Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Textbook Question
Chapter 9.5, Problem 59E
Obtain or compute the following quantities:
a. F.05,5,8 b. F.05,8,5 c. F.95,5,8 d. F.95,8,5
e. The 99th percentile of the F distribution with
v1 = 10, v2 = 12
f. The 1st percentile of the F distribution with
v1 = 10, v2 = 12
g. P(F ≤ 6.16) for v1 = 6, v2 = 4
h. P(.177 ≤ F ≤ 4.74) for v1 = 10, v2 = 5
Expert Solution & Answer
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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).
Chapter 9 Solutions
Probability and Statistics for Engineering and the Sciences
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