Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
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Chapter 8.2, Problem 42E
To determine
Obtain a 95% lower confidence interval for
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Solve the following LP problem using the Extreme Point Theorem:
Subject to:
Maximize Z-6+4y
2+y≤8
2x + y ≤10
2,y20
Solve it using the graphical method.
Guidelines for preparation for the teacher's
questions:
Understand the basics of Linear Programming (LP)
1. Know how to formulate an LP model.
2. Be able to identify decision variables, objective
functions, and constraints.
Be comfortable with graphical solutions
3. Know how to plot feasible regions and find extreme
points.
4. Understand how constraints affect the solution space.
Understand the Extreme Point Theorem
5. Know why solutions always occur at extreme points.
6. Be able to explain how optimization changes with
different constraints.
Think about real-world implications
7. Consider how removing or modifying constraints
affects the solution.
8. Be prepared to explain why LP problems are used in
business, economics, and operations research.
ged the variance for group 1) Different groups
of male stalk-eyed flies were raised on different diets: a high nutrient corn diet vs. a
low nutrient cotton wool diet. Investigators wanted to see if diet quality influenced
eye-stalk length. They obtained the following data:
d
Diet
Sample Mean Eye-stalk Length
Variance in Eye-stalk
d
size, n
(mm)
Length (mm²)
Corn (group 1)
21
2.05
0.0558
Cotton (group 2)
24
1.54
0.0812
=205-1.54-05T
a) Construct a 95% confidence interval for the difference in mean eye-stalk length
between the two diets (e.g., use group 1 - group 2).
An article in Business Week discussed the large spread between the federal funds rate and the average credit card rate. The table below is a frequency distribution of
the credit card rate charged by the top 100 issuers.
Credit Card Rates
Credit Card Rate
Frequency
18% -23%
19
17% -17.9%
16
16% -16.9%
31
15% -15.9%
26
14% -14.9%
Copy Data
8
Step 1 of 2: Calculate the average credit card rate charged by the top 100 issuers based on the frequency distribution. Round your answer to two decimal places.
Chapter 8 Solutions
Applied Statistics and Probability for Engineers
Ch. 8.1 - 8-1. For a normal population with known variance...Ch. 8.1 - 8-2. For a normal population with known variance...Ch. 8.1 - 8-3. Consider the one-sided confidence interval...Ch. 8.1 - 8-4. A confidence interval estimate is desired for...Ch. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7ECh. 8.1 - 8-8. Following are two confidence interval...Ch. 8.1 - 8-9. Suppose that n = 100 random samples of water...Ch. 8.1 - 8-10. Past experience has indicated that the...
Ch. 8.1 - 8-11. The yield of a chemical process is being...Ch. 8.1 - 8-12. The diameter of holes for a cable harness is...Ch. 8.1 - 8-13. A manufacturer produces piston rings for an...Ch. 8.1 - 8-14. The life in hours of a 75-watt light bulb is...Ch. 8.1 - 8-15. A civil engineer is analyzing the...Ch. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - 8-20. If the sample size n is doubled, by how much...Ch. 8.1 - 8-21. Go Tutorial An article in the Journal of...Ch. 8.1 - 8-22. Ishikawa et al. (Journal of Bioscience and...Ch. 8.1 - Prob. 23ECh. 8.2 - 8-24. Find the values of the following...Ch. