1,300
0.1
Click here for the Excel Data File
Required:
What is the expected number of admissions for the fall semester?
Compute the variance and the standard deviation of the number of admissions.
Note: Round your standard deviation to 2 decimal places.
1. Find the mean of the x-values (x-bar)
and the mean of the y-values (y-bar) and write/label each here:
2. Label the second row in the table using proper notation; then, complete the table. In the fifth and sixth
columns, show the 'products' of what you're multiplying, as well as the answers.
X
y
x minus x-bar y minus y-bar (x minus x-bar)(y minus y-bar)
(x minus x-bar)^2
xy
16
20
34
4-2
5 2
3. Write the sums that represents Sxx and Sxy in the table, at the bottom of their respective columns.
4. Find the slope of the Regression line: bi
=
(simplify your answer)
5. Find the y-intercept of the Regression line, and then write the equation of the Regression line.
Show your work. Then, BOX your final answer. Express your line as "y-hat equals...
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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