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - 8-27. A random sample has been taken from a normal...Ch. 8.2 - 8-28. A random sample has been taken from a normal...Ch. 8.2 - 8-29. A research engineer for a tire manufacturer...Ch. 8.2 - 8-30. An Izod impact test was performed on 20...Ch. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - 8-34. An article in the Journal of Composite...Ch. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - 8-38. A particular brand of diet margarine was...Ch. 8.2 - 8-39. The compressive strength of concrete is...Ch. 8.2 - 8-40. A machine produces metal rods used in an...Ch. 8.2 - 8-41. An article in Computers & Electrical...Ch. 8.2 - Prob. 42ECh. 8.2 - 8-43. An article in Nuclear Engineering...Ch. 8.2 - Prob. 44ECh. 8.2 - 8-45. A healthcare provider monitors the number of...Ch. 8.3 - 8-46. Q Determine the values of the following...Ch. 8.3 - Prob. 47ECh. 8.3 - 8-48. A rivet is to be inserted into a hole. A...Ch. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.3 - Prob. 51ECh. 8.3 - Prob. 52ECh. 8.3 - Prob. 53ECh. 8.3 - 8-54. An article in Cancer Research [“Analyses of...Ch. 8.3 - Prob. 55ECh. 8.3 - Prob. 56ECh. 8.3 - Prob. 57ECh. 8.3 - Prob. 58ECh. 8.4 - 8-59. The fraction of defective integrated...Ch. 8.4 - Prob. 60ECh. 8.4 - 8-61. The 2004 presidential election exit polls...Ch. 8.4 - 8-62. Of 1000 randomly selected cases of lung...Ch. 8.4 - 8-63. An article in the Journal of the American...Ch. 8.4 - 8-64. A random sample of 50 suspension helmets...Ch. 8.4 - 8-65. The Arizona Department of Transportation...Ch. 8.4 - 8-66. A study is to be conducted of the percentage...Ch. 8.4 - 8-67. The U.S. Postal Service (USPS) has used...Ch. 8.4 - Prob. 68ECh. 8.4 - Prob. 69ECh. 8.4 - Prob. 70ECh. 8.4 - Prob. 72ECh. 8.6 - 8-73. Go Tutorial Consider the tire-testing data...Ch. 8.6 - 8-74. Consider the Izod impact test described in...Ch. 8.6 - 8-75. Consider the syrup-dispensing measurements...Ch. 8.6 - Prob. 76ECh. 8.6 - Prob. 77ECh. 8.6 - 8-78. Consider the margarine test described in...Ch. 8.6 - Prob. 79ECh. 8.6 - Prob. 80ECh. 8.6 - 8-81. Consider the test on the compressive...Ch. 8.6 - Prob. 82ECh. 8.6 - 8-83. Consider the fuel rod enrichment data...Ch. 8.6 - Prob. 84ECh. 8.6 - 8-85. Consider the tire-testing data in Exercise...Ch. 8.6 - Prob. 86ECh. 8.6 - Prob. 87ECh. 8.6 - 8-88. Consider the margarine test described in...Ch. 8.6 - Prob. 89ECh. 8.6 - Prob. 90ECh. 8.6 - 8-91. Consider the television tube brightness data...Ch. 8.6 - Prob. 92ECh. 8.6 - Prob. 93ECh. 8.6 - Prob. 94ECh. 8 - Prob. 95SECh. 8 - 8-96. A normal population has a known mean of 50...Ch. 8 - 8-97. A normal population has known mean μ = 50...Ch. 8 - 8-98. An article in the Journal of Sports Science...Ch. 8 - 8-99. The article “Mix Design for Optimal Strength...Ch. 8 - 8-100. An operating system for a personal computer...Ch. 8 - 8-101. Consider the hemoglobin data in Exercise...Ch. 8 - Prob. 102SECh. 8 - 8-103. The maker of a shampoo knows that customers...Ch. 8 - 8-104. During the 1999 and 2000 baseball seasons,...Ch. 8 - Prob. 105SECh. 8 - 8-106 An article in the ASCE Journal of Energy...Ch. 8 - 8-107. The tar content in 30 samples of cigar...Ch. 8 - Prob. 108SECh. 8 - Prob. 109SECh. 8 - Prob. 110SECh. 8 - 8-111. An article in the Journal of Applied...Ch. 8 - Prob. 112SECh. 8 - Prob. 113SECh. 8 - Prob. 114SECh. 8 - Prob. 115SECh. 8 - Prob. 116SECh. 8 - Prob. 117SECh. 8 - Prob. 118SECh. 8 - Prob. 119SE
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